question
stringlengths 16
86
| problem
stringclasses 8
values | how_to_solve
stringlengths 18
82
| answer
stringlengths 1
20
|
|---|---|---|---|
Solve for x: 1(x + 1) = -10
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
Solve: |-5x + -5| ≤ 15
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-4 ≤ x ≤ 2
|
If each item costs 7 dollars and the total cost is 105, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
15
|
Solve: |-4x + -4| ≤ 20
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-6 ≤ x ≤ 4
|
Solve for x: -8x + -11 = 133
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
If each item costs -2 dollars and the total cost is 22, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-11
|
Solve for x: -11x + 14 = 3
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
1
|
Solve: |-6x + -12| = 7
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: -10x + 11 = -129
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
14
|
Solve for x: 8(x + 15) = 56
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-8
|
Solve: |-4x + -3| ≤ 20
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-5 ≤ x ≤ 4
|
Solve for x: 7(x + -7) = 42
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
Solve: 4x + 0 ≤ -48
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -12
|
What is -22% of 0?
|
Compute the percent value (integer-safe).
|
Compute -22/100 × 0.
|
0
|
Solve for x: -4(x + -13) = 112
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
Solve for x: -1(x + 6) = -16
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
If each item costs 20 dollars and the total cost is -60, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
Solve for x: 5x + -26 = 14
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
8
|
Solve: |-3x + -2| = 12
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
If each item costs 19 dollars and the total cost is -171, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-9
|
Solve: |3x + 16| ≤ 6
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-7 ≤ x ≤ -4
|
Solve: |8x + -5| = 11
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
2
|
If each item costs 11 dollars and the total cost is 0, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
0
|
What is 108% of 175?
|
Compute the percent value (integer-safe).
|
Compute 108/100 × 175.
|
189
|
Solve: |6x + -5| ≤ 5
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
0 ≤ x ≤ 1
|
If each item costs 16 dollars and the total cost is 208, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
13
|
Simplify: 5x + 1x + -3y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
6x - 3y
|
Solve: |1x + 20| ≤ 4
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-24 ≤ x ≤ -16
|
Solve: -1x + -15 ≥ -12
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -3
|
What is 3% of 900?
|
Compute the percent value (integer-safe).
|
Compute 3/100 × 900.
|
27
|
Simplify: 7x + 6x + 3y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
13x + 3y
|
If each item costs 20 dollars and the total cost is 120, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
6
|
Solve: -10x + -11 ≥ 119
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -13
|
If each item costs 0 dollars and the total cost is 0, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
27
|
Solve for x: 7(x + 10) = -28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
Solve for x: -3x + 1 = 34
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-11
|
What is 54% of 350?
|
Compute the percent value (integer-safe).
|
Compute 54/100 × 350.
|
189
|
Solve for x: 10x + 0 = 100
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
Solve for x: -10x + -14 = 76
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
Solve: |1x + 3| ≤ 10
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-13 ≤ x ≤ 7
|
Solve for x: 9x + -13 = -148
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
Solve: -2x + 8 > 22
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -7
|
Solve for x: 1(x + -5) = -3
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
2
|
Solve: |3x + -2| ≤ 6
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-1 ≤ x ≤ 2
|
Solve for x: -7(x + 15) = -98
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
Simplify: 7x + -2x + 4y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
5x + 4y
|
Solve: |6x + -19| ≤ 12
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
2 ≤ x ≤ 5
|
Simplify: 8x + 6x + -4y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
14x - 4y
|
Simplify: -1x + -7x + -3y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-8x - 3y
|
What is 149% of 300?
|
Compute the percent value (integer-safe).
|
Compute 149/100 × 300.
|
447
|
Solve for x: -1x + -13 = 6
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-19
|
If each item costs 2 dollars and the total cost is -32, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-16
|
Solve: |-8x + -3| ≤ 1
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
no integer solutions
|
Solve: |-4x + -10| = 5
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: |-7x + 12| = 13
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Simplify: 5x + -8x + 4y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-3x + 4y
|
Solve: |-7x + 15| = 12
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: |5x + -10| = 14
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Simplify: 5x + -2x + 8y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
3x + 8y
|
Solve for x: -6x + -18 = 102
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-20
|
Solve for x: 8(x + -4) = -104
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
Solve: |-7x + 9| ≤ 14
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
0 ≤ x ≤ 3
|
Simplify: 6x + 6x + 3y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
12x + 3y
|
If each item costs -4 dollars and the total cost is 52, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-13
|
Solve for x: 8(x + 1) = -80
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
What is 35% of 40?
|
Compute the percent value (integer-safe).
|
Compute 35/100 × 40.
|
14
|
Simplify: 0x + 8x + -2y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
8x - 2y
|
Simplify: -5x + -5x + -2y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-10x - 2y
|
What is 32% of 100?
|
Compute the percent value (integer-safe).
|
Compute 32/100 × 100.
|
32
|
If each item costs -9 dollars and the total cost is 18, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-2
|
What is 18% of 500?
|
Compute the percent value (integer-safe).
|
Compute 18/100 × 500.
|
90
|
Solve for x: -3(x + -5) = 24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
What is 131% of 800?
|
Compute the percent value (integer-safe).
|
Compute 131/100 × 800.
|
1048
|
Solve for x: -10x + 18 = -102
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
12
|
Solve: |5x + 18| ≤ 15
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-6 ≤ x ≤ -1
|
Solve: |-4x + 15| ≤ 17
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
0 ≤ x ≤ 8
|
Solve: |-1x + 7| ≤ 0
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
7 ≤ x ≤ 7
|
What is -24% of 25?
|
Compute the percent value (integer-safe).
|
Compute -24/100 × 25.
|
-6
|
Solve for x: -1x + -17 = -9
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-8
|
What is 93% of 300?
|
Compute the percent value (integer-safe).
|
Compute 93/100 × 300.
|
279
|
What is -16% of 125?
|
Compute the percent value (integer-safe).
|
Compute -16/100 × 125.
|
-20
|
Solve for x: -12x + 28 = 232
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
Simplify: -2x + -6x + 8y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-8x + 8y
|
Solve for x: 7x + 4 = -122
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
Simplify: -1x + -2x + -6y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-3x - 6y
|
Simplify: 4x + 3x + -1y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
7x - 1y
|
Solve: |-2x + 0| ≤ 1
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
0 ≤ x ≤ 0
|
Solve for x: -2(x + 1) = 26
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
Solve for x: 1x + -24 = -44
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-20
|
What is 78% of 500?
|
Compute the percent value (integer-safe).
|
Compute 78/100 × 500.
|
390
|
Solve: |-2x + -20| ≤ 3
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-11 ≤ x ≤ -9
|
Solve: -2x + -13 > -11
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -1
|
If each item costs 7 dollars and the total cost is -21, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
Solve: -5x + -2 ≥ 53
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -11
|
Solve for x: 3(x + 7) = 9
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
Solve for x: -6(x + -5) = 60
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
Solve: 2x + -2 ≤ 22
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 12
|
Solve: |-6x + -15| ≤ 19
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-5 ≤ x ≤ 0
|
Simplify: -8x + -4x + -5y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-12x - 5y
|
If each item costs 3 dollars and the total cost is 39, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
13
|
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