Question: A school administrator who was concerned about grade inflation looked over the number of straight-A students from year to year. According to the table, what was the rate of change between 2019 and 2020?

Answer: -2

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{23 students - 25 students}{2020 - 2019}
 = \frac{23 students - 25 students}{1 year}
 = \frac{-2 students}{1 year}
 = -2 students per year
The rate of change between 2019 and 2020 was - 2 students per year.


Question: Look at Isabel's pay stub. Isabel lives in a state that has state income tax. How much did Isabel make after taxes?

Answer: 1,522.81

Employee | Pay period |
Isabel Jordan | October 1-15 |
Total earnings | | $2,100.00
Federal income tax | $295.00 |
State income tax | $121.59 |
Other taxes | $160.60 |
Total taxes | | ?
Pay after taxes | | ?

Isabel Jordan
Total earnings
Federal income tax
State income tax
Other taxes
Total taxes
Pay after taxes

Solution:
Find how much Isabel made after taxes. Find the total payroll tax, then subtract it from the total earnings.
To find the total payroll tax, add the federal income tax, state income tax, and other taxes.
The total earnings are $2,100.00. The total payroll tax is $577.19. Subtract to find the difference.
$2,100.00 - $577.19 = $1,522.81
Isabel made $1,522.81 after taxes.


Question: Look at the following schedule. Which event ends at 1.35 P.M.?

Choices:
- soccer game
- dance competition
- obstacle course
- swimming competition

Answer: dance competition

Event | Begin | End
softball game | 10:15 A.M. | 11:00 A.M.
pie-eating contest | 11:15 A.M. | 12:10 P.M.
soccer game | 12:25 P.M. | 12:55 P.M.
dance competition | 12:35 P.M. | 1:35 P.M.
swimming competition | 1:30 P.M. | 2:05 P.M.
obstacle course | 2:05 P.M. | 2:45 P.M.
lunch | 2:50 P.M. | 3:15 P.M.

softball game
pie-eating contest
soccer game
dance competition
swimming competition
obstacle course
lunch

Solution: Find 1:35 P. M. on the schedule. The dance competition ends at 1:35 P. M.


Question: Pedro has $1.00. Does he have enough to buy a tiny gold bead and a brown cat's eye bead?

Choices:
- yes
- no

Answer: no

shiny metal bead | $0.16
tiny gold bead | $0.15
brown cat's eye bead | $0.95
shiny red bead | $0.77
oval turquoise bead | $0.75

shiny metal bead
tiny gold bead
brown cat's eye bead
shiny red bead
oval turquoise bead

Solution:
Add the price of a tiny gold bead and the price of a brown cat's eye bead:

$0.15 + $0.95 = $1.10

$1.10 is more than $1.00. Pedro does not have enough money.


Question: Look at the following schedule. Sharon got on the bus at downtown at 11.45 A.M. What time will she get to the art museum?

Choices:
- 1:30 P.M.
- 12:30 P.M.
- 1:15 P.M.
- 12:15 P.M.

Answer: 1:30 P.M.

skyscraper
downtown
city hall
art museum
the zoo

Solution:
Find 11:45 A. M. in the row for downtown. That column shows the schedule for the bus that Sharon is on.

Look down the column until you find the row for the art museum.

Sharon will get to the art museum at 1:30 P. M.


Question: Ronald kept track of how long it took to finish his homework each day. According to the table, what was the rate of change between Friday and Saturday?

Answer: 1

Day | Minutes
Tuesday | 34
Wednesday | 36
Thursday | 45
Friday | 40
Saturday | 41

Tuesday Wednesday Thursday Friday Saturday

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{41 minutes - 40 minutes}{1 day}
 = \frac{1 minute}{1 day}
 = 1 minute per day
The rate of change between Friday and Saturday was 1 minute per day.


Question: Each pond has 5 frogs. How many frogs are in 4 ponds?

Answer: 20

Number of ponds | Number of frogs
1 | 5
2 | 10
3 | 15
4 | ?

Solution: Count by fives. Use the chart: there are 20 frogs in 4 ponds.


Question: Maya went to the store. She bought 2 pounds of oyster mushrooms and 3 pounds of chanterelle mushrooms. How much did she spend?

Answer: 84

oyster mushrooms | $18/pound
crimini mushrooms | $5/pound
chanterelle mushrooms | $16/pound
portobello mushrooms | $9/pound
straw mushrooms | $9/pound

oyster mushrooms
crimini mushrooms
chanterelle mushrooms
portobello mushrooms
straw mushrooms

Solution:
Find the cost of the oyster mushrooms. Multiply:

$18 × 2 = $36

Find the cost of the chanterelle mushrooms. Multiply:

$16 × 3 = $48

Now find the total cost by adding:

$36 + $48 = $84

She spent $84.


Question: Fans of the Weston baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2013 and 2014?

Answer: 2

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{40 games - 38 games}{2014 - 2013}
 = \frac{40 games - 38 games}{1 year}
 = \frac{2 games}{1 year}
 = 2 games per year
The rate of change between 2013 and 2014 was 2 games per year.


Question: What is the total cost for 3 kilograms of cheddar popcorn?

Answer: 4.89

ranch popcorn | $1.14 per kg
kettle corn | $1.22 per kg
chocolate popcorn | $0.45 per kg
Parmesan popcorn | $1.34 per kg
cheddar popcorn | $1.63 per kg

ranch popcorn
kettle corn
chocolate popcorn
Parmesan popcorn
cheddar popcorn

$1.14 per kg
$1.22 per kg
$0.45 per kg
$1.34 per kg
$1.63 per kg

Solution:
Find the cost of the cheddar popcorn. Multiply the price per kilogram by the number of kilograms.

$1.63 × 3 = $4.89

The total cost is $4.89.


Question: The librarian at the public library counted the number of books on each shelf. What is the largest number of books?

Answer: 76

Solution:
Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.

Now find the highest leaf in the last row. The highest leaf is 6.

The largest number of books has a stem of 7 and a leaf of 6. Write the stem first, then the leaf: 76.

The largest number of books is 76 books.


Question: Every year Greenwood has a citywide relay and reports the winning times. According to the table, what was the rate of change between 2017 and 2018?

Answer: 3

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{26 minutes - 23 minutes}{2018 - 2017}
 = \frac{26 minutes - 23 minutes}{1 year}
 = \frac{3 minutes}{1 year}
 = 3 minutes per year
The rate of change between 2017 and 2018 was 3 minutes per year.


Question: Kendra kept track of the number of games her soccer team won each year. According to the table, what was the rate of change between 2010 and 2011?

Answer: -7

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{11 games - 18 games}{2011 - 2010}
 = \frac{11 games - 18 games}{1 year}
 = \frac{-7 games}{1 year}
 = -7 games per year
The rate of change between 2010 and 2011 was - 7 games per year.


Question: Each vase has 5 poppies. How many poppies are in 3 vases?

Answer: 15

Number of vases | Number of poppies
1 | 5
2 | 10
3 | ?

Solution: Count by fives. Use the chart: there are 15 poppies in 3 vases.


Question: Carla looked at the dates of the digital photos on her computer to find out how many she had taken in the past 5 days. What is the range of the numbers?

Answer: 9

Day | Number of photographs
Wednesday | 1
Thursday | 10
Friday | 10
Saturday | 8
Sunday | 7

Wednesday Thursday Friday Saturday Sunday

Solution:
Read the numbers from the table.

1, 10, 10, 8, 7

First, find the greatest number. The greatest number is 10.

Next, find the least number. The least number is 1.

Subtract the least number from the greatest number:

10 − 1 = 9

The range is 9.


Question: A wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. The consulting company gathered data from each customer that purchased hiking shoes, and recorded the shoe brand and the customer's level of happiness. What is the probability that a randomly selected customer purchased a Footlong shoe and is pleased? Simplify any fractions.

Answer: 7/18

 | Displeased | Pleased
A Footlong shoe | 3 | 7
A Toes Knows shoe | 2 | 6

Solution:
Let A be the event "the customer purchased a Footlong shoe" and B be the event "the customer is pleased".
To find the probability that a customer purchased a Footlong shoe and is pleased, first identify the sample space and the event.
The outcomes in the sample space are the different customers. Each customer is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the customer purchased a Footlong shoe and is pleased".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the customer purchased a Footlong shoe and is pleased", so look at the table to see how many customers purchased a Footlong shoe and are pleased.
The number of customers who purchased a Footlong shoe and are pleased is 7.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of customers.
3 + 2 + 7 + 6 = 18

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{7}{18}
The probability that a customer purchased a Footlong shoe and is pleased is \frac{7}{18}.


Question: Some dealerships compared their vehicle sales. In all, how many vehicles did Ben's Used Cars and Affordable Cars sell?

Answer: 1,471

Dealership | Number of vehicles
Ben's Used Cars | 856
Truck City | 392
Ledbetter Auto Mall | 653
Affordable Cars | 615

Ben's Used Cars
Truck City
Ledbetter Auto Mall
Affordable Cars

Solution:
Find the numbers in the table.

Ben's Used Cars: 856
Affordable Cars: 615

Now add: 856 + 615 = 1,471.

In all, Ben's Used Cars and Affordable Cars sold 1,471 vehicles.


Question: Some truck drivers wrote down how far they each drove in the past month. How many more miles did Evelyn drive than Zoe?

Answer: 1,539

Name | Miles
Evelyn | 6,746
Shelby | 2,572
Zoe | 5,207

Solution:
Find the numbers in the table.

Evelyn: 6,746
Zoe: 5,207

Now subtract: 6,746 - 5,207 = 1,539.

Evelyn drove 1,539 more miles.


Question: A Technical Assistance Manager monitored his customers' wait times. How many people waited for less than 60 minutes?

Answer: 7

Technical assistance wait times (minutes)

Solution:
Count all the leaves in the rows with stems 0, 1, 2, 3, 4, and 5.

You counted 7 leaves, which are blue in the stem-and-leaf plot above. 7 people waited for less than 60 minutes.


Question: A newspaper researched how many grocery stores there are in each town. What is the mean of the numbers?

Answer: 5

Town | Number of stores
Marion | 4
Greenwood | 4
Mayfield | 3
Columbia | 6
Chesterton | 6
Riverside | 6
Springfield | 2
Watertown | 9

Marion Greenwood Mayfield Columbia Chesterton Riverside Springfield Watertown

Solution:
Read the numbers from the table.

4, 4, 3, 6, 6, 6, 2, 9

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

4 + 4 + 3 + 6 + 6 + 6 + 2 + 9 = 40

Now divide the sum by the number of numbers:

40 ÷ 8 = 5

The mean is 5.


Question: Look at this table. Is this relation a function?

Choices:
- yes
- no

Answer: no

Solution:
Look at the x-values in the table.

The x-value 7 is paired with multiple y-values, so the relation is not a function.


Question: Look at the following schedule. Tyrone just missed the 3.45 A.M. train at Skyscraper City. What time is the next train?

Choices:
- 2:15 P.M.
- 3:45 A.M.
- 1:15 A.M.
- 11:30 A.M.

Answer: 11:30 A.M.

Pleasant River Campground
Magician Village
Skyscraper City
Comfy Pillows Resort
Happy Cow Farm
Snowy Mountain
Rocky Ravine Town
City of Green Trees

Solution:
Find 3:45 A. M. in the row for Skyscraper City.

Look for the next train in that row.

The next train is at 11:30 A. M.


Question: Professor Wiley informed his students of their scores on the midterm exam. How many students scored at least 20 points but fewer than 90 points?

Answer: 18

Solution:
Count all the leaves in the rows with stems 2, 3, 4, 5, 6, 7, and 8.

You counted 18 leaves, which are blue in the stem-and-leaf plot above. 18 students scored at least 20 points but fewer than 90 points.


Question: A pair of Union High School hockey fans counted the number of games won by the school each year. According to the table, what was the rate of change between 2009 and 2010?

Answer: 0

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{20 games - 20 games}{2010 - 2009}
 = \frac{20 games - 20 games}{1 year}
 = \frac{0 games}{1 year}
 = 0 games per year
The rate of change between 2009 and 2010 was 0 games per year.


Question: Emmett has $172.00. Does he have enough to buy a silver coat rack and a crystal sculpture?

Choices:
- yes
- no

Answer: no

silver coat rack | $88.00
crystal sculpture | $85.00
crystal vase | $51.00
chandelier | $50.00

silver coat rack
crystal sculpture
crystal vase
chandelier

Solution:
Add the price of a silver coat rack and the price of a crystal sculpture:

$88.00 + $85.00 = $173.00

$173.00 is more than $172.00. Emmett does not have enough money.


Question: The city recorded how many fire hydrants there are on each street. What is the median of the numbers?

Answer: 5

Street | Number of hydrants
Maple Street | 6
Cedar Street | 5
Fir Street | 4
Oak Street | 4
Pine Street | 6
Rose Street | 5
Aspen Street | 7

Maple Street
Cedar Street
Fir Street
Oak Street
Pine Street
Rose Street
Aspen Street

Solution:
Read the numbers from the table.

6, 5, 4, 4, 6, 5, 7

First, arrange the numbers from least to greatest:

4, 4, 5, 5, 6, 6, 7

Now find the number in the middle.

4, 4, 5, 5, 6, 6, 7

The number in the middle is 5.

The median is 5.


Question: If Joel buys 5 pounds of large binder clips and 2 pounds of standard paper clips, how much will he spend?

Answer: 35.33

standard paper clips | $4.39/lb
small binder clips | $4.37/lb
colored paper clips | $5.20/lb
large binder clips | $5.31/lb
medium binder clips | $4.25/lb

standard paper clips
small binder clips
colored paper clips
large binder clips
medium binder clips

Solution:
Find the cost of the large binder clips. Multiply:

$5.31 × 5 = $26.55

Find the cost of the standard paper clips. Multiply:

$4.39 × 2 = $8.78

Now find the total cost by adding:

$26.55 + $8.78 = $35.33

He will spend $35.33.


Question: Lena is looking at the price of new cell phones online. Her favorite company, OrangeTech, has a special this weekend. Lena can add an upgrade to a phone for an additional cost, or she can buy a used phone to get a discount. The change in price for each option is shown in the table. Which option results in a greater change in price?

Choices:
- adding an upgrade
- buying a used phone

Answer: buying a used phone

Option | Change in phone price
Add an upgrade | $60
Buy a used phone | -$75

Solution:
To find the option that results in a greater change in price, use absolute value. Absolute value tells you how much the price changes.
Add an upgrade: |$60| = $60
Buy a used phone: |-$75| = $75
Buying a used phone results in a greater change in price. It reduces the price by $75.


Question: Dr. Brennan, a zoo director, researched ticket prices at other zoos around the country. How much does a child ticket to the Southern Nevada Zoo cost?

Answer: 6

Zoo | Adult | Child
Atlanta | $19 | $14
Bronx | $15 | $11
Southern Nevada | $8 | $6

Solution:
First, find the row for Southern Nevada. Then find the number in the Child column.

This number is $6.00. A child ticket to the Southern Nevada Zoo cost $6.


Question: Gwen bought 4 pounds of sawdust and 2 pounds of bark. How much did she spend?

Answer: 26

sawdust | $4 per lb
sand | $5 per lb
cement | $4 per lb
bark | $5 per lb
mulch | $4 per lb

$4 per lb
$5 per lb
$4 per lb
$5 per lb
$4 per lb

Solution:
Find the cost of the sawdust. Multiply:

$4 × 4 = $16

Find the cost of the bark. Multiply:

$5 × 2 = $10

Now find the total cost by adding:

$16 + $10 = $26

She spent $26.


Question: How much money does Evelyn need to buy a piece of rose quartz and a piece of copper?

Answer: 0.15

orange agate | $0.04
piece of green slate | $0.02
piece of copper | $0.09
yellow tiger's eye | $0.06
piece of rose quartz | $0.06

orange agate
piece of green slate
piece of copper
yellow tiger's eye
piece of rose quartz

Solution:
Add the price of a piece of rose quartz and the price of a piece of copper:

$0.06 + $0.09 = $0.15

Evelyn needs $0.15.


Question: Look at the following schedule. Which event ends at 2.45 P.M.?

Choices:
- men's vault event
- men's parallel bars event
- men's pommel horse event
- women's vault event

Answer: men's pommel horse event

Event | Begin | End
women's floor exercise | 10:05 A.M. | 10:45 A.M.
men's vault | 10:35 A.M. | 11:20 A.M.
men's rings | 11:25 A.M. | 12:20 P.M.
men's parallel bars | 12:15 P.M. | 12:55 P.M.
women's balance beam | 12:35 P.M. | 1:05 P.M.
women's uneven bars | 12:50 P.M. | 1:15 P.M.
men's high bar | 1:00 P.M. | 1:30 P.M.
women's vault | 1:45 P.M. | 2:10 P.M.
men's pommel horse | 2:20 P.M. | 2:45 P.M.
men's floor exercise | 2:40 P.M. | 3:30 P.M.

women's floor exercise
men's vault
men's rings
men's parallel bars
women's balance beam
women's uneven bars
men's high bar
women's vault
men's pommel horse
men's floor exercise

Solution: Find 2:45 P. M. on the schedule. The men's pommel horse event ends at 2:45 P. M.


Question: Look at the table. Then answer the question. At a price of $530, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $530, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.


Question: How much money does Jessica need to buy a purple T-shirt and an orange T-shirt?

Answer: 10

purple T-shirt | $8
pair of white socks | $6
orange T-shirt | $2
black skirt | $3

purple T-shirt
pair of white socks
orange T-shirt
black skirt

Solution:
Add the price of a purple T-shirt and the price of an orange T-shirt:

$8 + $2 = $10

Jessica needs $10.


Question: Franco recalled how many minutes he had spent at theater rehearsal in the past 5 days. What is the mean of the numbers?

Answer: 69

Day | Minutes
Wednesday | 68
Thursday | 66
Friday | 67
Saturday | 67
Sunday | 77

Solution:
Read the numbers from the table.

68, 66, 67, 67, 77

First, count how many numbers are in the group.

There are 5 numbers.

Now add all the numbers together:

68 + 66 + 67 + 67 + 77 = 345

Now divide the sum by the number of numbers:

345 ÷ 5 = 69

The mean is 69.


Question: A radio station paid attention to how many listeners it had each month. How many more listeners did the radio station have in July than in June?

Answer: 4,727

Month | Number of listeners
April | 6,394
May | 1,329
June | 2,833
July | 7,560

Solution:
Find the numbers in the table.

July: 7,560
June: 2,833

Now subtract: 7,560 - 2,833 = 4,727.

The radio station had 4,727 more listeners in July.


Question: How much money does Owen need to buy a jersey signed by a famous hockey player and a photograph signed by a famous movie star?

Answer: 89

photograph signed by a famous television star | $60
CD signed by a famous band | $74
photograph signed by a famous movie star | $24
program signed by a famous dancer | $35
jersey signed by a famous hockey player | $65

Solution:
Add the price of a jersey signed by a famous hockey player and the price of a photograph signed by a famous movie star:

$65 + $24 = $89

Owen needs $89.


Question: Each sheet has 2 stamps. How many stamps are on 5 sheets?

Answer: 10

Number of sheets | Number of stamps
1 | 2
2 | 4
3 | 6
4 | 8
5 | ?

Solution: Count by twos. Use the chart: there are 10 stamps on 5 sheets.


Question: A hardware store monitored how many hammers it sold in the past 6 days. What is the mean of the numbers?

Answer: 5

Day | Number of hammers
Thursday | 6
Friday | 2
Saturday | 10
Sunday | 2
Monday | 7
Tuesday | 3

Thursday Friday Saturday Sunday Monday Tuesday

Solution:
Read the numbers from the table.

6, 2, 10, 2, 7, 3

First, count how many numbers are in the group.

There are 6 numbers.

Now add all the numbers together:

6 + 2 + 10 + 2 + 7 + 3 = 30

Now divide the sum by the number of numbers:

30 ÷ 6 = 5

The mean is 5.


Question: Michael buys 1.2 pounds of navel oranges. What is the total cost?

Answer: 6

Persian oranges | $1/pound
blood oranges | $2/pound
navel oranges | $5/pound
Valencia oranges | $3/pound
tangerines | $1/pound
pomelos | $2/pound

Persian oranges
blood oranges
navel oranges
Valencia oranges
tangerines
pomelos

Solution:
Find the cost of the navel oranges. Multiply the price per pound by the number of pounds.
$5 × 1.2 = $6
The total cost is $6.


Question: A beauty salon in Oxford has four beauticians and keeps track of how often clients request each one specifically. What fraction of requests were for Mackenzie? Simplify your answer.

Answer: 41/240

Beautician | Requests
Tara | 130
Cody | 980
Mackenzie | 410
Layla | 880

Solution:
Find how many clients requested Mackenzie.

410

Find how many requests were made in total.

130 + 980 + 410 + 880 = 2,400

Divide 410 by2,400.

\frac{410}{2,400}

Reduce the fraction.

\frac{410}{2,400} → \frac{41}{240}

\frac{41}{240} of clients requested Mackenzie.


Question: How much money does Chandler need to buy an antique rosewood corner cabinet, an antique elm coffee table, and an antique pine chest of drawers?

Answer: 7,985

antique elm coffee table | $1,884.00
antique rosewood corner cabinet | $4,927.00
antique pine chest of drawers | $1,174.00
antique oak writing desk | $4,882.00

antique elm coffee table
antique rosewood corner cabinet
antique pine chest of drawers
antique oak writing desk

Solution:
Find the total cost of an antique rosewood corner cabinet, an antique elm coffee table, and an antique pine chest of drawers.

$4,927.00 + $1,884.00 + $1,174.00 = $7,985.00

Chandler needs $7,985.00.


Question: Bobby has $38.70. How much money will Bobby have left if he buys a cookbook and a history book?

Answer: 15.08

dog calendar | $13.81
history book | $13.40
book of piano music | $13.91
cookbook | $10.22

dog calendar
history book
book of piano music
cookbook

Solution:
Find the total cost of a cookbook and a history book.

$10.22 + $13.40 = $23.62

Now subtract the total cost from the starting amount.

$38.70 - $23.62 = $15.08

Bobby will have $15.08 left.


Question: Abigail, an employee at Harmon's Convenience Store, looked at the sales of each of its soda products. On Sunday, how much more did the convenience store make from Fizzy Fun sales than from Kickin' Coffee sales?

Answer: 6

Beverage | Saturday | Sunday
Kickin' Coffee | $9 | $3
Olde Tyme Cola | $7 | $19
Fizzy Fun | $2 | $9

Solution:
Find the Sunday column. Find the numbers in this column for Fizzy Fun and Kickin' Coffee.

Fizzy Fun: $9.00
Kickin' Coffee: $3.00

Now subtract:

$9.00 − $3.00 = $6.00

On Sunday, the convenience store made $6 more from Fizzy Fun sales than from Kickin' Coffee sales.


Question: Some friends compared the sizes of their sticker collections. Who has the fewest stickers?

Choices:
- Tina
- Emma
- Robert
- Jamie

Answer: Robert

Name | Number of stickers
Tina | 778
Emma | 796
Robert | 767
Jamie | 769

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 767.

Now find the corresponding name. Robert corresponds to 767.


Question: Look at the following schedule. When does the dance performance begin?

Choices:
- 2:50 P.M.
- 3:10 P.M.
- 10:15 A.M.
- 12:55 P.M.

Answer: 10:15 A.M.

Event | Begin | End
dance performance | 10:15 A.M. | 12:45 P.M.
choir concert | 12:55 P.M. | 2:40 P.M.
drumming performance | 2:50 P.M. | 3:50 P.M.
award ceremony | 3:10 P.M. | 4:30 P.M.
keynote speech | 4:20 P.M. | 6:00 P.M.

dance performance
choir concert
drumming performance
award ceremony
keynote speech

Solution:
Find the dance performance on the schedule. Find the beginning time for the dance performance.

dance performance: 10:15 A. M.


Question: Florence has $12,625. How much money will Florence have left if she buys an Andalusian horse and an Appaloosa horse?

Answer: 2,543

Andalusian horse | $7,880
Morgan horse | $5,351
Arabian horse | $1,403
Hanoverian horse | $6,753
Appaloosa horse | $2,202

Andalusian horse
Morgan horse
Arabian horse
Hanoverian horse
Appaloosa horse

Solution:
Find the total cost of an Andalusian horse and an Appaloosa horse.

$7,880 + $2,202 = $10,082

Now subtract the total cost from the starting amount.

$12,625 - $10,082 = $2,543

Florence will have $2,543 left.


Question: Some friends played miniature golf and wrote down their scores. What is the median of the numbers?

Answer: 32

Name | Score
Omar | 29
Lester | 30
Gordon | 26
Isabelle | 32
Darnell | 34
Steven | 33
Travis | 35

Omar Lester Gordon Isabelle Darnell Steven Travis

Solution:
Read the numbers from the table.

29, 30, 26, 32, 34, 33, 35

First, arrange the numbers from least to greatest:

26, 29, 30, 32, 33, 34, 35

Now find the number in the middle.

26, 29, 30, 32, 33, 34, 35

The number in the middle is 32.

The median is 32.


Question: Annie figured out the scores at the end of a card game. How many people scored more than 5?

Answer: 27

Solution:
Find the rows for 6, 7, 8, 9, and 10. Add the frequencies for these rows.

Add:

10 + 0 + 8 + 2 + 7 = 27

27 people scored more than 5.


Question: A customer at a sushi restaurant was examining the types of sushi rolls offered on the menu. Rolls vary by type of fish and level of spiciness. Rolls only contain one type of fish. What is the probability that a randomly selected sushi roll is labeled a little spicy and contains salmon? Simplify any fractions.

Answer: 5/19

 | Yellowtail | Salmon
Not spicy | 5 | 3
A little spicy | 6 | 5

Solution:
Let A be the event "the sushi roll is labeled a little spicy" and B be the event "the sushi roll contains salmon".
To find the probability that a sushi roll is labeled a little spicy and contains salmon, first identify the sample space and the event.
The outcomes in the sample space are the different sushi rolls. Each sushi roll is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the sushi roll is labeled a little spicy and contains salmon".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the sushi roll is labeled a little spicy and contains salmon", so look at the table to see how many sushi rolls are labeled a little spicy and contain salmon.
The number of sushi rolls that are labeled a little spicy and contain salmon is 5.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of sushi rolls.
5 + 6 + 3 + 5 = 19

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{5}{19}
The probability that a sushi roll is labeled a little spicy and contains salmon is \frac{5}{19}.


Question: The table shows a function. Is the function linear or nonlinear?

Choices:
- linear
- nonlinear

Answer: nonlinear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{9 - 16}{12 - 11}
 = \frac{-7}{1}
 = -7
Now pick any other two rows and calculate the rate of change between them.
Call the values in the first row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{1 - 16}{13 - 11}
 = \frac{-15}{2}
 = -7\frac{1}{2}
The rate of change is not the same for each pair of points. So, the function does not have a constant rate of change.
The function is nonlinear.


Question: Emilia has $40.50. Does she have enough to buy a pair of brown pants and a red sweater?

Choices:
- yes
- no

Answer: yes

yellow skirt | $10.76
pair of brown pants | $13.56
green dress | $11.44
red sweater | $26.64

yellow skirt
pair of brown pants
green dress
red sweater

Solution:
Add the price of a pair of brown pants and the price of a red sweater:

$13.56 + $26.64 = $40.20

$40.20 is less than $40.50. Emilia does have enough money.


Question: How much more does an emerald pendant cost than a ruby bracelet?

Answer: 1,680

jade bracelet | $7,637
ruby bracelet | $1,178
diamond ring | $4,767
topaz pendant | $9,454
emerald pendant | $2,858

jade bracelet
ruby bracelet
diamond ring
topaz pendant
emerald pendant

Solution:
Subtract the price of a ruby bracelet from the price of an emerald pendant.

$2,858 - $1,178 = $1,680

An emerald pendant costs $1,680 more than a ruby bracelet.


Question: Valeria has $52.00. Does she have enough to buy a teapot and a cookbook?

Choices:
- yes
- no

Answer: yes

teapot | $38.09
set of forks | $18.08
cookbook | $13.24
soup pot | $50.93

Solution:
Add the price of a teapot and the price of a cookbook:

$38.09 + $13.24 = $51.33

$51.33 is less than $52.00. Valeria does have enough money.


Question: Look at the table. Then answer the question. At a price of $1,280, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $1,280, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.


Question: A vendor who sold bread at farmers' markets counted the number of leftover loaves at the end of each day. According to the table, what was the rate of change between Thursday and Friday?

Answer: -32

Day | Leftover loaves
Tuesday | 16
Wednesday | 8
Thursday | 38
Friday | 6
Saturday | 3

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{6 loaves - 38 loaves}{1 day}
 = \frac{-32 loaves}{1 day}
 = -32 loaves per day
The rate of change between Thursday and Friday was - 32 loaves per day.


Question: To get credit for meeting his school's community service requirement, Kendrick kept a volunteering log. What is the mean of the numbers?

Answer: 6

Day | Hours
Saturday | 10
Sunday | 3
Monday | 5
Tuesday | 4
Wednesday | 10
Thursday | 5
Friday | 5

Saturday Sunday Monday Tuesday Wednesday Thursday Friday

Solution:
Read the numbers from the table.

10, 3, 5, 4, 10, 5, 5

First, count how many numbers are in the group.

There are 7 numbers.

Now add all the numbers together:

10 + 3 + 5 + 4 + 10 + 5 + 5 = 42

Now divide the sum by the number of numbers:

42 ÷ 7 = 6

The mean is 6.


Question: Johnny, a park ranger, recorded the number of each type of tree in the Boone County Park District. How many more trees are there in Walt Park than Glen Park?

Answer: 11

Park | Cherry trees | Oak trees
Ross Park | 10 | 1
Walt Park | 20 | 7
Goose Park | 6 | 7
Glen Park | 14 | 2

Ross Park
Walt Park
Goose Park
Glen Park

Solution:
Add the numbers in the Walt Park row. Then, add the numbers in the Glen Park row.

Walt Park: 20 + 7 = 27
Glen Park: 14 + 2 = 16

Now subtract:

27 − 16 = 11

There are 11 more trees in Walt Park than Glen Park.


Question: How much money does Jacob need to buy a gold tack and a red thumbtack?

Answer: 0.10

elastic band | $0.08
brass clip | $0.09
four-inch nail | $0.05
red thumbtack | $0.09
small metal hook | $0.02
gold tack | $0.01

elastic band
brass clip
four-inch nail
red thumbtack
small metal hook
gold tack

Solution:
Add the price of a gold tack and the price of a red thumbtack:

$0.01 + $0.09 = $0.10

Jacob needs $0.10.


Question: How much money does Maggie need to buy 9 red thumbtacks?

Answer: 1.35

red thumbtack | $0.15
elastic band | $0.64
gold tack | $0.19
piece of plastic pipe | $0.53
flat-head bolt | $0.44

red thumbtack
elastic band
gold tack
piece of plastic pipe
flat-head bolt

Solution:
Find the total cost of 9 red thumbtacks by multiplying 9 times the price of a red thumbtack.

$0.15 × 9 = $1.35

Maggie needs $1.35.


Question: Rose has $6. Does she have enough to buy a wrench and a bucket?

Choices:
- yes
- no

Answer: no

mop | $3
wrench | $5
broom | $8
watering can | $5
bucket | $3

Solution:
Add the price of a wrench and the price of a bucket:

$5 + $3 = $8

$8 is more than $6. Rose does not have enough money.


Question: Jim, a doctor's office receptionist, tracked the average waiting time at the office each month. According to the table, what was the rate of change between June and July?

Answer: 8

Average waiting time at a doctor's office

Month | Waiting time (minutes)
March | 25
April | 24
May | 28
June | 22
July | 30

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{30 minutes - 22 minutes}{1 month}
 = \frac{8 minutes}{1 month}
 = 8 minutes per month
The rate of change between June and July was 8 minutes per month.


Question: Use the data to answer the question below. Is the following statement about our solar system true or false? Earth is the largest planet that is made mainly of rock.

Choices:
- true
- false

Answer: true

Mercury | 6.08 x | 1010 rock
Venus | 9.28 x | 1011 rock
Earth | 1.08 x | 1012 rock
Mars | 1.63 x | 1011 rock
Jupiter | 1.43 x | 1015 gas
Saturn | 8.27 x | 1014 gas
Uranus | 6.83 x | 1013 ice
Neptune | 6.25 x | 1013 ice

Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune

Solution: The table tells you that Mercury, Venus, Earth, and Mars are the planets made mainly of rock. Of these planets, Earth has the volume with the largest exponent. So, Earth is the largest planet that is made mainly of rock.


Question: How much more does a book about South America cost than a book about hiking?

Answer: 1.59

book about South America | $3.43
book about the Olympics | $2.92
book about soccer | $6.06
book about Antarctica | $7.88
book about trains | $4.54
book about hiking | $1.84

book about South America
book about the Olympics
book about soccer
book about Antarctica
book about trains
book about hiking

Solution:
Subtract the price of a book about hiking from the price of a book about South America.

$3.43 - $1.84 = $1.59

A book about South America costs $1.59 more than a book about hiking.


Question: A Technical Assistance Manager monitored his customers' wait times. How many people waited for at least 45 minutes but less than 50 minutes?

Answer: 3

Technical assistance wait times (minutes)

Solution:
Find the row with stem 4. Count all the leaves greater than or equal to 5.

You counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 people waited for at least 45 minutes but less than 50 minutes.


Question: Martina is shopping for a new bicycle. She is most interested in color and type of tires. What is the probability that a randomly selected bike is red and has mountain bike tires? Simplify any fractions.

Answer: 7/19

 | Road bike tires | Mountain bike tires
Red | 4 | 7
Green | 5 | 3

Solution:
Let A be the event "the bike is red" and B be the event "the bike has mountain bike tires".
To find the probability that a bike is red and has mountain bike tires, first identify the sample space and the event.
The outcomes in the sample space are the different bikes. Each bike is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the bike is red and has mountain bike tires".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the bike is red and has mountain bike tires", so look at the table to see how many bikes are a red and have mountain bike tires.
The number of bikes that are a red and have mountain bike tires is 7.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of bikes.
4 + 5 + 7 + 3 = 19

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{7}{19}
The probability that a bike is red and has mountain bike tires is \frac{7}{19}.


Question: How much more does a crossword puzzle book cost than a spelling workbook?

Answer: 3

poetry book | $24.00
crossword puzzle book | $23.00
spelling workbook | $20.00
picture book | $22.00

poetry book
crossword puzzle book
spelling workbook
picture book

Solution:
Subtract the price of a spelling workbook from the price of a crossword puzzle book.

$23.00 - $20.00 = $3.00

A crossword puzzle book costs $3.00 more than a spelling workbook.


Question: A newspaper researched how many grocery stores there are in each town. What is the median of the numbers?

Answer: 4

Town | Number of stores
Richmond | 2
Watertown | 5
Ashland | 3
Chesterton | 4
Springfield | 4
Greenwood | 5
Mayfield | 3

Richmond Watertown Ashland Chesterton Springfield Greenwood Mayfield

Solution:
Read the numbers from the table.

2, 5, 3, 4, 4, 5, 3

First, arrange the numbers from least to greatest:

2, 3, 3, 4, 4, 5, 5

Now find the number in the middle.

2, 3, 3, 4, 4, 5, 5

The number in the middle is 4.

The median is 4.


Question: A reporter looked through her notebook to remember how many people she had interviewed in the past 7 days. What is the range of the numbers?

Answer: 4

Day | Number of people
Friday | 5
Saturday | 7
Sunday | 5
Monday | 9
Tuesday | 8
Wednesday | 9
Thursday | 9

Friday Saturday Sunday Monday Tuesday Wednesday Thursday

Solution:
Read the numbers from the table.

5, 7, 5, 9, 8, 9, 9

First, find the greatest number. The greatest number is 9.

Next, find the least number. The least number is 5.

Subtract the least number from the greatest number:

9 − 5 = 4

The range is 4.


Question: Audrey purchased 2 kilograms of garbanzo beans. What was the total cost?

Answer: 2

kidney beans | $0.60/kilogram
garbanzo beans | $1.00/kilogram
soybeans | $0.65/kilogram
mung beans | $0.51/kilogram

kidney beans
garbanzo beans
soybeans
mung beans

Solution:
Find the cost of the garbanzo beans. Multiply the price per kilogram by the number of kilograms.

$1 × 2 = $2

The total cost was $2.


Question: Look at the following schedule. Which activity ends at 12.05 P.M.?

Choices:
- badminton
- fitness class
- floor hockey
- indoor soccer

Answer: fitness class

Activity | Begin | End
gymnastics | 7:50 A.M. | 8:20 A.M.
line dancing | 8:25 A.M. | 9:30 A.M.
yoga | 9:35 A.M. | 10:50 A.M.
fitness class | 11:00 A.M. | 12:05 P.M.
floor hockey | 12:20 P.M. | 1:10 P.M.
badminton | 1:15 P.M. | 2:35 P.M.
indoor soccer | 2:45 P.M. | 4:00 P.M.

gymnastics
line dancing
yoga
fitness class
floor hockey
badminton
indoor soccer

Solution: Find 12:05 P. M. on the schedule. Fitness class ends at 12:05 P. M.


Question: Deb has $1.66. Does she have enough to buy a pickle and an ice cream cone?

Choices:
- yes
- no

Answer: yes

bag of peanuts | $0.79
ice cream cone | $0.95
bag of pretzels | $0.96
glass of lemonade | $0.51
pickle | $0.67
cup of coffee | $0.77

bag of peanuts
ice cream cone
bag of pretzels
glass of lemonade
pickle
cup of coffee

Solution:
Add the price of a pickle and the price of an ice cream cone:

$0.67 + $0.95 = $1.62

$1.62 is less than $1.66. Deb does have enough money.


Question: Each apartment has 10 doors. How many doors are in 3 apartments?

Answer: 30

Number of apartments | Number of doors
1 | 10
2 | 20
3 | ?

Solution: Count by tens. Use the chart: there are 30 doors in 3 apartments.


Question: The players on a quiz show received the following scores. Who had the lowest score?

Choices:
- Colette
- Vijay
- Keenan
- Stefan

Answer: Colette

Name | Score
Colette | 81
Vijay | 89
Keenan | 88
Stefan | 82

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 81.

Now find the corresponding name. Colette corresponds to 81.


Question: Fans of the Westminster baseball team compared the number of games won by their team each year. According to the table, what was the rate of change between 2016 and 2017?

Answer: 9

Games won by the Westminster baseball team

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{42 games - 33 games}{2017 - 2016}
 = \frac{42 games - 33 games}{1 year}
 = \frac{9 games}{1 year}
 = 9 games per year
The rate of change between 2016 and 2017 was 9 games per year.


Question: Maddie wrote down how many pages she read over the past 4 days. On which day did Maddie read the fewest pages?

Choices:
- Friday
- Saturday
- Sunday
- Monday

Answer: Friday

Day | Number of pages
Friday | 118
Saturday | 138
Sunday | 131
Monday | 189

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 118.

Now find the corresponding day. Friday corresponds to 118.


Question: How much money does Nolan need to buy a piece of green slate and a piece of copper?

Answer: 0.14

piece of rose quartz | $0.07
piece of copper | $0.05
quartz crystal | $0.03
piece of black mica | $0.09
piece of black obsidian | $0.06
piece of green slate | $0.09

piece of rose quartz
piece of copper
quartz crystal
piece of black mica
piece of black obsidian
piece of green slate

Solution:
Add the price of a piece of green slate and the price of a piece of copper:

$0.09 + $0.05 = $0.14

Nolan needs $0.14.


Question: For an economics project, Kate determined the cost of ferry rides for bicycles and cars. Of the ferries shown, which charges the least for a bicycle?

Choices:
- Seattle-Bremerton
- Ocracoke
- Southport-Fort Fisher
- Fauntleroy-Vashon

Answer: Southport-Fort Fisher

Ferry | Bicycle | Car
Seattle-Bremerton | $8 | $12
Southport-Fort Fisher | $2 | $5
Fauntleroy-Vashon | $5 | $15
Mukilteu-Clinton | $5 | $7
Ocracoke | $3 | $15

Seattle-Bremerton
Southport-Fort Fisher
Fauntleroy-Vashon
Mukilteu-Clinton
Ocracoke

Solution:
Look at the numbers in the Bicycle column. Find the least number in this column.

The least number is $2.00, which is in the Southport-Fort Fisher row. The Southport-Fort Fisher ferry charges the least for a bicycle.


Question: Gardeners at the Henderson estate counted the number of flowers growing there. How many orange flowers are in the garden?

Answer: 6

Color | Roses | Daisies
Pink | 16 | 9
Orange | 3 | 3
White | 6 | 5
Yellow | 1 | 7

Solution:
Find the row for orange. Add the numbers in the Orange row.

Add:

3 + 3 = 6

There are 6 orange flowers in the garden.


Question: An administrator at the Department of Motor Vehicles (DMV) tracked the average wait time from month to month. According to the table, what was the rate of change between June and July?

Answer: -7

Month | Waiting time (minutes)
March | 29
April | 33
May | 33
June | 36
July | 29

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{29 minutes - 36 minutes}{1 month}
 = \frac{-7 minutes}{1 month}
 = -7 minutes per month
The rate of change between June and July was - 7 minutes per month.


Question: Each bunch has 5 balloons. How many balloons are in 5 bunches?

Answer: 25

Number of bunches | Number of balloons
1 | 5
2 | 10
3 | 15
4 | 20
5 | ?

Solution: Count by fives. Use the chart: there are 25 balloons in 5 bunches.


Question: How much money does Jake need to buy eggplant parmesan and a grilled steak?

Answer: 32.50

grilled eggplant | $10.38
eggplant parmesan | $16.73
cheese pizza | $11.68
grilled steak | $15.77
ravioli | $11.09

grilled eggplant
eggplant parmesan
cheese pizza
grilled steak
ravioli

Solution:
Add the price of eggplant parmesan and the price of a grilled steak:

$16.73 + $15.77 = $32.50

Jake needs $32.50.


Question: The train conductor made sure to count the number of passengers on each train. How many trains had at least 50 passengers but fewer than 90 passengers?

Answer: 10

Solution:
Count all the leaves in the rows with stems 5, 6, 7, and 8.

You counted 10 leaves, which are blue in the stem-and-leaf plot above. 10 trains had at least 50 passengers but fewer than 90 passengers.


Question: The architecture student counted the number of bricks in each building in her neighborhood. How many buildings have at least 13 bricks but fewer than 72 bricks?

Answer: 4

Solution:
Find the row with stem 1. Count all the leaves greater than or equal to 3.

Count all the leaves in the rows with stems 2, 3, 4, 5, and 6.

In the row with stem 7, count all the leaves less than 2.

You counted 4 leaves, which are blue in the stem-and-leaf plots above. 4 buildings have at least 13 bricks but fewer than 72 bricks.


Question: Eve likes watching the show Engineering Marvels. In last night's episode, the engineering team visited a tall skyscraper and a deep mine. A banner at the bottom of the screen showed the elevation of each location the team visited. Which location is closer to sea level?

Choices:
- top of the skyscraper
- bottom of the mine

Answer: bottom of the mine

Location | Elevation (m)
Top of the skyscraper | 275
Bottom of the mine | -260

Top of the skyscraper
Bottom of the mine

Solution:
The top of the skyscraper has a positive elevation, so it is above sea level. The bottom of the mine has a negative elevation, so it is below sea level.
To find the location closer to sea level, use absolute value. Absolute value tells you how far each location is from sea level.
Top of the skyscraper: |275| = 275
Bottom of the mine: |-260| = 260
The top of the skyscraper is 275 meters above sea level, but the bottom of the mine is only260 meters below sea level. The bottom of the mine is closer to sea level.


Question: The Rockport Ski Resort asked its guests how many times they went sledding last winter. How many guests went sledding fewer than 2 times?

Answer: 18

Number of times | Frequency
0 | 13
1 | 5
2 | 18
3 | 4

Solution:
Find the rows for 0 and 1 time. Add the frequencies for these rows.

Add:

13 + 5 = 18

18 guests went sledding fewer than 2 times.


Question: A farmer wrote down how many kilograms of cherries were sold in the past 5 days. What is the mode of the numbers?

Answer: 8

Day | Kilograms
Sunday | 8
Monday | 10
Tuesday | 8
Wednesday | 10
Thursday | 8

Sunday Monday Tuesday Wednesday Thursday

Solution:
Read the numbers from the table.

8, 10, 8, 10, 8

First, arrange the numbers from least to greatest:

8, 8, 8, 10, 10

Now count how many times each number appears.

8 appears 3 times.
10 appears 2 times.

The number that appears most often is 8.

The mode is 8.


Question: How much more does a Caribbean vacation package cost than a Jamaican vacation package?

Answer: 2,597

African safari vacation package | $3,174
Jamaican vacation package | $4,060
Hawaiian vacation package | $2,228
Caribbean vacation package | $6,657
European vacation package | $6,856

African safari vacation package
Jamaican vacation package
Hawaiian vacation package
Caribbean vacation package
European vacation package

Solution:
Subtract the price of a Jamaican vacation package from the price of a Caribbean vacation package.

$6,657 - $4,060 = $2,597

A Caribbean vacation package costs $2,597 more than a Jamaican vacation package.


Question: How much money does Jenna need to buy a lamp and a crystal vase?

Answer: 166.14

oil painting | $95.07
rug | $24.82
crystal vase | $91.93
lamp | $74.21
ceramic vase | $87.53
chandelier | $52.99

oil painting
rug
crystal vase
lamp
ceramic vase
chandelier

Solution:
Add the price of a lamp and the price of a crystal vase:

$74.21 + $91.93 = $166.14

Jenna needs $166.14.


Question: Some students compared how many pets they have. What is the mean of the numbers?

Answer: 5

Name | Number of pets
Rob | 2
Zane | 5
Kiera | 1
Colette | 1
Ellie | 10
Dirk | 9
Gabe | 7

Solution:
Read the numbers from the table.

2, 5, 1, 1, 10, 9, 7

First, count how many numbers are in the group.

There are 7 numbers.

Now add all the numbers together:

2 + 5 + 1 + 1 + 10 + 9 + 7 = 35

Now divide the sum by the number of numbers:

35 ÷ 7 = 5

The mean is 5.


Question: A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2013 and 2014?

Answer: 6

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{37 kilograms - 31 kilograms}{2014 - 2013}
 = \frac{37 kilograms - 31 kilograms}{1 year}
 = \frac{6 kilograms}{1 year}
 = 6 kilograms per year
The rate of change between 2013 and 2014 was 6 kilograms per year.


Question: The school district compared how many math teachers each high school has. What is the mean of the numbers?

Answer: 8

High school | Number of math teachers
Hillview High | 8
Green High | 6
Thompson High | 10
Westside High | 7
Central High | 9
Northside High | 9
Lincoln High | 7

Hillview High
Green High
Thompson High
Westside High
Central High
Northside High
Lincoln High

Solution:
Read the numbers from the table.

8, 6, 10, 7, 9, 9, 7

First, count how many numbers are in the group.

There are 7 numbers.

Now add all the numbers together:

8 + 6 + 10 + 7 + 9 + 9 + 7 = 56

Now divide the sum by the number of numbers:

56 ÷ 7 = 8

The mean is 8.


Question: Quincy's classmates revealed how many science articles they read. What is the mode of the numbers?

Answer: 9

Name | Number of science articles
Quincy | 9
Carly | 4
Kinsley | 9
Alexandra | 9
Duncan | 7
Terrell | 7
Russell | 10
Shawn | 10

Quincy Carly Kinsley Alexandra Duncan Terrell Russell Shawn

Solution:
Read the numbers from the table.

9, 4, 9, 9, 7, 7, 10, 10

First, arrange the numbers from least to greatest:

4, 7, 7, 9, 9, 9, 10, 10

Now count how many times each number appears.

4 appears 1 time.
7 appears 2 times.
9 appears 3 times.
10 appears 2 times.

The number that appears most often is 9.

The mode is 9.


Question: Wendy has $27. Does she have enough to buy a beach blanket and a pillow?

Choices:
- yes
- no

Answer: yes

flannel sheet | $13
quilt | $24
beach towel | $11
pillow | $14
beach blanket | $11

flannel sheet
quilt
beach towel
pillow
beach blanket

Solution:
Add the price of a beach blanket and the price of a pillow:

$11 + $14 = $25

$25 is less than $27. Wendy does have enough money.


Question: Ruth's Candies has been studying how much chocolate people have been eating in different countries. Which country consumed less chocolate per capita in 2005, Austria or Germany?

Choices:
- Austria
- Germany

Answer: Austria

Country | 2002 | 2005
Norway | 8 | 9
Denmark | 9 | 8
Austria | 8 | 9
Germany | 10 | 11

Solution:
Find the 2005 column. Compare the numbers in this column for Austria and Germany.

9 is less than 11. Austria consumed less chocolate per capita in 2005.


Question: Hannah has $179.00. How much money will Hannah have left if she buys a scorpion and a chinchilla?

Answer: 55

king snake | $97.00
pot-bellied pig | $51.00
tarantula | $35.00
chinchilla | $57.00
cockatoo | $11.00
scorpion | $67.00

king snake
pot-bellied pig
tarantula
chinchilla
cockatoo
scorpion

Solution:
Find the total cost of a scorpion and a chinchilla.

$67.00 + $57.00 = $124.00

Now subtract the total cost from the starting amount.

$179.00 - $124.00 = $55.00

Hannah will have $55.00 left.


Question: A volunteer for the local running club counted the number of participants at each race. How many races had at least 41 participants?

Answer: 7

Solution:
Find the row with stem 4. Count all the leaves greater than or equal to 1.

Count all the leaves in the rows with stems 5, 6, and 7.

You counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 races had at least 41 participants.


Question: A volunteer for the local running club counted the number of participants at each race. How many races had at least 50 participants but fewer than 80 participants?

Answer: 5

Solution:
Count all the leaves in the rows with stems 5, 6, and 7.

You counted 5 leaves, which are blue in the stem-and-leaf plot above. 5 races had at least 50 participants but fewer than 80 participants.


Question: A customer at a sushi restaurant was examining the types of sushi rolls offered on the menu. Rolls vary by type of fish and level of spiciness. Rolls only contain one type of fish. What is the probability that a randomly selected sushi roll contains salmon and is labeled not spicy? Simplify any fractions.

Answer: 4/11

 | Not spicy | A little spicy
Yellowtail | 1 | 3
Salmon | 4 | 3

Solution:
Let A be the event "the sushi roll contains salmon" and B be the event "the sushi roll is labeled not spicy".
To find the probability that a sushi roll contains salmon and is labeled not spicy, first identify the sample space and the event.
The outcomes in the sample space are the different sushi rolls. Each sushi roll is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the sushi roll contains salmon and is labeled not spicy".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the sushi roll contains salmon and is labeled not spicy", so look at the table to see how many sushi rolls contain salmon and are labeled not spicy.
The number of sushi rolls that contain salmon and are labeled not spicy is 4.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of sushi rolls.
1 + 4 + 3 + 3 = 11

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{4}{11}
The probability that a sushi roll contains salmon and is labeled not spicy is \frac{4}{11}.


Question: A technical support line tracked how many calls it received each day. How many calls total did the support line receive on Tuesday and Thursday?

Answer: 5,685

Day | Number of calls
Monday | 4,560
Tuesday | 4,279
Wednesday | 2,988
Thursday | 1,406
Friday | 1,192

Monday Tuesday Wednesday Thursday Friday

Solution:
Find the numbers in the table.

Tuesday: 4,279
Thursday: 1,406

Now add: 4,279 + 1,406 = 5,685.

The support line received 5,685 calls on Tuesday and Thursday.


Question: A beauty salon in Richmond has five beauticians and keeps track of how often clients request each one specifically. What fraction of requests were for Shelley? Simplify your answer.

Answer: 7/41

Beautician | Requests
Shelley | 560
Lexi | 600
Elise | 630
Kamal | 860
Joe | 630

Solution:
Find how many clients requested Shelley.

560

Find how many requests were made in total.

560 + 600 + 630 + 860 + 630 = 3,280

Divide 560 by 3,280.

\frac{560}{3,280}

Reduce the fraction.

\frac{560}{3,280} → \frac{7}{41}

\frac{7}{41} of clients requested Shelley.


Question: A furniture store kept a record of how many couches it sold each day. What is the range of the numbers?

Answer: 10

Day | Number of couches
Wednesday | 8
Thursday | 14
Friday | 11
Saturday | 4
Sunday | 5

Solution:
Read the numbers from the table.

8, 14, 11, 4, 5

First, find the greatest number. The greatest number is 14.

Next, find the least number. The least number is 4.

Subtract the least number from the greatest number:

14 − 4 = 10

The range is 10.


Question: Jackson, a fitness counselor, counted the number of pull-ups completed by each bootcamp participant. How many participants did exactly 1 pull-up?

Answer: 6

Number of pull-ups | Frequency
0 | 0
1 | 6
2 | 4
3 | 2

Solution:
Find the row for 1 pull-up and read the frequency. The frequency is 6.

6 participants did exactly1 pull-up.


Question: A Girl Scout troop recorded how many boxes of cookies they sold each day for a week. According to the table, what was the rate of change between Wednesday and Thursday?

Answer: -1

Day | Boxes of cookies
Sunday | 42
Monday | 34
Tuesday | 31
Wednesday | 32
Thursday | 31

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{31 boxes - 32 boxes}{1 day}
 = \frac{-1 boxes}{1 day}
 = -1 boxes per day
The rate of change between Wednesday and Thursday was - 1 boxes per day.


Question: Kendra spent a week at the beach and recorded the number of shells she found each day. According to the table, what was the rate of change between Wednesday and Thursday?

Answer: 3

Day | Number of shells
Tuesday | 6
Wednesday | 3
Thursday | 6
Friday | 2
Saturday | 0

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{6 shells - 3 shells}{1 day}
 = \frac{3 shells}{1 day}
 = 3 shells per day
The rate of change between Wednesday and Thursday was 3 shells per day.


Question: In hopes of raising more funds for arts education, some parents in the Salem School District publicized the current per-student arts education budget. According to the table, what was the rate of change between 2008 and 2009?

Answer: 8

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{$29 - $21}{2009 - 2008}
 = \frac{$29 - $21}{1 year}
 = \frac{$8}{1 year}
 = $8 per year
The rate of change between 2008 and 2009 was $8 per year.


Question: Gabby owns four dogs and monitors how much food they eat in a month. What fraction of the food was eaten by Pepper? Simplify your answer.

Answer: 22/81

Dog | Kilograms of food
Lucky | 50
Pepper | 44
Taffy | 28
Sparky | 40

Solution:
Find how many kilograms of food were eaten by Pepper.

44

Find how many kilograms of food the dogs ate in total.

50 + 44 + 28 + 40 = 162

Divide 44 by162.

\frac{44}{162}

Reduce the fraction.

\frac{44}{162} → \frac{22}{81}

\frac{22}{81} of kilograms of food were eaten by Pepper.


Question: Each year the Lancaster School District publishes its annual budget, which includes information on the sports program's per-student spending. According to the table, what was the rate of change between 2016 and 2017?

Answer: 5

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{$50 - $45}{2017 - 2016}
 = \frac{$50 - $45}{1 year}
 = \frac{$5}{1 year}
 = $5 per year
The rate of change between 2016 and 2017 was $5 per year.


Question: A bus driver paid attention to how many passengers his bus had each day. What is the median of the numbers?

Answer: 65

Day | Number of people
Sunday | 68
Monday | 63
Tuesday | 83
Wednesday | 65
Thursday | 77
Friday | 63
Saturday | 64

Sunday Monday Tuesday Wednesday Thursday Friday Saturday

Solution:
Read the numbers from the table.

68, 63, 83, 65, 77, 63, 64

First, arrange the numbers from least to greatest:

63, 63, 64, 65, 68, 77, 83

Now find the number in the middle.

63, 63, 64, 65, 68, 77, 83

The number in the middle is 65.

The median is 65.


Question: How much money does Dan need to buy a grape lollipop and a caramel?

Answer: 0.53

gumball | $0.11
peanut butter cup | $0.15
caramel | $0.13
grape lollipop | $0.40

gumball
peanut butter cup
caramel
grape lollipop

Solution:
Add the price of a grape lollipop and the price of a caramel:

$0.40 + $0.13 = $0.53

Dan needs $0.53.


Question: A food magazine published a listing of local restaurant ratings. What is the highest rating?

Answer: 50

Solution:
Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 5.

Now find the highest leaf in the last row. The highest leaf is 0.

The highest rating has a stem of 5 and a leaf of 0. Write the stem first, then the leaf: 50.

The highest rating is 50 points.


Question: How much more does a spool of thread cost than a tube of paste?

Answer: 0.20

spool of metallic cord | $0.62
fake red rose | $0.77
tube of paste | $0.54
spool of gold wire | $0.18
spool of thread | $0.74

spool of metallic cord
fake red rose
tube of paste
spool of gold wire
spool of thread

Solution:
Subtract the price of a tube of paste from the price of a spool of thread.

$0.74 - $0.54 = $0.20

A spool of thread costs $0.20 more than a tube of paste.


Question: A toy store employee counted the number of toys in each bin in the sale section. How many bins had exactly 43 toys?

Answer: 4

Solution:
For the number 43, the stem is 4, and the leaf is 3. Find the row where the stem is 4. In that row, count all the leaves equal to 3.

You counted 4 leaves, which are blue in the stem-and-leaf plot above. 4 bins had exactly 43 toys.


Question: The manager of a party supply store researched how many balloons it sold in the past 4 days. How many balloons in total did the store sell on Monday and Tuesday?

Answer: 335

Day | Number of balloons
Sunday | 564
Monday | 193
Tuesday | 142
Wednesday | 251

Solution:
Find the numbers in the table.

Monday: 193
Tuesday: 142

Now add: 193 + 142 = 335.

The store sold 335 balloons on Monday and Tuesday.


Question: How much money does Finn need to buy 2 bottles of mustard?

Answer: 1.60

bottle of ketchup | $0.78
bottle of hot sauce | $0.90
bottle of mustard | $0.80
bottle of soy sauce | $0.85
jar of tomato sauce | $0.63
jar of salsa | $0.96

bottle of ketchup
bottle of hot sauce
bottle of mustard
bottle of soy sauce
jar of tomato sauce
jar of salsa

Solution:
Find the total cost of 2 bottles of mustard by multiplying 2 times the price of a bottle of mustard.

$0.80 × 2 = $1.60

Finn needs $1.60.


Question: If Isaiah buys 1 kilogram of romaine lettuce, how much will he spend?

Answer: 0.46

romaine lettuce | $0.46/kilogram
summer crisp lettuce | $1.38/kilogram
Chinese lettuce | $1.19/kilogram
butterhead lettuce | $0.40/kilogram

romaine lettuce
summer crisp lettuce
Chinese lettuce
butterhead lettuce

Solution:
Find the cost of the romaine lettuce. Multiply the price per kilogram by the number of kilograms.

$0.46 × 1 = $0.46

He will spend $0.46.


Question: Some friends played a trivia game and recorded their scores. What is the mode of the numbers?

Answer: 7

Name | Score
Xavier | 2
Natalie | 4
Brendan | 7
Dalton | 2
Hazel | 7
Victor | 7
Winston | 4
Lillian | 7

Xavier Natalie Brendan Dalton Hazel Victor Winston Lillian

Solution:
Read the numbers from the table.

2, 4, 7, 2, 7, 7, 4, 7

First, arrange the numbers from least to greatest:

2, 2, 4, 4, 7, 7, 7, 7

Now count how many times each number appears.

2 appears 2 times.
4 appears 2 times.
7 appears 4 times.

The number that appears most often is 7.

The mode is 7.


Question: Molly, a fitness counselor, counted the number of pull-ups completed by each bootcamp participant. How many participants did more than 1 pull-up?

Answer: 18

Number of pull-ups | Frequency
0 | 18
1 | 7
2 | 5
3 | 13

Solution:
Find the rows for 2 and 3 pull-ups. Add the frequencies for these rows.

Add:

5 + 13 = 18

18 participants did more than 1 pull-up.


Question: How much money does Jasmine need to buy a wooden block, a shapes stencil, and a green bouncy ball?

Answer: 0.14

shapes stencil | $0.07
wooden block | $0.01
red kazoo | $0.03
green bouncy ball | $0.06

shapes stencil
wooden block
red kazoo
green bouncy ball

Solution:
Find the total cost of a wooden block, a shapes stencil, and a green bouncy ball.

$0.01 + $0.07 + $0.06 = $0.14

Jasmine needs $0.14.


Question: How much money does Polly need to buy a piece of elegant stationery and a piece of polka-dotted paper?

Answer: 0.20

piece of pink paper | $0.55
sheet of green paper | $0.43
piece of floral stationery | $0.42
piece of polka-dotted paper | $0.10
sheet of shiny silver paper | $0.78
piece of elegant stationery | $0.10

piece of pink paper
sheet of green paper
piece of floral stationery
piece of polka-dotted paper
sheet of shiny silver paper
piece of elegant stationery

Solution:
Add the price of a piece of elegant stationery and the price of a piece of polka-dotted paper:

$0.10 + $0.10 = $0.20

Polly needs $0.20.


Question: A food magazine published a listing of local restaurant ratings. What is the highest rating?

Answer: 50


Question: A cable company analyst paid attention to how many new customers it had each day. On which day did the cable company have the fewest new customers?

Choices:
- Wednesday
- Thursday
- Friday
- Saturday

Answer: Thursday

Day | Number of new customers
Wednesday | 131
Thursday | 114
Friday | 141
Saturday | 134

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 114.

Now find the corresponding day. Thursday corresponds to 114.


Question: Look at this table. Is this relation a function?

Choices:
- yes
- no

Answer: yes

Solution:
Look at the x-values in the table.

Each of the x-values is paired with only one y-value, so the relation is a function.


Question: A dog show enthusiast recorded the weight of the winning dog at recent dog shows. According to the table, what was the rate of change between 2011 and 2012?

Answer: -2

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{30 kilograms - 32 kilograms}{2012 - 2011}
 = \frac{30 kilograms - 32 kilograms}{1 year}
 = \frac{-2 kilograms}{1 year}
 = -2 kilograms per year
The rate of change between 2011 and 2012 was - 2 kilograms per year.


Question: Charlotte went to the store. She bought 2 kilograms of semisweet chocolate chips and 2 kilograms of butterscotch chips. How much did she spend?

Answer: 9.52

dark chocolate chips | $3.34/kg
semisweet chocolate chips | $1.51/kg
peanut butter chips | $2.25/kg
milk chocolate chips | $1.53/kg
butterscotch chips | $3.25/kg

dark chocolate chips
semisweet chocolate chips
peanut butter chips
milk chocolate chips
butterscotch chips

Solution:
Find the cost of the semisweet chocolate chips. Multiply:

$1.51 × 2 = $3.02

Find the cost of the butterscotch chips. Multiply:

$3.25 × 2 = $6.50

Now find the total cost by adding:

$3.02 + $6.50 = $9.52

She spent $9.52.


Question: How much money does Lara need to buy a red wagon and a model railroad set?

Answer: 130

red wagon | $32
model airplane | $41
model railroad set | $98
trivia game | $34
remote control car | $27

red wagon
model airplane
model railroad set
trivia game
remote control car

Solution:
Add the price of a red wagon and the price of a model railroad set:

$32 + $98 = $130

Lara needs $130.


Question: Dillon purchased 5 kilograms of chocolate chip cookie dough, 1 kilogram of gingersnap cookie dough, and 5 kilograms of peanut butter cookie dough. What was the total cost?

Answer: 28

peanut butter cookie dough | $3 per kilogram
snickerdoodle cookie dough | $3 per kilogram
double chocolate cookie dough | $2 per kilogram
gingersnap cookie dough | $3 per kilogram
chocolate chip cookie dough | $2 per kilogram

peanut butter cookie dough
snickerdoodle cookie dough
double chocolate cookie dough
gingersnap cookie dough
chocolate chip cookie dough

$3 per kilogram
$3 per kilogram
$2 per kilogram
$3 per kilogram
$2 per kilogram

Solution:
Find the cost of the chocolate chip cookie dough. Multiply:

$2 × 5 = $10

Find the cost of the gingersnap cookie dough. Multiply:

$3 × 1 = $3

Find the cost of the peanut butter cookie dough. Multiply:

$3 × 5 = $15

Now find the total cost by adding:

$10 + $3 + $15 = $28

The total cost was $28.


Question: The town council reported on how many stop signs there are on each street. What is the mean of the numbers?

Answer: 7

Street | Number of stop signs
Watson Street | 10
Walker Street | 4
Mason Street | 9
Peabody Street | 5
Spring Street | 7
Smith Street | 7
Jackson Street | 9
Marshall Street | 5

Watson Street
Walker Street
Mason Street
Peabody Street
Spring Street
Smith Street
Jackson Street
Marshall Street

Solution:
Read the numbers from the table.

10, 4, 9, 5, 7, 7, 9, 5

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

10 + 4 + 9 + 5 + 7 + 7 + 9 + 5 = 56

Now divide the sum by the number of numbers:

56 ÷ 8 = 7

The mean is 7.


Question: A car dealership tracked the number of cars sold each month. In which month did the dealership sell the fewest cars?

Choices:
- May
- June
- July
- August

Answer: August

Month | Number of cars
May | 249
June | 245
July | 254
August | 225

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 225.

Now find the corresponding month. August corresponds to 225.


Question: Each toy bin has 10 yellow blocks. How many yellow blocks are in 3 toy bins?

Answer: 30

Number of toy bins | Number of yellow blocks
1 | 10
2 | 20
3 | ?

Solution: Count by tens. Use the chart: there are 30 yellow blocks in 3 toy bins.


Question: How much money does Brennan need to buy a green colored pencil and a purple colored pencil?

Answer: 1.70

green colored pencil | $0.76
thick black marker | $0.45
package of pencil lead | $0.71
mechanical pencil | $0.42
purple colored pencil | $0.94

green colored pencil
thick black marker
package of pencil lead
mechanical pencil
purple colored pencil

Solution:
Add the price of a green colored pencil and the price of a purple colored pencil:

$0.76 + $0.94 = $1.70

Brennan needs $1.70.


Question: Look at the following schedule. When does the train depart from Winchester?

Choices:
- 8:55 P.M.
- 5:05 P.M.
- 5:25 P.M.
- 3:30 P.M.

Answer: 5:25 P.M.

Hillsboro Campbell Lexington Westminster Winchester Dayton Kensington Manchester Lowell Weston

Solution:
Find Winchester on the schedule. Find the departure time for Winchester.

Winchester: 5:25 P. M.


Question: In trying to calculate how much money could be saved by packing lunch, Felipe recorded the amount he spent on lunch each day. According to the table, what was the rate of change between Wednesday and Thursday?

Answer: 4

Day | Amount spent
Monday | $5
Tuesday | $5
Wednesday | $3
Thursday | $7
Friday | $8

Solution:
Plug the numbers into the formula for rate of change and simplify.
Rate of change
 = \frac{change in value}{change in time}
 = \frac{$7 - $3}{1 day}
 = \frac{$4}{1 day}
 = $4 perday
The rate of change between Wednesday and Thursday was $4 perday.


Question: The Kingwood Art Museum recorded how many finger puppets the children made at last Sunday's art workshop. How many children made exactly 1 finger puppet?

Answer: 16

Finger puppets made | Frequency
0 | 12
1 | 16
2 | 14
3 | 2
4 | 9

Solution:
Find the row for 1 finger puppet and read the frequency. The frequency is 16.

16 children made exactly1 finger puppet.


Question: Emmy went to the store. She bought 4 kilograms of rotini pasta and 4 kilograms of spirali pasta. How much did she spend?

Answer: 23.28

farfalle pasta | $2.49 per kg
rotini pasta | $2.86 per kg
spirali pasta | $2.96 per kg
penne pasta | $2.25 per kg

farfalle pasta
rotini pasta
spirali pasta
penne pasta

$2.49 per kg
$2.86 per kg
$2.96 per kg
$2.25 per kg

Solution:
Find the cost of the rotini pasta. Multiply:

$2.86 × 4 = $11.44

Find the cost of the spirali pasta. Multiply:

$2.96 × 4 = $11.84

Now find the total cost by adding:

$11.44 + $11.84 = $23.28

She spent $23.28.


Question: Look at the following schedule. How long does it take to get from the shopping mall to the hospital?

Choices:
- 1 hour
- 15 minutes
- 45 minutes
- 30 minutes

Answer: 1 hour

city hall
shopping mall
swimming pool
art museum
hospital
library
post office
soccer field
university

Solution:
Read the times in the first column for the shopping mall and the hospital.

Find the elapsed time between 10:30 A. M. and 11:30 A. M. The elapsed time is 1 hour.

No matter which column of times you look at, the elapsed time is always 1 hour.


Question: Each bouquet has 5 lilies. How many lilies are in 3 bouquets?

Answer: 15

Number of bouquets | Number of lilies
1 | 5
2 | 10
3 | ?

Solution: Count by fives. Use the chart: there are 15 lilies in 3 bouquets.


Question: A city recorded how many people rode the subway each day. How many people in total rode the subway on Tuesday and Wednesday?

Answer: 4,912

Day | Number of riders
Monday | 2,651
Tuesday | 2,206
Wednesday | 2,706
Thursday | 3,194

Solution:
Find the numbers in the table.

Tuesday: 2,206
Wednesday: 2,706

Now add: 2,206 + 2,706 = 4,912.

4,912 people rode the subway on Tuesday and Wednesday.


Question: In considering whether to open a new branch, the city council examined the number of times some typical residents went to the library last month. How many people are there in all?

Answer: 40

Number of trips | Frequency
1 | 1
2 | 8
3 | 20
4 | 9
5 | 2

Solution:
Add the frequencies for each row.

Add:

1 + 8 + 20 + 9 + 2 = 40

There are 40 people in all.


Question: How much money does Valentina need to buy a speedboat ride and an airplane ride?

Answer: 1,190

airplane ride | $787.00
speedboat ride | $403.00
helicopter ride | $250.00
sailboat ride | $245.00
hot air balloon ride | $543.00

airplane ride
speedboat ride
helicopter ride
sailboat ride
hot air balloon ride

Solution:
Add the price of a speedboat ride and the price of an airplane ride:

$403.00 + $787.00 = $1,190.00

Valentina needs $1,190.00.


Question: A car dealership tracked the number of cars sold each month. What is the mean of the numbers?

Answer: 16

Month | Number of cars
March | 12
April | 18
May | 11
June | 14
July | 20
August | 16
September | 19
October | 18

March April May June July August September October

Solution:
Read the numbers from the table.

12, 18, 11, 14, 20, 16, 19, 18

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

12 + 18 + 11 + 14 + 20 + 16 + 19 + 18 = 128

Now divide the sum by the number of numbers:

128 ÷ 8 = 16

The mean is 16.


Question: Turner buys 1 pound of shredded wheat. What is the total cost?

Answer: 4.74

bran flakes | $5.96 per lb
shredded wheat | $4.74 per lb
granola | $3.32 per lb
puffed wheat | $4.46 per lb

bran flakes
shredded wheat
granola
puffed wheat

$5.96 per lb
$4.74 per lb
$3.32 per lb
$4.46 per lb

Solution:
Find the cost of the shredded wheat. Multiply the price per pound by the number of pounds.

$4.74 × 1 = $4.74

The total cost is $4.74.


Question: Chad went to the store and bought 3/4 of a pound of oatmeal raisin cookie dough. How much did he spend?

Answer: 5.25

oatmeal raisin cookie dough | $7 per pound
chocolate chip cookie dough | $5 per pound
snickerdoodle cookie dough | $5 per pound
double chocolate cookie dough | $6 per pound
peanut butter cookie dough | $6 per pound
gingersnap cookie dough | $4 per pound

oatmeal raisin cookie dough
chocolate chip cookie dough
snickerdoodle cookie dough
double chocolate cookie dough
peanut butter cookie dough
gingersnap cookie dough

$7 per pound
$5 per pound
$5 per pound
$6 per pound
$6 per pound
$4 per pound

Solution:
Find the cost of the oatmeal raisin cookie dough. Multiply the price per pound by the number of pounds.
$7 × \frac{3}{4} = $7 × 0.75 = $5.25
He spent $5.25.


Question: Several students participated in a race. What is the mean of the numbers?

Answer: 36

Runner | Time (minutes)
Oliver | 23
Rosanne | 39
Ashley | 33
Warren | 35
Maria | 42
Hazel | 38
Baldwin | 35
Lacey | 43

Oliver Rosanne Ashley Warren Maria Hazel Baldwin Lacey

Solution:
Read the numbers from the table.

23, 39, 33, 35, 42, 38, 35, 43

First, count how many numbers are in the group.

There are 8 numbers.

Now add all the numbers together:

23 + 39 + 33 + 35 + 42 + 38 + 35 + 43 = 288

Now divide the sum by the number of numbers:

288 ÷ 8 = 36

The mean is 36.


Question: How much would it cost to buy 4+9/10 kilograms of heart-shaped beads?

Answer: 14.70

star-shaped beads | $2/kg
spherical beads | $2/kg
oval beads | $3/kg
heart-shaped beads | $3/kg
square beads | $3/kg
flower-shaped beads | $2/kg
rectangular beads | $3/kg

star-shaped beads
spherical beads
oval beads
heart-shaped beads
square beads
flower-shaped beads
rectangular beads

Solution:
Find the cost of the heart-shaped beads. Multiply the price per kilogram by the number of kilograms.
$3 × 4\frac{9}{10} = $3 × 4.9 = $14.70
It would cost $14.70.


Question: How much money does Nate need to buy a history book and a spelling workbook?

Answer: 25

poetry book | $15
history book | $15
geography book | $11
spelling workbook | $10
picture book | $10
coloring book | $18

poetry book
history book
geography book
spelling workbook
picture book
coloring book

Solution:
Add the price of a history book and the price of a spelling workbook:

$15 + $10 = $25

Nate needs $25.


Question: Kendra has $0.19. How much money will Kendra have left if she buys a piece of green slate and a piece of fool's gold?

Answer: 0.07

quartz crystal | $0.05
smooth piece of marble | $0.06
piece of fool's gold | $0.03
orange agate | $0.05
piece of polished granite | $0.08
piece of green slate | $0.09

quartz crystal
smooth piece of marble
piece of fool's gold
orange agate
piece of polished granite
piece of green slate

Solution:
Find the total cost of a piece of green slate and a piece of fool's gold.

$0.09 + $0.03 = $0.12

Now subtract the total cost from the starting amount.

$0.19 - $0.12 = $0.07

Kendra will have $0.07 left.


Question: Students at Lexington Middle School wrote and submitted poems for a district-wide writing contest. How many students wrote at least 4 poems?

Answer: 20

Poems written | Frequency
1 | 1
2 | 4
3 | 12
4 | 7
5 | 11
6 | 2

Solution:
Find the rows for 4, 5, and 6 poems. Add the frequencies for these rows.

Add:

7 + 11 + 2 = 20

20 students wrote at least 4 poems.


Question: Donald has $0.07. Does he have enough to buy a scallop shell and a shiny gold shell?

Choices:
- yes
- no

Answer: yes

shiny gold shell | $0.01
whole sand dollar | $0.08
scallop shell | $0.05
beautiful yellow shell | $0.05
white spindle shell | $0.06

shiny gold shell
whole sand dollar
scallop shell
beautiful yellow shell
white spindle shell

Solution:
Add the price of a scallop shell and the price of a shiny gold shell:

$0.05 + $0.01 = $0.06

$0.06 is less than $0.07. Donald does have enough money.


Question: The teachers at a middle school counted how many computers they had in their classrooms. What is the range of the numbers?

Answer: 3

Teacher | Number of computers
Ms. Cohen | 6
Mr. Schmidt | 5
Mr. Lim | 5
Mrs. Rossi | 5
Miss Murphy | 6
Mrs. Jansen | 8

Ms. Cohen
Mr. Schmidt
Mr. Lim
Mrs. Rossi
Miss Murphy
Mrs. Jansen

Solution:
Read the numbers from the table.

6, 5, 5, 5, 6, 8

First, find the greatest number. The greatest number is 8.

Next, find the least number. The least number is 5.

Subtract the least number from the greatest number:

8 − 5 = 3

The range is 3.


Question: A farmer counted the number of apples on each tree in her orchard. How many trees have exactly 35 apples?

Answer: 2

Solution:
For the number 35, the stem is 3, and the leaf is 5. Find the row where the stem is 3. In that row, count all the leaves equal to 5.

You counted 2 leaves, which are blue in the stem-and-leaf plot above. 2 trees have exactly 35 apples.


Question: The librarian at the public library counted the number of books on each shelf. What is the smallest number of books?

Answer: 18

Solution:
Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 1.

Now find the lowest leaf in the first row. The lowest leaf is 8.

The smallest number of books has a stem of 1 and a leaf of 8. Write the stem first, then the leaf: 18.

The smallest number of books is 18 books.


Question: A game show program recorded the scores of its contestants. How many contestants scored more than 8?

Answer: 20

Solution:
Find the rows for 9 and 10. Add the frequencies for these rows.

Add:

12 + 8 = 20

20 contestants scored more than 8.


Question: How much more does a pink and white striped shell cost than a polished silver top shell?

Answer: 0.50

oyster shell | $0.31
whole sand dollar | $0.57
pink and white striped shell | $0.79
polished silver top shell | $0.29

oyster shell
whole sand dollar
pink and white striped shell
polished silver top shell

Solution:
Subtract the price of a polished silver top shell from the price of a pink and white striped shell.

$0.79 - $0.29 = $0.50

A pink and white striped shell costs $0.50 more than a polished silver top shell.


Question: How much money does Layla need to buy a coloring book and a book of crossword puzzles?

Answer: 9

book of crossword puzzles | $5
map of the United States | $2
map of the world | $7
book of brainteasers | $5
airplane calendar | $6
coloring book | $4

book of crossword puzzles
map of the United States
map of the world
book of brainteasers
airplane calendar
coloring book

Solution:
Add the price of a coloring book and the price of a book of crossword puzzles:

$4 + $5 = $9

Layla needs $9.


Question: Logan recalled how many minutes he had spent at theater rehearsal in the past 4 days. On which day did Logan rehearse the most?

Choices:
- Thursday
- Friday
- Saturday
- Sunday

Answer: Thursday

Day | Minutes
Thursday | 172
Friday | 127
Saturday | 117
Sunday | 122

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 172.

Now find the corresponding day. Thursday corresponds to 172.


Question: A game show viewer monitors how often a wheel numbered 1 through 5 stops at each number. How many people spun a number greater than 3?

Answer: 20

Solution:
Find the rows for 4 and 5. Add the frequencies for these rows.

Add:

0 + 20 = 20

20 people spun a number greater than 3.


Question: A plant nursery in Greenville keeps records of how many of its plants are annuals, biennials, and perennials. What fraction of the plants are biennials? Simplify your answer.

Answer: 21/62

Type | Number of plants
Annuals | 57
Perennials | 66
Biennials | 63

Solution:
Find how many plants are biennials.

63

Find how many plants the nursery has in total.

57 + 66 + 63 = 186

Divide 63 by186.

\frac{63}{186}

Reduce the fraction.

\frac{63}{186} → \frac{21}{62}

\frac{21}{62} of plants are biennials.


Question: The members of the track team compared how many miles they ran last week. What is the mean of the numbers?

Answer: 5

Name | Miles
Ruben | 4
Pam | 10
Adriana | 3
Deion | 4
Jaylen | 3
Hazel | 6

Solution:
Read the numbers from the table.

4, 10, 3, 4, 3, 6

First, count how many numbers are in the group.

There are 6 numbers.

Now add all the numbers together:

4 + 10 + 3 + 4 + 3 + 6 = 30

Now divide the sum by the number of numbers:

30 ÷ 6 = 5

The mean is 5.


Question: Tina counted the number of pieces of pepperoni on each pizza she made. What is the largest number of pieces of pepperoni?

Answer: 49

Solution:
Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 4.

Now find the highest leaf in the last row. The highest leaf is 9.

The largest number of pieces of pepperoni has a stem of 4 and a leaf of 9. Write the stem first, then the leaf: 49.

The largest number of pieces of pepperoni is 49 pieces of pepperoni.


Question: Judy has $66.00. How much money will Judy have left if she buys a yellow bath towel and a fleece blanket?

Answer: 35

fleece blanket | $13.00
pillow | $12.00
yellow bath towel | $18.00
flannel sheet | $17.00
quilt | $17.00

fleece blanket
pillow
yellow bath towel
flannel sheet
quilt

Solution:
Find the total cost of a yellow bath towel and a fleece blanket.

$18.00 + $13.00 = $31.00

Now subtract the total cost from the starting amount.

$66.00 - $31.00 = $35.00

Judy will have $35.00 left.


Question: The table shows a function. Is the function linear or nonlinear?

Choices:
- linear
- nonlinear

Answer: linear

Solution:
To determine whether the function is linear or nonlinear, see whether it has a constant rate of change.
Pick the points in any two rows of the table and calculate the rate of change between them. The first two rows are a good place to start.
Call the values in the first row x1 and y1. Call the values in the second row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{10 - 20}{9 - 8}
 = \frac{-10}{1}
 = -10
Now pick any other two rows and calculate the rate of change between them.
Call the values in the first row x1 and y1. Call the values in the third row x2 and y2.
Rate of change = \frac{y2 - y1}{x2 - x1}
 = \frac{0 - 20}{10 - 8}
 = \frac{-20}{2}
 = -10
The two rates of change are the same.
10.
This means the rate of change is the same for each pair of points. So, the function has a constant rate of change.
The function is linear.


Question: Look at the following schedule. Which class begins at 2.10 P.M.?

Choices:
- swing dance class
- hip hop dance class
- beginning ballet class
- western dance class

Answer: swing dance class

Class | Begin | End
salsa dance | 9:05 A.M. | 9:35 A.M.
western dance | 9:45 A.M. | 11:05 A.M.
beginning ballet | 11:15 A.M. | 11:55 A.M.
intermediate ballet | 12:00 P.M. | 1:10 P.M.
hip hop dance | 1:25 P.M. | 2:05 P.M.
swing dance | 2:10 P.M. | 3:15 P.M.

salsa dance
western dance
beginning ballet
intermediate ballet
hip hop dance
swing dance

Solution: Find 2:10 P. M. on the schedule. The swing dance class begins at 2:10 P. M.


Question: How much more does a plane ticket to Tokyo cost than a plane ticket to New York City?

Answer: 517

plane ticket to Tokyo | $971.00
plane ticket to New York City | $454.00
plane ticket to San Francisco | $716.00
plane ticket to London | $599.00

plane ticket to Tokyo
plane ticket to New York City
plane ticket to San Francisco
plane ticket to London

Solution:
Subtract the price of a plane ticket to New York City from the price of a plane ticket to Tokyo.

$971.00 - $454.00 = $517.00

A plane ticket to Tokyo costs $517.00 more than a plane ticket to New York City.


Question: The bird watcher counted the number of birds in each flock that passed overhead. What is the largest number of birds?

Answer: 75

Solution:
Look at the last row of the stem-and-leaf plot. The last row has the highest stem. The stem for the last row is 7.

Now find the highest leaf in the last row. The highest leaf is 5.

The largest number of birds has a stem of 7 and a leaf of 5. Write the stem first, then the leaf: 75.

The largest number of birds is 75 birds.


Question: The transportation company tracked the number of train tickets sold in the past 7 days. What is the median of the numbers?

Answer: 42

Day | Number of tickets
Monday | 42
Tuesday | 35
Wednesday | 38
Thursday | 43
Friday | 36
Saturday | 43
Sunday | 45

Monday Tuesday Wednesday Thursday Friday Saturday Sunday

Solution:
Read the numbers from the table.

42, 35, 38, 43, 36, 43, 45

First, arrange the numbers from least to greatest:

35, 36, 38, 42, 43, 43, 45

Now find the number in the middle.

35, 36, 38, 42, 43, 43, 45

The number in the middle is 42.

The median is 42.


Question: While hanging Christmas lights for neighbors, Evan counted the number of broken lights on each string. How many strings had at least 50 broken lights but less than 80 broken lights?

Answer: 11

Solution:
Count all the leaves in the rows with stems 5, 6, and 7.

You counted 11 leaves, which are blue in the stem-and-leaf plot above. 11 strings had at least 50 broken lights but less than 80 broken lights.


Question: A bus driver paid attention to how many passengers her bus had each day. On which day did the bus have the most passengers?

Choices:
- Saturday
- Sunday
- Monday
- Tuesday

Answer: Saturday

Day | Number of people
Saturday | 97
Sunday | 94
Monday | 91
Tuesday | 93

Solution:
Find the greatest number in the table. Remember to compare the numbers starting with the highest place value. The greatest number is 97.

Now find the corresponding day. Saturday corresponds to 97.


Question: While compiling photos for an album, Maureen noted the number of photographs taken by each of her friends and family. How many people took more than 1 photograph?

Answer: 51

Photographs taken | Frequency
0 | 9
1 | 0
2 | 16
3 | 1
4 | 18
5 | 4
6 | 12

Solution:
Find the rows for 2, 3, 4, 5, and 6 photographs. Add the frequencies for these rows.

Add:

16 + 1 + 18 + 4 + 12 = 51

51 people took more than 1 photograph.


Question: A game show viewer monitors how often a wheel numbered 1 through 5 stops at each number. How many people spun a number less than 3?

Answer: 17

Number spun | Frequency
1 | 3
2 | 14
3 | 4
4 | 9
5 | 0

Solution:
Find the rows for 1 and 2. Add the frequencies for these rows.

Add:

3 + 14 = 17

17 people spun a number less than 3.


Question: Stefan measured the length of each scarf in the clothing store where he works. How many scarves are at least 60 centimeters but less than 80 centimeters?

Answer: 9

Solution:
Count all the leaves in the rows with stems 6 and 7.

You counted 9 leaves, which are blue in the stem-and-leaf plot above. 9 scarves are at least 60 centimeters but less than 80 centimeters.


Question: How much more does a guitar cost than a clarinet?

Answer: 90

flute | $472
clarinet | $494
banjo | $343
trombone | $204
drum set | $208
guitar | $584

flute
clarinet
banjo
trombone
drum set
guitar

Solution:
Subtract the price of a clarinet from the price of a guitar.

$584 - $494 = $90

A guitar costs $90 more than a clarinet.


Question: Ethan wants to buy 3+1/4 pounds of rib. How much will he spend?

Answer: 16.25

brisket | $3/lb
round | $8/lb
chuck | $10/lb
shank | $10/lb
loin | $8/lb
rib | $5/lb

Solution:
Find the cost of the rib. Multiply the price per pound by the number of pounds.
$5 × 3\frac{1}{4} = $5 × 3.25 = $16.25
He will spend $16.25.


Question: Livingston Property Management reviewed the number of vacant apartments at each its apartment complexes over time. In September, which complex had the most vacant apartments?

Choices:
- City Apartments
- Downtown Apartments
- University Apartments
- Alameda Apartments

Answer: City Apartments

Apartment complex | August | September
Alameda Apartments | 11 | 17
City Apartments | 16 | 20
Downtown Apartments | 14 | 13
Shadyside Apartments | 5 | 5
University Apartments | 9 | 12

Alameda Apartments
City Apartments
Downtown Apartments
Shadyside Apartments
University Apartments

Solution:
Look at the numbers in the September column. Find the greatest number in this column.

The greatest number is 20, which is in the City Apartments row. In September, City Apartments had the most vacant apartments.


Question: Erin graphed the temperature at noon for 7 days. What is the mode of the numbers?

Answer: 4

Day | Temperature (Â°C)
Sunday | 4
Monday | 4
Tuesday | 6
Wednesday | 5
Thursday | 6
Friday | 4
Saturday | 5

Solution:
Read the numbers from the table.

4, 4, 6, 5, 6, 4, 5

First, arrange the numbers from least to greatest:

4, 4, 4, 5, 5, 6, 6

Now count how many times each number appears.

4 appears 3 times.
5 appears 2 times.
6 appears 2 times.

The number that appears most often is 4.

The mode is 4.


Question: How much more does a pot-bellied pig cost than a rabbit?

Answer: 29

rabbit | $21.88
pot-bellied pig | $50.88
tarantula | $25.55
bearded dragon | $74.21

rabbit
pot-bellied pig
tarantula
bearded dragon

Solution:
Subtract the price of a rabbit from the price of a pot-bellied pig.

$50.88 - $21.88 = $29.00

A pot-bellied pig costs $29.00 more than a rabbit.


Question: Sandeep counted the number of silver beads on each bracelet at Booneville Jewelry, the store where he works. How many bracelets had at least 47 silver beads?

Answer: 7

Solution:
Find the row with stem 4. Count all the leaves greater than or equal to 7.

Count all the leaves in the row with stem 5.

You counted 7 leaves, which are blue in the stem-and-leaf plots above. 7 bracelets had at least 47 silver beads.


Question: A wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. The consulting company gathered data from each customer that purchased hiking shoes, and recorded the shoe brand and the customer's level of happiness. What is the probability that a randomly selected customer is pleased and purchased a Footlong shoe? Simplify any fractions.

Answer: 2/11

 | A Footlong shoe | A Toes Knows shoe
Displeased | 3 | 2
Pleased | 2 | 4

Solution:
Let A be the event "the customer is pleased" and B be the event "the customer purchased a Footlong shoe".
To find the probability that a customer is pleased and purchased a Footlong shoe, first identify the sample space and the event.
The outcomes in the sample space are the different customers. Each customer is equally likely to be selected, so this is a uniform probability model.
The event is A and B, "the customer is pleased and purchased a Footlong shoe".
Since this is a uniform probability model, count the number of outcomes in the event A and B and count the total number of outcomes. Then, divide them to compute the probability.

Find the number of outcomes in the event A and B.
A and B is the event "the customer is pleased and purchased a Footlong shoe", so look at the table to see how many customers are pleased and purchased a Footlong shoe.
The number of customers who are pleased and purchased a Footlong shoe is 2.

Find the total number of outcomes.
Add all the numbers in the table to find the total number of customers.
3 + 2 + 2 + 4 = 11

Find P(A and B).
Since all outcomes are equally likely, the probability of event A and B is the number of outcomes in event A and B divided by the total number of outcomes.
P(A and B) = \frac{# of outcomes in A and B}{total # of outcomes}
 = \frac{2}{11}
The probability that a customer is pleased and purchased a Footlong shoe is \frac{2}{11}.


Question: A food magazine published a listing of local restaurant ratings. How many restaurants were rated exactly 4 points?

Answer: 0

Solution:
For the number 4, the stem is 0, and the leaf is 4. Find the row where the stem is 0. In that row, count all the leaves equal to 4.

You counted 0 leaves. 0 restaurants were rated exactly 4 points.


Question: Kenny bought 4 kilograms of strawberry ice cream and 2 kilograms of cherry ice cream. How much did he spend?

Answer: 12.78

strawberry ice cream | $2.30 per kg
cherry ice cream | $1.79 per kg
mint ice cream | $0.95 per kg
coffee ice cream | $1.99 per kg

strawberry ice cream
cherry ice cream
mint ice cream
coffee ice cream

$2.30 per kg
$1.79 per kg
$0.95 per kg
$1.99 per kg

Solution:
Find the cost of the strawberry ice cream. Multiply:

$2.30 × 4 = $9.20

Find the cost of the cherry ice cream. Multiply:

$1.79 × 2 = $3.58

Now find the total cost by adding:

$9.20 + $3.58 = $12.78

He spent $12.78.


Question: How much money does Anthony need to buy 2 pieces of black obsidian and 7 pumice stones?

Answer: 6.22

piece of black obsidian | $0.59
orange agate | $0.74
piece of black mica | $0.26
pumice stone | $0.72

piece of black obsidian
orange agate
piece of black mica
pumice stone

Solution:
Find the cost of 2 pieces of black obsidian.

$0.59 × 2 = $1.18

Find the cost of 7 pumice stones.

$0.72 × 7 = $5.04

Now find the total cost.

$1.18 + $5.04 = $6.22

Anthony needs $6.22.


Question: How much money does Kinsley need to buy a basketball ticket and a football ticket?

Answer: 176.28

football ticket | $83.53
tennis ticket | $66.87
soccer ticket | $89.27
hockey ticket | $38.10
basketball ticket | $92.75

football ticket
tennis ticket
soccer ticket
hockey ticket
basketball ticket

Solution:
Add the price of a basketball ticket and the price of a football ticket:

$92.75 + $83.53 = $176.28

Kinsley needs $176.28.


Question: The local high school found out how many members each club had. Which club has the fewest members?

Choices:
- geology club
- photography club
- art club
- Spanish club

Answer: photography club

Club | Number of members
geology club | 185
photography club | 118
art club | 158
Spanish club | 159

geology club
photography club
art club
Spanish club

Solution:
Find the least number in the table. Remember to compare the numbers starting with the highest place value. The least number is 118.

Now find the corresponding club. Photography club corresponds to 118.


Question: Look at the table. Then answer the question. At a price of $190, is there a shortage or a surplus?

Choices:
- shortage
- surplus

Answer: surplus

Solution: At the price of $190, the quantity demanded is less than the quantity supplied. There is too much of the good or service for sale at that price. So, there is a surplus.


Question: A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. What is the smallest number of lemon-flavored candies?

Answer: 61

Solution:
Look at the first row of the stem-and-leaf plot. The first row has the lowest stem. The stem for the first row is 6.

Now find the lowest leaf in the first row. The lowest leaf is 1.

The smallest number of lemon-flavored candies has a stem of 6 and a leaf of 1. Write the stem first, then the leaf: 61.

The smallest number of lemon-flavored candies is 61 lemon-flavored candies.


Question: Helen kept track of the number of characters in each book she read. How many books had at least 30 characters but fewer than 40 characters?

Answer: 3

Solution:
Count all the leaves in the row with stem 3.

You counted 3 leaves, which are blue in the stem-and-leaf plot above. 3 books had at least 30 characters but fewer than 40 characters.


Question: The manager of a party supply store researched how many balloons it sold in the past 6 days. What is the mean of the numbers?

Answer: 74

Day | Number of balloons
Saturday | 74
Sunday | 78
Monday | 74
Tuesday | 71
Wednesday | 72
Thursday | 75

Saturday Sunday Monday Tuesday Wednesday Thursday

Solution:
Read the numbers from the table.

74, 78, 74, 71, 72, 75

First, count how many numbers are in the group.

There are 6 numbers.

Now add all the numbers together:

74 + 78 + 74 + 71 + 72 + 75 = 444

Now divide the sum by the number of numbers:

444 ÷ 6 = 74

The mean is 74.