DataMuncher-Labs/SAReasoning-4000000 · Datasets at Hugging Face

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
If each item costs -3 dollars and the total cost is -51, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	17
Solve: \|-6x + 6\| = 2	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
If each item costs 17 dollars and the total cost is -187, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-11
Solve: -6x + 1 < 1	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < 0
Solve for x: 6(x + 4) = -60	Solve a two-step equation.	Divide both sides by a, then subtract b.	-14
Solve: 9x + -1 ≥ -19	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -2
Solve for x: 3x + -15 = -15	Solve the linear equation.	Subtract b from both sides, then divide by a.	0
What is 0% of 5?	Compute the percent value (integer-safe).	Compute 0/100 × 5.	0
What is 24% of 0?	Compute the percent value (integer-safe).	Compute 24/100 × 0.	0
Solve: \|-8x + -15\| = 2	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: -6x + 7 > -29	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 6
What is 97% of 300?	Compute the percent value (integer-safe).	Compute 97/100 × 300.	291
Solve for x: 6x + 30 = -18	Solve the linear equation.	Subtract b from both sides, then divide by a.	-8
Solve for x: -7x + -14 = 105	Solve the linear equation.	Subtract b from both sides, then divide by a.	-17
Solve: -10x + -18 > -98	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 8
Simplify: -7x + 3x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x - 5y
What is -22% of 50?	Compute the percent value (integer-safe).	Compute -22/100 × 50.	-11
If each item costs 17 dollars and the total cost is 119, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	7
Solve for x: -3(x + 12) = -33	Solve a two-step equation.	Divide both sides by a, then subtract b.	-1
If each item costs -2 dollars and the total cost is -30, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	15
Solve: -1x + 6 ≥ -1	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 7
Solve for x: -6(x + 1) = -6	Solve a two-step equation.	Divide both sides by a, then subtract b.	0
What is 32% of 25?	Compute the percent value (integer-safe).	Compute 32/100 × 25.	8
Solve: \|-8x + -10\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ -1
Simplify: 6x + 3x + -8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	9x - 8y
Solve: 3x + -7 ≤ 11	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 6
Solve for x: 6(x + 5) = 108	Solve a two-step equation.	Divide both sides by a, then subtract b.	13
If each item costs 15 dollars and the total cost is 360, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	24
What is 66% of 250?	Compute the percent value (integer-safe).	Compute 66/100 × 250.	165
Simplify: -6x + 5x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-1x - 6y
What is 42% of 400?	Compute the percent value (integer-safe).	Compute 42/100 × 400.	168
Solve: \|6x + -1\| ≤ 6	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 1
Simplify: 0x + 6x + -3y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	6x - 3y
Solve for x: 3x + -11 = -26	Solve the linear equation.	Subtract b from both sides, then divide by a.	-5
Solve for x: 6(x + 7) = 30	Solve a two-step equation.	Divide both sides by a, then subtract b.	-2
What is 41% of 800?	Compute the percent value (integer-safe).	Compute 41/100 × 800.	328
Solve: \|-6x + -7\| = 11	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-3
Simplify: -1x + -3x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x + 6y
Solve for x: -12x + -13 = -73	Solve the linear equation.	Subtract b from both sides, then divide by a.	5
Simplify: 1x + -8x + -2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-7x - 2y
Simplify: 0x + 3x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	3x - 5y
What is 85% of 0?	Compute the percent value (integer-safe).	Compute 85/100 × 0.	0
Simplify: 8x + -3x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	5x - 4y
Solve for x: 8(x + 15) = 32	Solve a two-step equation.	Divide both sides by a, then subtract b.	-11
Simplify: -4x + 0x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x
If each item costs 9 dollars and the total cost is 90, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	10
If each item costs -4 dollars and the total cost is -48, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	12
What is 62% of 0?	Compute the percent value (integer-safe).	Compute 62/100 × 0.	0
Solve for x: -3x + -1 = 2	Solve the linear equation.	Subtract b from both sides, then divide by a.	-1
Solve for x: 5(x + 5) = 30	Solve a two-step equation.	Divide both sides by a, then subtract b.	1
Solve: -9x + 1 > -179	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 20
Solve: \|8x + 0\| = 13	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
What is 50% of 10?	Compute the percent value (integer-safe).	Compute 50/100 × 10.	5
If each item costs 4 dollars and the total cost is -32, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-8
Solve for x: 1(x + 14) = 14	Solve a two-step equation.	Divide both sides by a, then subtract b.	0
Solve for x: -7(x + -4) = 105	Solve a two-step equation.	Divide both sides by a, then subtract b.	-11
Simplify: -1x + 3x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x - 4y
Solve: \|-3x + -10\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
What is 115% of 140?	Compute the percent value (integer-safe).	Compute 115/100 × 140.	161
Solve for x: -7(x + -1) = -49	Solve a two-step equation.	Divide both sides by a, then subtract b.	8
What is 84% of 0?	Compute the percent value (integer-safe).	Compute 84/100 × 0.	0
Solve for x: -6x + 26 = -28	Solve the linear equation.	Subtract b from both sides, then divide by a.	9
What is -35% of 100?	Compute the percent value (integer-safe).	Compute -35/100 × 100.	-35
What is 29% of 400?	Compute the percent value (integer-safe).	Compute 29/100 × 400.	116
Solve for x: 8(x + 2) = 56	Solve a two-step equation.	Divide both sides by a, then subtract b.	5
Solve: \|-2x + -11\| = 17	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-14, 3
Solve: \|-7x + -13\| = 13	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	0
Solve for x: 11x + -23 = 32	Solve the linear equation.	Subtract b from both sides, then divide by a.	5
Solve: -8x + -11 > -43	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 4
Simplify: -6x + 5x + -2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-1x - 2y
What is 129% of 0?	Compute the percent value (integer-safe).	Compute 129/100 × 0.	0
Solve: 3x + -4 ≥ -37	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -11
Solve: 9x + -9 > 36	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 5
Solve: \|-7x + 10\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	4
Solve: \|6x + -2\| ≤ 20	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 3
If each item costs 18 dollars and the total cost is 414, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	23
Simplify: -1x + -1x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x - 7y
Simplify: 5x + -3x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x + 7y
Solve for x: 5(x + 10) = 80	Solve a two-step equation.	Divide both sides by a, then subtract b.	6
If each item costs 17 dollars and the total cost is 306, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	18
Solve: \|7x + 15\| ≤ 12	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -1
Solve: \|4x + 12\| ≤ 13	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-6 ≤ x ≤ 0
Solve for x: 4x + 29 = -43	Solve the linear equation.	Subtract b from both sides, then divide by a.	-18
If each item costs 1 dollars and the total cost is 2, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	2
Solve: \|5x + 5\| = 9	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Simplify: 5x + -7x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x - 4y
Solve: \|8x + 7\| ≤ 18	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 1
Simplify: -8x + -4x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-12x + 7y
Solve for x: -11x + 8 = -3	Solve the linear equation.	Subtract b from both sides, then divide by a.	1
Solve: \|-7x + 1\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: -4x + 12 = -68	Solve the linear equation.	Subtract b from both sides, then divide by a.	20
Simplify: 0x + 2x + 2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x + 2y
Solve: \|-3x + -10\| ≤ 1	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -3
What is 57% of 200?	Compute the percent value (integer-safe).	Compute 57/100 × 200.	114
Simplify: -5x + -6x + 5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-11x + 5y
Simplify: 4x + -1x + -7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	3x - 7y
Solve: \|-1x + 13\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	11 ≤ x ≤ 15
Simplify: 4x + -8x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x
Solve for x: -1(x + 12) = -13	Solve a two-step equation.	Divide both sides by a, then subtract b.	1
If each item costs -8 dollars and the total cost is -160, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	20

If each item costs -3 dollars and the total cost is -51, how many items were bought?

Solve using algebra.

Divide total cost by price per item.

17

Solve: |-6x + 6| = 2

Find integer solutions x, if any.

Set inside equal to ±c and solve both linear equations.

no integer solutions

If each item costs 17 dollars and the total cost is -187, how many items were bought?

Solve using algebra.

Divide total cost by price per item.

-11

Solve: -6x + 1 < 1

Solve the inequality.

Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).

x < 0

Solve for x: 6(x + 4) = -60

Solve a two-step equation.

Divide both sides by a, then subtract b.

-14

Solve: 9x + -1 ≥ -19

Solve the inequality.

Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).

x ≥ -2

Solve for x: 3x + -15 = -15

Solve the linear equation.

Subtract b from both sides, then divide by a.

0

What is 0% of 5?

Compute the percent value (integer-safe).

Compute 0/100 × 5.

0

What is 24% of 0?

Compute the percent value (integer-safe).

Compute 24/100 × 0.

0

Solve: |-8x + -15| = 2

Find integer solutions x, if any.

Set inside equal to ±c and solve both linear equations.

no integer solutions

Solve: -6x + 7 > -29

Solve the inequality.

Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).

x > 6

What is 97% of 300?

Compute the percent value (integer-safe).

Compute 97/100 × 300.

291

Solve for x: 6x + 30 = -18

Solve the linear equation.

Subtract b from both sides, then divide by a.

-8

Solve for x: -7x + -14 = 105

Solve the linear equation.

Subtract b from both sides, then divide by a.

-17

Solve: -10x + -18 > -98

Solve the inequality.

Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).

x > 8

Simplify: -7x + 3x + -5y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

-4x - 5y

What is -22% of 50?

Compute the percent value (integer-safe).

Compute -22/100 × 50.

-11

If each item costs 17 dollars and the total cost is 119, how many items were bought?

Solve using algebra.

Divide total cost by price per item.

7

Solve for x: -3(x + 12) = -33

Solve a two-step equation.

Divide both sides by a, then subtract b.

-1

If each item costs -2 dollars and the total cost is -30, how many items were bought?

Solve using algebra.

Divide total cost by price per item.

15

Solve: -1x + 6 ≥ -1

Solve the inequality.

Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).

x ≥ 7

Solve for x: -6(x + 1) = -6

Solve a two-step equation.

Divide both sides by a, then subtract b.

0

What is 32% of 25?

Compute the percent value (integer-safe).

Compute 32/100 × 25.

8

Solve: |-8x + -10| ≤ 6

Find integer range of x satisfying the absolute inequality.

Isolate and produce interval then take integer bounds.

-2 ≤ x ≤ -1

Simplify: 6x + 3x + -8y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

9x - 8y

Solve: 3x + -7 ≤ 11

Solve the inequality.

Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).

x ≤ 6

Solve for x: 6(x + 5) = 108

Solve a two-step equation.

Divide both sides by a, then subtract b.

13

If each item costs 15 dollars and the total cost is 360, how many items were bought?

Solve using algebra.

Divide total cost by price per item.

24

What is 66% of 250?

Compute the percent value (integer-safe).

Compute 66/100 × 250.

165

Simplify: -6x + 5x + -6y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

-1x - 6y

What is 42% of 400?

Compute the percent value (integer-safe).

Compute 42/100 × 400.

168

Solve: |6x + -1| ≤ 6

Find integer range of x satisfying the absolute inequality.

Isolate and produce interval then take integer bounds.

0 ≤ x ≤ 1

Simplify: 0x + 6x + -3y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

6x - 3y

Solve for x: 3x + -11 = -26

Solve the linear equation.

Subtract b from both sides, then divide by a.

-5

Solve for x: 6(x + 7) = 30

Solve a two-step equation.

Divide both sides by a, then subtract b.

-2

What is 41% of 800?

Compute the percent value (integer-safe).

Compute 41/100 × 800.

328

Solve: |-6x + -7| = 11

Find integer solutions x, if any.

Set inside equal to ±c and solve both linear equations.

-3

Simplify: -1x + -3x + 6y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

-4x + 6y

Solve for x: -12x + -13 = -73

Solve the linear equation.

Subtract b from both sides, then divide by a.

5

Simplify: 1x + -8x + -2y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

-7x - 2y

Simplify: 0x + 3x + -5y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

3x - 5y

What is 85% of 0?

Compute the percent value (integer-safe).

Compute 85/100 × 0.

0

Simplify: 8x + -3x + -4y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

5x - 4y

Solve for x: 8(x + 15) = 32

Solve a two-step equation.

Divide both sides by a, then subtract b.

-11

Simplify: -4x + 0x + 0y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

-4x

If each item costs 9 dollars and the total cost is 90, how many items were bought?

Solve using algebra.

Divide total cost by price per item.

10

If each item costs -4 dollars and the total cost is -48, how many items were bought?

Solve using algebra.

Divide total cost by price per item.

12

What is 62% of 0?

Compute the percent value (integer-safe).

Compute 62/100 × 0.

0

Solve for x: -3x + -1 = 2

Solve the linear equation.

Subtract b from both sides, then divide by a.

-1

Solve for x: 5(x + 5) = 30

Solve a two-step equation.

Divide both sides by a, then subtract b.

1

Solve: -9x + 1 > -179

Solve the inequality.

Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).

x > 20

Solve: |8x + 0| = 13

Find integer solutions x, if any.

Set inside equal to ±c and solve both linear equations.

no integer solutions

What is 50% of 10?

Compute the percent value (integer-safe).

Compute 50/100 × 10.

5

If each item costs 4 dollars and the total cost is -32, how many items were bought?

Solve using algebra.

Divide total cost by price per item.

-8

Solve for x: 1(x + 14) = 14

Solve a two-step equation.

Divide both sides by a, then subtract b.

0

Solve for x: -7(x + -4) = 105

Solve a two-step equation.

Divide both sides by a, then subtract b.

-11

Simplify: -1x + 3x + -4y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

2x - 4y

Solve: |-3x + -10| = 0

Find integer solutions x, if any.

Set inside equal to ±c and solve both linear equations.

no integer solutions

What is 115% of 140?

Compute the percent value (integer-safe).

Compute 115/100 × 140.

161

Solve for x: -7(x + -1) = -49

Solve a two-step equation.

Divide both sides by a, then subtract b.

8

What is 84% of 0?

Compute the percent value (integer-safe).

Compute 84/100 × 0.

0

Solve for x: -6x + 26 = -28

Solve the linear equation.

Subtract b from both sides, then divide by a.

9

What is -35% of 100?

Compute the percent value (integer-safe).

Compute -35/100 × 100.

-35

What is 29% of 400?

Compute the percent value (integer-safe).

Compute 29/100 × 400.

116

Solve for x: 8(x + 2) = 56

Solve a two-step equation.

Divide both sides by a, then subtract b.

5

Solve: |-2x + -11| = 17

Find integer solutions x, if any.

Set inside equal to ±c and solve both linear equations.

-14, 3

Solve: |-7x + -13| = 13

Find integer solutions x, if any.

Set inside equal to ±c and solve both linear equations.

0

Solve for x: 11x + -23 = 32

Solve the linear equation.

Subtract b from both sides, then divide by a.

5

Solve: -8x + -11 > -43

Solve the inequality.

Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).

x > 4

Simplify: -6x + 5x + -2y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

-1x - 2y

What is 129% of 0?

Compute the percent value (integer-safe).

Compute 129/100 × 0.

0

Solve: 3x + -4 ≥ -37

Solve the inequality.

Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).

x ≥ -11

Solve: 9x + -9 > 36

Solve the inequality.

Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).

x > 5

Solve: |-7x + 10| = 18

Find integer solutions x, if any.

Set inside equal to ±c and solve both linear equations.

4

Solve: |6x + -2| ≤ 20

Find integer range of x satisfying the absolute inequality.

Isolate and produce interval then take integer bounds.

-3 ≤ x ≤ 3

If each item costs 18 dollars and the total cost is 414, how many items were bought?

Solve using algebra.

Divide total cost by price per item.

23

Simplify: -1x + -1x + -7y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

-2x - 7y

Simplify: 5x + -3x + 7y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

2x + 7y

Solve for x: 5(x + 10) = 80

Solve a two-step equation.

Divide both sides by a, then subtract b.

6

If each item costs 17 dollars and the total cost is 306, how many items were bought?

Solve using algebra.

Divide total cost by price per item.

18

Solve: |7x + 15| ≤ 12

Find integer range of x satisfying the absolute inequality.

Isolate and produce interval then take integer bounds.

-3 ≤ x ≤ -1

Solve: |4x + 12| ≤ 13

Find integer range of x satisfying the absolute inequality.

Isolate and produce interval then take integer bounds.

-6 ≤ x ≤ 0

Solve for x: 4x + 29 = -43

Solve the linear equation.

Subtract b from both sides, then divide by a.

-18

If each item costs 1 dollars and the total cost is 2, how many items were bought?

Solve using algebra.

Divide total cost by price per item.

2

Solve: |5x + 5| = 9

Find integer solutions x, if any.

Set inside equal to ±c and solve both linear equations.

no integer solutions

Simplify: 5x + -7x + -4y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

-2x - 4y

Solve: |8x + 7| ≤ 18

Find integer range of x satisfying the absolute inequality.

Isolate and produce interval then take integer bounds.

-3 ≤ x ≤ 1

Simplify: -8x + -4x + 7y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

-12x + 7y

Solve for x: -11x + 8 = -3

Solve the linear equation.

Subtract b from both sides, then divide by a.

1

Solve: |-7x + 1| = 18

Find integer solutions x, if any.

Set inside equal to ±c and solve both linear equations.

no integer solutions

Solve for x: -4x + 12 = -68

Solve the linear equation.

Subtract b from both sides, then divide by a.

20

Simplify: 0x + 2x + 2y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

2x + 2y

Solve: |-3x + -10| ≤ 1

Find integer range of x satisfying the absolute inequality.

Isolate and produce interval then take integer bounds.

-3 ≤ x ≤ -3

What is 57% of 200?

Compute the percent value (integer-safe).

Compute 57/100 × 200.

114

Simplify: -5x + -6x + 5y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

-11x + 5y

Simplify: 4x + -1x + -7y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

3x - 7y

Solve: |-1x + 13| ≤ 2

Find integer range of x satisfying the absolute inequality.

Isolate and produce interval then take integer bounds.

11 ≤ x ≤ 15

Simplify: 4x + -8x + 0y

Combine like terms.

Add coefficients of like terms (x with x, y with y).

-4x

Solve for x: -1(x + 12) = -13

Solve a two-step equation.

Divide both sides by a, then subtract b.

1

If each item costs -8 dollars and the total cost is -160, how many items were bought?

Solve using algebra.

Divide total cost by price per item.

20