question
stringlengths 16
86
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stringclasses 8
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stringlengths 18
82
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stringlengths 1
20
|
|---|---|---|---|
Solve: |-4x + -13| = 13
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
0
|
Simplify: 7x + -3x + -5y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
4x - 5y
|
Simplify: 5x + 6x + 6y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
11x + 6y
|
Solve: 4x + -14 ≤ -58
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -11
|
Solve for x: -1x + -19 = -32
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
13
|
If each item costs 10 dollars and the total cost is 40, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
4
|
Solve: |-1x + -1| ≤ 17
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-18 ≤ x ≤ 16
|
Solve for x: -4(x + -11) = 80
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
Solve: |-7x + 3| = 17
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
-2
|
Solve: |-8x + 18| ≤ 13
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
1 ≤ x ≤ 3
|
Solve for x: -1(x + 2) = -5
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
Simplify: -1x + 0x + -3y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-1x - 3y
|
What is 118% of 150?
|
Compute the percent value (integer-safe).
|
Compute 118/100 × 150.
|
177
|
Solve: |2x + 15| ≤ 1
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-8 ≤ x ≤ -7
|
What is 136% of 75?
|
Compute the percent value (integer-safe).
|
Compute 136/100 × 75.
|
102
|
What is 105% of 0?
|
Compute the percent value (integer-safe).
|
Compute 105/100 × 0.
|
0
|
Solve: 2x + 4 > 0
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -2
|
Simplify: 5x + 2x + -7y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
7x - 7y
|
Solve: |5x + -19| ≤ 1
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
4 ≤ x ≤ 4
|
If each item costs -10 dollars and the total cost is -30, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
3
|
Solve for x: 7(x + 7) = -21
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
Simplify: -1x + 3x + 1y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
2x + 1y
|
What is 26% of 0?
|
Compute the percent value (integer-safe).
|
Compute 26/100 × 0.
|
0
|
What is -28% of 75?
|
Compute the percent value (integer-safe).
|
Compute -28/100 × 75.
|
-21
|
Solve: |-7x + 1| = 14
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: -12x + -17 = -41
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
Solve: |-7x + 3| ≤ 4
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
0 ≤ x ≤ 1
|
Simplify: -2x + -8x + 6y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-10x + 6y
|
Solve: -6x + 17 < 107
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -15
|
If each item costs -3 dollars and the total cost is -63, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
21
|
Solve: 7x + -18 > -74
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -8
|
Simplify: -2x + -5x + -6y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-7x - 6y
|
Simplify: 7x + 4x + 7y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
11x + 7y
|
Solve: 3x + 2 ≥ 41
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 13
|
Solve: |1x + -7| = 5
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
12, 2
|
Solve for x: 1(x + 10) = 5
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
If each item costs 16 dollars and the total cost is -144, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-9
|
What is 31% of 500?
|
Compute the percent value (integer-safe).
|
Compute 31/100 × 500.
|
155
|
Solve for x: -11x + 17 = 116
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-9
|
Solve: |7x + -14| ≤ 6
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
2 ≤ x ≤ 2
|
Simplify: -7x + -1x + -1y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-8x - 1y
|
Solve for x: 1(x + -5) = -9
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
Solve for x: 1(x + -11) = -3
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
Solve for x: -2x + 4 = -20
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
12
|
Simplify: 2x + 2x + -7y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
4x - 7y
|
Solve: |-7x + 18| ≤ 8
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
2 ≤ x ≤ 3
|
Solve for x: 3(x + -8) = -3
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
7
|
Solve for x: -4(x + 11) = -88
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is 116% of 75?
|
Compute the percent value (integer-safe).
|
Compute 116/100 × 75.
|
87
|
Solve for x: -8x + 25 = -95
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
15
|
Solve for x: 1(x + -11) = -26
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-15
|
Solve: -7x + -13 ≤ 64
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -11
|
Solve: 6x + -12 ≤ -12
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 0
|
Solve for x: 9x + 7 = -47
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-6
|
Solve for x: -1(x + 2) = -12
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
What is -23% of 0?
|
Compute the percent value (integer-safe).
|
Compute -23/100 × 0.
|
0
|
Solve for x: -2x + 5 = 25
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-10
|
Solve: 4x + 0 > -24
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -6
|
If each item costs 4 dollars and the total cost is 0, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
0
|
Solve: |-8x + 1| = 5
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve: |-2x + -10| ≤ 12
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-11 ≤ x ≤ 1
|
If each item costs 2 dollars and the total cost is -24, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-12
|
Solve for x: 5x + 4 = 79
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
15
|
If each item costs 3 dollars and the total cost is -15, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-5
|
Solve for x: -4(x + -1) = -56
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
Solve: |1x + 1| ≤ 1
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-2 ≤ x ≤ 0
|
What is 15% of 140?
|
Compute the percent value (integer-safe).
|
Compute 15/100 × 140.
|
21
|
Solve: |-1x + 10| = 5
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
5, 15
|
What is 79% of 600?
|
Compute the percent value (integer-safe).
|
Compute 79/100 × 600.
|
474
|
Simplify: -6x + -2x + 4y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
-8x + 4y
|
Solve: -8x + -9 < -57
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 6
|
Solve: 8x + 7 ≤ -9
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -2
|
Solve: |5x + 6| ≤ 14
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-4 ≤ x ≤ 1
|
If each item costs 9 dollars and the total cost is 36, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
4
|
Solve: 9x + 16 < -146
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -18
|
Solve: 7x + 7 ≤ -98
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -15
|
Simplify: 7x + 2x + 6y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
9x + 6y
|
Solve for x: -8(x + -7) = 48
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
Solve: 4x + -10 < 26
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 9
|
Solve for x: 8(x + 0) = 16
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
2
|
Solve for x: 7x + -1 = -15
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-2
|
If each item costs -8 dollars and the total cost is -88, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
11
|
Solve: |7x + -7| = 7
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
2, 0
|
What is -7% of 300?
|
Compute the percent value (integer-safe).
|
Compute -7/100 × 300.
|
-21
|
Solve for x: -1x + -10 = 7
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
Solve: |-1x + 10| ≤ 9
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
1 ≤ x ≤ 19
|
If each item costs 10 dollars and the total cost is 180, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
18
|
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.
|
8
|
Solve: |7x + 11| = 11
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
0
|
Solve: |5x + 2| = 5
|
Find integer solutions x, if any.
|
Set inside equal to ±c and solve both linear equations.
|
no integer solutions
|
Solve for x: 10x + -30 = 140
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
17
|
Solve for x: 5x + -22 = 63
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
17
|
Solve: |-7x + 7| ≤ 17
|
Find integer range of x satisfying the absolute inequality.
|
Isolate and produce interval then take integer bounds.
|
-1 ≤ x ≤ 3
|
If each item costs -8 dollars and the total cost is -216, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
27
|
If each item costs -4 dollars and the total cost is -36, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
9
|
Solve for x: 7(x + 8) = -42
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
Solve for x: -1x + 2 = -16
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
18
|
Simplify: 2x + 5x + 2y
|
Combine like terms.
|
Add coefficients of like terms (x with x, y with y).
|
7x + 2y
|
Solve: 8x + -11 ≤ -99
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -11
|
If each item costs 15 dollars and the total cost is 285, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
19
|
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