[User] Which property is shown: 5 * (3 + 2) = 5 * 3 + 5 * 2?

[Assistant] Distributive property


[User] What is the additive identity?

[Assistant] Identity properties


[User] Simplify: 12 - 8 + 4 * 2

[Assistant] Order of operations


[User] What is |-12|?

[Assistant] Absolute value


[User] Translate: 'three less than four times a number'

[Assistant] Writing expressions


[User] Combine like terms: 5y - 2y + 8y

[Assistant] Combining like terms


[User] Use distributive property: -3(x + 4)

[Assistant] Distributive property


[User] Which property: a + b = b + a?

[Assistant] Commutative property


[User] Evaluate: 15 - 3 * 4 + 2

[Assistant] Order of operations


[User] What is the multiplicative inverse of 5?

[Assistant] Inverse properties


[User] Simplify: 4x - 7x + 2x

[Assistant] Combining like terms


[User] Distribute: 2(3x - 5)

[Assistant] Distributive property


[User] What is x if 2x + 5 = 17?

[Assistant] Two-step equations


[User] Find the value of x: 4x - 3 = 2x + 9

[Assistant] Variables on both sides


[User] Solve: 3(x + 2) = 21

[Assistant] Multi-step equations


[User] What is the solution to 5x - 8 = 3x + 4?

[Assistant] Variables on both sides


[User] Solve for w: P = 2l + 2w

[Assistant] Literal equations


[User] Isolate a in the equation F = ma

[Assistant] Literal equations


[User] Find x when 6x + 1 = 4x - 7

[Assistant] Variables on both sides


[User] Solve: 2(x - 4) = 3x + 1

[Assistant] Multi-step equations


[User] What is x in the equation x/4 + 3 = 8?

[Assistant] Equations with fractions


[User] What is the solution to 7 - 2x = 15?

[Assistant] Two-step equations


[User] Find the values of x where 3x + 4 < 19

[Assistant] Linear inequalities


[User] What values of x satisfy -2x + 7 >= 3?

[Assistant] Linear inequalities


[User] Solve the compound inequality: 1 < 3x - 2 <= 10

[Assistant] Compound inequalities


[User] Find all solutions to |x + 3| = 8

[Assistant] Absolute value equations


[User] What values of x make |3x - 1| > 5 true?

[Assistant] Absolute value inequalities


[User] Graph x < 4 on a number line

[Assistant] Graphing inequalities


[User] Solve the inequality: 4x - 1 <= 2x + 5

[Assistant] Linear inequalities


[User] Find the solution set for |2x + 5| <= 7

[Assistant] Absolute value inequalities


[User] Convert 60 mph to km/h (1 mile = 1.6 km)

[Assistant] Unit conversions


[User] A car travels 240 miles in 4 hours. What is the unit rate?

[Assistant] Unit rates


[User] Convert 3 feet 6 inches to inches

[Assistant] Unit conversions


[User] If 5 pounds of apples cost $8, what is the cost per pound?

[Assistant] Unit rates


[User] A measurement of 25.3 cm has an error of +/- 0.2 cm. Find the percent error

[Assistant] Percent error


[User] Convert 2.5 hours to minutes

[Assistant] Unit conversions


[User] Is {(2,3), (4,5), (2,7)} a function?

[Assistant] Function definition


[User] What is the domain of f(x) = sqrt(x + 5)?

[Assistant] Domain and range


[User] Find the range of f(x) = -x^2 + 4

[Assistant] Domain and range


[User] If g(x) = 3x + 1, find g(-2)

[Assistant] Function evaluation


[User] Which function type shows constant rate of change?

[Assistant] Function types


[User] Is the relation y = x^2 a function?

[Assistant] Function definition


[User] What is the domain of h(x) = 1/(x + 2)?

[Assistant] Domain and range


[User] If f(5) = 12, what does this mean?

[Assistant] Function notation


[User] Find the slope between (-1, 3) and (2, 9)

[Assistant] Slope


[User] What is the slope of y = 4x - 1?

[Assistant] Slope-intercept form


[User] Write the equation with slope -2 through (3, 5)

[Assistant] Point-slope form


[User] Convert to slope-intercept: 2x - 3y = 9

[Assistant] Slope-intercept form


[User] Find the x-intercept of 5x + 2y = 10

[Assistant] X-intercepts


[User] Graph y = -x + 4

[Assistant] Graphing lines


[User] A taxi charges $3 plus $2 per mile. Write the function

[Assistant] Linear modeling


[User] What is the y-intercept of 3x + 4y = 16?

[Assistant] Y-intercept


[User] Find the slope of a line parallel to y = 5x + 2

[Assistant] Parallel lines


[User] Write in point-slope form: slope 3, point (2, 7)

[Assistant] Point-slope form


[User] Find the solution to the system: x + 2y = 10, 3x - y = 4

[Assistant] Systems of equations


[User] Use substitution to solve: x = 3y, 2x + y = 14

[Assistant] Substitution method


[User] Solve using elimination: 2x + 3y = 8, 4x - 3y = 10

[Assistant] Elimination method


[User] Graph: y >= 2x - 1, y < -x + 3

[Assistant] Systems of inequalities


[User] Find vertices of: x >= 0, y >= 0, 2x + y <= 8

[Assistant] Linear programming


[User] What are the solutions to: 3x - y = 7, x + 2y = 6?

[Assistant] Systems of equations


[User] How many solutions: y = 2x + 1, y = 2x - 3?

[Assistant] Systems of equations


[User] Solve by graphing: y = x + 2, y = -x + 4

[Assistant] Graphing method


[User] Simplify: a^4 * a^7

[Assistant] Product rule


[User] Simplify: (3y^2)^3

[Assistant] Power rule


[User] Simplify: m^10 / m^4

[Assistant] Quotient rule


[User] What is 8^0?

[Assistant] Zero exponent


[User] Write 0.0000032 in scientific notation

[Assistant] Scientific notation


[User] Is y = 3^x exponential growth or decay?

[Assistant] Exponential growth


[User] Find the 6th term: 4, 9, 14, 19, ...

[Assistant] Arithmetic sequences


[User] Find the 3rd term: 5, 15, 45, ...

[Assistant] Geometric sequences


[User] Simplify: x^-3

[Assistant] Negative exponents


[User] Write 4,200,000 in scientific notation

[Assistant] Scientific notation


[User] Simplify: (2^3)^2

[Assistant] Power rule


[User] What is 3^-2?

[Assistant] Negative exponents


[User] What is the result of (2x^2 - 3x + 5) + (4x^2 + x - 2)?

[Assistant] Adding polynomials


[User] Find the difference: (6x^2 + 2x - 1) - (3x^2 - x + 4)

[Assistant] Subtracting polynomials


[User] Multiply: 4x(x^2 - 3x + 2)

[Assistant] Multiplying polynomials


[User] Use FOIL to expand: (x - 1)(x + 5)

[Assistant] FOIL method


[User] Expand: (3x - 2)^2

[Assistant] Perfect square trinomials


[User] Factor out the GCF from 8x^2 + 12x - 4

[Assistant] Greatest common factor


[User] How do you factor x^2 - 8x + 15?

[Assistant] Factoring trinomials


[User] Factor completely: 4x^2 - 25

[Assistant] Difference of squares


[User] Factor: 2x^3 + 4x^2 + 6x + 12

[Assistant] Factoring by grouping


[User] Multiply: (2x + 1)(x - 4)

[Assistant] FOIL method


[User] Factor the trinomial x^2 + 9x + 20

[Assistant] Factoring trinomials


[User] What are the factors of 9x^2 - 16?

[Assistant] Difference of squares


[User] Where is the vertex of y = x^2 + 6x + 8?

[Assistant] Vertex


[User] Find axis of symmetry: y = 3x^2 - 12x + 5

[Assistant] Axis of symmetry


[User] Find x-intercepts: y = x^2 - 7x + 10

[Assistant] X-intercepts


[User] Convert to vertex form: y = x^2 - 4x + 1

[Assistant] Vertex form


[User] Factor to solve: x^2 + 3x - 10 = 0

[Assistant] Solving by factoring


[User] Find x when x^2 = 49

[Assistant] Square root method


[User] Complete the square: x^2 - 10x + 7

[Assistant] Completing the square


[User] Apply the quadratic formula to x^2 - 4x + 1 = 0

[Assistant] Quadratic formula


[User] Find discriminant: x^2 + 6x + 9

[Assistant] Discriminant


[User] A projectile follows h = -16t^2 + 48t. Find maximum height

[Assistant] Quadratic applications


[User] Solve: 2x^2 - 8x = 0

[Assistant] Solving by factoring


[User] Find y-intercept: y = 2x^2 - 5x + 3

[Assistant] Y-intercept


[User] Simplify: sqrt(64)

[Assistant] Square roots


[User] Simplify: sqrt(75)

[Assistant] Simplifying radicals


[User] Simplify: 4sqrt(18)

[Assistant] Simplifying radicals


[User] What is 3sqrt(5) + 7sqrt(5)?

[Assistant] Adding radicals


[User] Calculate: sqrt(10) * sqrt(15)

[Assistant] Multiplying radicals


[User] Find distance between (-2, 1) and (3, 5)

[Assistant] Distance formula


[User] Right triangle: legs 5 and 12, find hypotenuse

[Assistant] Pythagorean theorem


[User] What is x if sqrt(x - 1) = 4?

[Assistant] Radical equations


[User] How do you simplify sqrt(x^2y^4)?

[Assistant] Simplifying radicals


[User] Find the result: 8sqrt(2) - 3sqrt(2)

[Assistant] Subtracting radicals


[User] Reduce to lowest terms: (x^2 - 16)/(x - 4)

[Assistant] Simplifying rational expressions


[User] What is (3a)/(4b) * (8b^2)/(9a^2)?

[Assistant] Multiplying rational expressions


[User] Divide: (x^2 - 4)/(x + 1) divided by (x - 2)/(x + 3)

[Assistant] Dividing rational expressions


[User] Combine: 5/y + 3/y

[Assistant] Adding rational expressions


[User] Calculate: 7/(x-1) - 4/(x-1)

[Assistant] Subtracting rational expressions


[User] What is the LCD for 2/(x+3) + 1/(x-2)?

[Assistant] Least common denominator


[User] Find x when 5/x = 3/(x+2)

[Assistant] Rational equations


[User] If 3 machines make 60 parts in 4 hours, how long for 5 machines?

[Assistant] Work problems


[User] Simplify: (2x + 6)/(x + 3)

[Assistant] Simplifying rational expressions


[User] Add: 1/(x+1) + 2/(x+2)

[Assistant] Adding rational expressions


[User] Solve: 1/(x-1) = 2/(x+1)

[Assistant] Rational equations


[User] What is the domain of (x-1)/(x^2-9)?

[Assistant] Domain and range


[User] Find 10th term: 7, 11, 15, 19, ...

[Assistant] Arithmetic sequences


[User] What is the common difference in: 20, 15, 10, 5, ...?

[Assistant] Arithmetic sequences


[User] Write an explicit formula for: 1, 5, 9, 13, ...

[Assistant] Arithmetic sequences


[User] In the sequence 3, 12, 48, 192, ..., what is the 6th term?

[Assistant] Geometric sequences


[User] What is the common ratio in: 2, 8, 32, 128, ...?

[Assistant] Geometric sequences


[User] Calculate the sum of first 8 terms: 5, 10, 15, 20, ...

[Assistant] Arithmetic series


[User] Is 4, 7, 10, 13, ... arithmetic or geometric?

[Assistant] Sequence types


[User] Find a_n for: 2, 7, 12, 17, ...

[Assistant] Arithmetic sequences


[User] What is the 12th term of: -3, 1, 5, 9, ...?

[Assistant] Arithmetic sequences


[User] Find the 4th term: 1, 3, 9, ...

[Assistant] Geometric sequences


[User] Calculate the mean of: 8, 12, 15, 20, 25

[Assistant] Mean


[User] What is the median of: 4, 8, 2, 10, 6, 12, 5?

[Assistant] Median


[User] Find the mode of: 3, 5, 3, 8, 3, 7, 5

[Assistant] Mode


[User] What is the range of: 22, 18, 30, 14, 26?

[Assistant] Range


[User] Calculate IQR if Q1 = 15 and Q3 = 35

[Assistant] Interquartile range


[User] Is 60 an outlier if Q1 = 10, Q3 = 20, IQR = 10?

[Assistant] Outliers


[User] Make frequency table: Red, Blue, Red, Green, Blue, Red

[Assistant] Frequency tables


[User] What correlation: points trend upward left to right?

[Assistant] Correlation


[User] Line of best fit y = -3x + 10, predict y when x = 4

[Assistant] Line of best fit


[User] What does r = 0.92 indicate?

[Assistant] Correlation coefficient


[User] Actual = 15, predicted = 13, find residual

[Assistant] Residuals


[User] Compare box plots: median 18 vs median 22

[Assistant] Box plots


[User] More spread: IQR = 5 or IQR = 15?

[Assistant] Variability


[User] Probability of drawing a heart from standard deck

[Assistant] Probability


[User] Create histogram for: 12, 15, 18, 12, 20, 15, 18, 12

[Assistant] Histograms


[User] What is the first quartile in: 5, 8, 12, 15, 18, 22, 25?

[Assistant] Quartiles


[User] Interpret: strong negative correlation

[Assistant] Correlation


[User] Standard deviation measures what?

[Assistant] Standard deviation


[User] Which is more reliable: r = 0.3 or r = 0.8?

[Assistant] Correlation coefficient


[User] What does a residual plot show?

[Assistant] Residual plots


[User] Solve proportion: 2/5 = 8/x

[Assistant] Proportions


[User] Cross multiply: a/b = c/d

[Assistant] Cross multiplication


[User] If 4 pencils cost $1.20, what do 7 pencils cost?

[Assistant] Proportions


[User] Solve: (x+1)/3 = (x-2)/2

[Assistant] Rational equations


[User] A recipe for 4 serves needs 2 cups flour. How much for 6 serves?

[Assistant] Proportions


[User] Simplify: (x^2 + 3x)/(x)

[Assistant] Simplifying rational expressions


[User] Multiply: (x+2)/3 * 6/(x+2)

[Assistant] Multiplying rational expressions


[User] Divide: (x^2-1)/(x+1) divided by (x-1)

[Assistant] Dividing rational expressions


[User] Add: 2/(x-1) + 3/(x-1)

[Assistant] Adding rational expressions


[User] Subtract: 5/x - 2/x

[Assistant] Subtracting rational expressions


[User] Find LCD: 1/x + 1/(x+1)

[Assistant] Least common denominator


[User] Solve: 2/x = 6/(x+4)

[Assistant] Rational equations


[User] If 6 workers finish in 8 days, how long for 4 workers?

[Assistant] Work problems


[User] What values make (x-3)/(x+2) undefined?

[Assistant] Domain and range


[User] Simplify: (6x^2)/(3x)

[Assistant] Simplifying rational expressions


[User] Add: x/(x+1) + 2/(x+1)

[Assistant] Adding rational expressions


[User] Solve: 3/(x+2) = 1/(x-1)

[Assistant] Rational equations


[User] Domain of (3x-1)/(x^2-4)?

[Assistant] Domain and range


[User] Find 15th term: 6, 10, 14, 18, ...

[Assistant] Arithmetic sequences


[User] Common difference: 50, 42, 34, 26, ...?

[Assistant] Arithmetic sequences


[User] Explicit formula: 8, 13, 18, 23, ...

[Assistant] Arithmetic sequences


[User] Find 8th term: 1, 6, 36, 216, ...

[Assistant] Geometric sequences


[User] Common ratio: 4, 20, 100, 500, ...?

[Assistant] Geometric sequences


[User] Sum of first 5 terms: 3, 6, 9, 12, ...

[Assistant] Arithmetic series


[User] Is 1, 8, 27, 64, ... arithmetic or geometric?

[Assistant] Sequence types


[User] Recursive formula: 5, 9, 13, 17, ...

[Assistant] Recursive formulas


[User] 20th term: 1, 6, 11, 16, ...?

[Assistant] Arithmetic sequences


[User] Find 5th term: 7, 14, 28, ...

[Assistant] Geometric sequences


[User] Calculate mean: 4, 7, 10, 13, 16

[Assistant] Mean


[User] Median of: 2, 5, 8, 11, 14, 17, 20

[Assistant] Median


[User] Mode: 1, 3, 1, 5, 1, 7, 3

[Assistant] Mode


[User] Range: 9, 15, 21, 6, 18?

[Assistant] Range


[User] IQR if Q1 = 20 and Q3 = 45

[Assistant] Interquartile range


[User] Is 75 an outlier if Q1 = 15, Q3 = 25, IQR = 10?

[Assistant] Outliers


[User] Frequency table: Apple, Orange, Apple, Banana, Orange, Apple

[Assistant] Frequency tables


[User] Correlation: points trend downward left to right?

[Assistant] Correlation


[User] Line y = 4x + 1, predict y when x = 2

[Assistant] Line of best fit


[User] What does r = 0.65 indicate?

[Assistant] Correlation coefficient


[User] Actual = 25, predicted = 22, find residual

[Assistant] Residuals


[User] Compare: median 15 vs median 20

[Assistant] Box plots


[User] More spread: IQR = 7 or IQR = 14?

[Assistant] Variability


[User] Probability of drawing a club from deck

[Assistant] Probability


[User] Histogram for: 5, 7, 9, 5, 11, 7, 9, 5

[Assistant] Histograms


[User] Second quartile: 4, 8, 12, 16, 20, 24, 28?

[Assistant] Quartiles


[User] Interpret: weak positive correlation

[Assistant] Correlation


[User] Standard deviation measures what?

[Assistant] Standard deviation


[User] Stronger relationship: r = 0.6 or r = 0.9?

[Assistant] Correlation coefficient


[User] What information do residual plots provide?

[Assistant] Residual plots


[User] Solve: 3/7 = 12/x

[Assistant] Proportions


[User] Cross multiply: x/y = z/w

[Assistant] Cross multiplication


[User] If 15 books cost $45, what do 8 books cost?

[Assistant] Proportions


[User] Solve: (x-2)/4 = (x+1)/6

[Assistant] Rational equations


[User] Recipe for 8 needs 3 cups sugar. How much for 12?

[Assistant] Proportions


[User] Evaluate: 48 ÷ 6 + 5 * 3

[Assistant] Order of operations


[User] What is |-8 + 3|?

[Assistant] Absolute value


[User] Translate: 'five more than three times a number'

[Assistant] Writing expressions


[User] What is the multiplicative inverse of 2/3?

[Assistant] Inverse properties


[User] Which property: (a + b) + c = a + (b + c)?

[Assistant] Associative property


[User] Solve compound: -1 < 2x - 3 <= 7

[Assistant] Compound inequalities


[User] Find slope perpendicular to y = -3/4x + 1

[Assistant] Perpendicular lines


[User] Convert 4.25 hours to minutes

[Assistant] Unit conversions


[User] Is y = |x| a function?

[Assistant] Function definition


[User] Find a_1 if a_15 = 71 and d = 5

[Assistant] Arithmetic sequences


[User] Which decreases fastest: linear, quadratic, or exponential decay?

[Assistant] Function types


[User] Sum first 7 terms: 1, 5, 9, 13, ...

[Assistant] Arithmetic series


[User] State the zero product property

[Assistant] Zero product property


[User] Solve: (x+3)(x-8) = 0

[Assistant] Zero product property


[User] Factor: x^2 - 14x + 49

[Assistant] Perfect square trinomials


[User] What constraints define feasible region?

[Assistant] Linear programming


[User] Combine: 12a - 7a + 3a

[Assistant] Combining like terms


[User] Distribute: -4(2x + 5)

[Assistant] Distributive property


[User] Solve: 6x + 7 = 43

[Assistant] Two-step equations


[User] Find x: 7x + 2 = 3x + 18

[Assistant] Variables on both sides


[User] Solve: 4(x - 3) = 20

[Assistant] Multi-step equations


[User] Isolate h: V = πr²h

[Assistant] Literal equations


[User] Solve: 2x/3 + 1 = 7

[Assistant] Equations with fractions


[User] Find where 4x + 5 < 21

[Assistant] Linear inequalities


[User] Solve: -3x - 2 >= 10

[Assistant] Linear inequalities


[User] Solutions to |x - 4| = 9

[Assistant] Absolute value equations


[User] Solve: |2x + 3| < 7

[Assistant] Absolute value inequalities


[User] Graph: x >= -1 on number line

[Assistant] Graphing inequalities


[User] Convert 720 minutes to hours

[Assistant] Unit conversions


[User] A train travels 300 miles in 5 hours. Find rate

[Assistant] Unit rates


[User] Convert 4 feet 8 inches to inches

[Assistant] Unit conversions


[User] If 25 oranges cost $10, what is cost per orange?

[Assistant] Unit rates


[User] Measurement 42.7 mm with error +/- 0.3 mm. Find percent error

[Assistant] Percent error


[User] Is {(1,4), (2,5), (1,6)} a function?

[Assistant] Function definition


[User] Domain of g(x) = sqrt(2x - 6)?

[Assistant] Domain and range


[User] Range of h(x) = -x² + 9

[Assistant] Domain and range


[User] If p(x) = 4x - 7, find p(3)

[Assistant] Function evaluation


[User] Which function type has constant second differences?

[Assistant] Function types


[User] Domain of f(x) = 1/(x + 5)?

[Assistant] Domain and range


[User] If f(-1) = 8, what point is on graph?

[Assistant] Function notation


[User] Slope between (-2, 4) and (1, -2)

[Assistant] Slope


[User] Slope of y = -2/3x + 5?

[Assistant] Slope-intercept form


[User] Equation with slope 3/4 through (8, -1)

[Assistant] Point-slope form


[User] Convert to slope-intercept: 3x + 4y = 12

[Assistant] Slope-intercept form


[User] X-intercept of 4x - 3y = 24

[Assistant] X-intercepts


[User] Graph y = -2x + 3

[Assistant] Graphing lines


[User] Phone plan $25 plus $0.10 per minute. Write function

[Assistant] Linear modeling


[User] Y-intercept of 6x - 2y = 18?

[Assistant] Y-intercept


[User] Slope parallel to y = -4x + 7

[Assistant] Parallel lines


[User] Point-slope form: slope -1/2, point (4, 6)

[Assistant] Point-slope form


[User] System: 3x - 2y = 7, x + 2y = 9

[Assistant] Systems of equations


[User] Substitution: x = 2y, 3x + y = 21

[Assistant] Substitution method


[User] Elimination: 5x + 3y = 19, 2x - 3y = 2

[Assistant] Elimination method


[User] Graph: y <= 3x + 2, y > -x + 1

[Assistant] Systems of inequalities


[User] Find vertices: x >= 0, y >= 0, x + 2y <= 12

[Assistant] Linear programming


[User] Solutions to: 5x - 2y = 8, 3x + y = 7?

[Assistant] Systems of equations


[User] How many solutions: y = 3x + 5, y = 3x - 2?

[Assistant] Systems of equations


[User] Graph method: y = 2x - 1, y = -x + 5

[Assistant] Graphing method


[User] Simplify: x^8 * x^3

[Assistant] Product rule


[User] Simplify: (4a^3)^2

[Assistant] Power rule


[User] Simplify: y^15 / y^6

[Assistant] Quotient rule


[User] What is 15^0?

[Assistant] Zero exponent


[User] Write 0.000078 in scientific notation

[Assistant] Scientific notation


[User] Is y = 0.5^x exponential growth or decay?

[Assistant] Exponential decay


[User] Find 8th term: 2, 7, 12, 17, ...

[Assistant] Arithmetic sequences


[User] Find 4th term: 3, 12, 48, ...

[Assistant] Geometric sequences


[User] Simplify: a^-5

[Assistant] Negative exponents


[User] Write 8,500,000 in scientific notation

[Assistant] Scientific notation


[User] Simplify: (5^2)^4

[Assistant] Power rule


[User] What is 7^-3?

[Assistant] Negative exponents


[User] Add: (3x^2 + 5x - 2) + (2x^2 - 3x + 7)

[Assistant] Adding polynomials


[User] Subtract: (8x^2 - 4x + 1) - (5x^2 + 2x - 3)

[Assistant] Subtracting polynomials


[User] Multiply: 3x(2x^2 + 4x - 1)

[Assistant] Multiplying polynomials


[User] FOIL: (x + 3)(x - 7)

[Assistant] FOIL method


[User] Expand: (2x + 5)^2

[Assistant] Perfect square trinomials


[User] Factor GCF: 12x^3 - 18x^2 + 6x

[Assistant] Greatest common factor


[User] Factor: x^2 + 11x + 28

[Assistant] Factoring trinomials


[User] Factor: 16x^2 - 9

[Assistant] Difference of squares


[User] Factor by grouping: 3x^3 - 6x^2 + 2x - 4

[Assistant] Factoring by grouping


[User] Multiply: (3x - 2)(2x + 5)

[Assistant] FOIL method


[User] Factor: x^2 - 13x + 42

[Assistant] Factoring trinomials


[User] Factor: 25x^2 - 49

[Assistant] Difference of squares


[User] Vertex of y = x^2 - 8x + 15?

[Assistant] Vertex


[User] Axis of symmetry: y = 2x^2 + 8x - 3

[Assistant] Axis of symmetry


[User] X-intercepts: y = x^2 + 2x - 15

[Assistant] X-intercepts


[User] Vertex form: y = x^2 + 6x - 2

[Assistant] Vertex form


[User] Solve by factoring: x^2 - 5x - 14 = 0

[Assistant] Solving by factoring


[User] Solve: x^2 = 81

[Assistant] Square root method


[User] Complete square: x^2 + 12x - 5

[Assistant] Completing the square


[User] Quadratic formula: 2x^2 - 3x - 2 = 0

[Assistant] Quadratic formula


[User] Discriminant: x^2 - 4x + 4

[Assistant] Discriminant


[User] Ball height h = -16t^2 + 64t + 5. Find max height

[Assistant] Quadratic applications


[User] Solve: 3x^2 - 12x = 0

[Assistant] Solving by factoring


[User] Y-intercept: y = 3x^2 + 7x - 1

[Assistant] Y-intercept


[User] Simplify: sqrt(144)

[Assistant] Square roots


[User] Simplify: sqrt(98)

[Assistant] Simplifying radicals


[User] Simplify: 2sqrt(50)

[Assistant] Simplifying radicals


[User] Add: 6sqrt(3) + 4sqrt(3)

[Assistant] Adding radicals


[User] Multiply: sqrt(6) * sqrt(24)

[Assistant] Multiplying radicals


[User] Distance between (1, -3) and (5, 0)

[Assistant] Distance formula


[User] Right triangle: legs 8 and 15, find hypotenuse

[Assistant] Pythagorean theorem


[User] Solve: sqrt(x + 3) = 7

[Assistant] Radical equations


[User] Simplify: sqrt(a^4b^6)

[Assistant] Simplifying radicals


[User] Calculate: 12sqrt(7) - 5sqrt(7)

[Assistant] Subtracting radicals


[User] Simplify: (x^2 - 25)/(x + 5)

[Assistant] Simplifying rational expressions


[User] Multiply: (2x)/(3y) * (9y^2)/(4x^2)

[Assistant] Multiplying rational expressions


[User] Divide: (x^2 - 9)/(x - 2) ÷ (x + 3)/(x - 4)

[Assistant] Dividing rational expressions


[User] Add: 7/a + 2/a

[Assistant] Adding rational expressions


[User] Subtract: 9/(x+2) - 3/(x+2)

[Assistant] Subtracting rational expressions


[User] LCD for 3/(x-1) + 2/(x+4)?

[Assistant] Least common denominator


[User] Solve: 4/x = 2/(x-3)

[Assistant] Rational equations


[User] If 2 printers make 80 copies in 5 minutes, how long for 3 printers?

[Assistant] Work problems


[User] Simplify: (4x - 8)/(x - 2)

[Assistant] Simplifying rational expressions


[User] Add: 3/(x-2) + 1/(x+1)

[Assistant] Adding rational expressions


[User] Solve: 2/(x+3) = 4/(x-1)

[Assistant] Rational equations


[User] Domain of (2x+1)/(x^2-16)?

[Assistant] Domain and range


[User] Find 25th term: 4, 8, 12, 16, ...

[Assistant] Arithmetic sequences


[User] Common difference: 100, 85, 70, 55, ...?

[Assistant] Arithmetic sequences


[User] Explicit formula: 12, 17, 22, 27, ...

[Assistant] Arithmetic sequences


[User] Find 7th term: 2, 10, 50, 250, ...

[Assistant] Geometric sequences


[User] Common ratio: 1, 7, 49, 343, ...?

[Assistant] Geometric sequences


[User] Sum first 6 terms: 4, 8, 12, 16, ...

[Assistant] Arithmetic series


[User] Is 2, 4, 8, 16, ... arithmetic or geometric?

[Assistant] Sequence types


[User] Recursive formula: 3, 8, 13, 18, ...

[Assistant] Recursive formulas


[User] 30th term: 5, 9, 13, 17, ...?

[Assistant] Arithmetic sequences


[User] Find 6th term: 4, 12, 36, ...

[Assistant] Geometric sequences


[User] Mean: 6, 9, 12, 15, 18

[Assistant] Mean


[User] Median: 3, 7, 11, 15, 19, 23, 27

[Assistant] Median


[User] Mode: 2, 4, 2, 6, 2, 8, 4

[Assistant] Mode


[User] Range: 12, 18, 24, 8, 20?

[Assistant] Range


[User] IQR if Q1 = 25 and Q3 = 50

[Assistant] Interquartile range


[User] Is 90 an outlier if Q1 = 20, Q3 = 30, IQR = 10?

[Assistant] Outliers


[User] Frequency table: Cat, Dog, Cat, Bird, Dog, Cat

[Assistant] Frequency tables


[User] Correlation: no clear pattern in scatter plot?

[Assistant] Correlation


[User] Line y = 5x - 2, predict y when x = 3

[Assistant] Line of best fit


[User] What does r = -0.85 indicate?

[Assistant] Correlation coefficient


[User] Actual = 30, predicted = 28, find residual

[Assistant] Residuals


[User] Compare: median 12 vs median 18

[Assistant] Box plots


[User] More spread: IQR = 3 or IQR = 12?

[Assistant] Variability


[User] Probability of drawing a diamond from deck

[Assistant] Probability


[User] Histogram for: 8, 10, 12, 8, 14, 10, 12, 8

[Assistant] Histograms


[User] Third quartile: 6, 12, 18, 24, 30, 36, 42?

[Assistant] Quartiles


[User] Interpret: moderate positive correlation

[Assistant] Correlation


[User] Standard deviation measures spread around what?

[Assistant] Standard deviation


[User] Better prediction: r = 0.4 or r = 0.7?

[Assistant] Correlation coefficient


[User] What do clustered residuals suggest?

[Assistant] Residual plots


[User] Solve: 4/9 = 16/x

[Assistant] Proportions


[User] Cross multiply: x/y = z/w

[Assistant] Cross multiplication


[User] If 15 books cost $45, what do 8 books cost?

[Assistant] Proportions


[User] Solve: (x-2)/4 = (x+1)/6

[Assistant] Rational equations


[User] Recipe for 8 needs 3 cups sugar. How much for 12?

[Assistant] Proportions


[User] Evaluate: 48 ÷ 6 + 5 * 3

[Assistant] Order of operations


[User] What is |-8 + 3|?

[Assistant] Absolute value


[User] Translate: 'five more than three times a number'

[Assistant] Writing expressions


[User] What is the multiplicative inverse of 2/3?

[Assistant] Inverse properties


[User] Which property: (a + b) + c = a + (b + c)?

[Assistant] Associative property


[User] Solve compound: -1 < 2x - 3 <= 7

[Assistant] Compound inequalities


[User] Find slope perpendicular to y = -3/4x + 1

[Assistant] Perpendicular lines


[User] Convert 4.25 hours to minutes

[Assistant] Unit conversions


[User] Is y = |x| a function?

[Assistant] Function definition


[User] Find a_1 if a_15 = 71 and d = 5

[Assistant] Arithmetic sequences


[User] Which decreases fastest: linear, quadratic, or exponential decay?

[Assistant] Function types


[User] Sum first 7 terms: 1, 5, 9, 13, ...

[Assistant] Arithmetic series


[User] State the zero product property

[Assistant] Zero product property


[User] Solve: (x+3)(x-8) = 0

[Assistant] Zero product property


[User] Factor: x^2 - 14x + 49

[Assistant] Perfect square trinomials


[User] What constraints define feasible region?

[Assistant] Linear programming


[User] Combine: 12a - 7a + 3a

[Assistant] Combining like terms


[User] Distribute: -4(2x + 5)

[Assistant] Distributive property


[User] Solve: 6x + 7 = 43

[Assistant] Two-step equations


[User] Find x: 7x + 2 = 3x + 18

[Assistant] Variables on both sides


[User] Solve: 4(x - 3) = 20

[Assistant] Multi-step equations


[User] Isolate h: V = πr²h

[Assistant] Literal equations


[User] Solve: 2x/3 + 1 = 7

[Assistant] Equations with fractions


[User] Find where 4x + 5 < 21

[Assistant] Linear inequalities


[User] Solve: -3x - 2 >= 10

[Assistant] Linear inequalities


[User] Solutions to |x - 4| = 9

[Assistant] Absolute value equations


[User] Solve: |2x + 3| < 7

[Assistant] Absolute value inequalities


[User] Graph: x >= -1 on number line

[Assistant] Graphing inequalities


[User] Convert 720 minutes to hours

[Assistant] Unit conversions


[User] A train travels 300 miles in 5 hours. Find rate

[Assistant] Unit rates


[User] Convert 4 feet 8 inches to inches

[Assistant] Unit conversions


[User] If 25 oranges cost $10, what is cost per orange?

[Assistant] Unit rates


[User] Measurement 42.7 mm with error +/- 0.3 mm. Find percent error

[Assistant] Percent error


[User] Is {(1,4), (2,5), (1,6)} a function?

[Assistant] Function definition


[User] Domain of g(x) = sqrt(2x - 6)?

[Assistant] Domain and range


[User] Range of h(x) = -x² + 9

[Assistant] Domain and range


[User] If p(x) = 4x - 7, find p(3)

[Assistant] Function evaluation


[User] Which function type has constant second differences?

[Assistant] Function types


[User] Domain of f(x) = 1/(x + 5)?

[Assistant] Domain and range


[User] If f(-1) = 8, what point is on graph?

[Assistant] Function notation


[User] Slope between (-2, 4) and (1, -2)

[Assistant] Slope


[User] Slope of y = -2/3x + 5?

[Assistant] Slope-intercept form


[User] Equation with slope 3/4 through (8, -1)

[Assistant] Point-slope form


[User] Convert to slope-intercept: 3x + 4y = 12

[Assistant] Slope-intercept form


[User] X-intercept of 4x - 3y = 24

[Assistant] X-intercepts


[User] Graph y = -2x + 3

[Assistant] Graphing lines