question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve for x: 10x + -23 = -113 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -9 |
Solve: -6x + 11 ≤ 17 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -1 |
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. | 25 |
Solve for x: -7(x + 15) = -168 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
What is 3% of 1000? | Compute the percent value (integer-safe). | Compute 3/100 × 1000. | 30 |
Solve for x: -1x + 17 = 20 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Solve: 4x + 5 ≥ 33 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 7 |
If each item costs 12 dollars and the total cost is -108, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -9 |
Solve: |-8x + -14| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
What is 64% of 200? | Compute the percent value (integer-safe). | Compute 64/100 × 200. | 128 |
Solve for x: 6(x + -8) = -102 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
What is 116% of 75? | Compute the percent value (integer-safe). | Compute 116/100 × 75. | 87 |
Solve: |-6x + 12| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 4 |
Simplify: 6x + 8x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 14x + 4y |
Solve for x: 12x + -28 = 56 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 7 |
Solve: |6x + 4| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -2x + 5 < 23 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -9 |
Solve for x: -4(x + 1) = 40 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
If each item costs 6 dollars and the total cost is 90, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 15 |
Simplify: -1x + 1x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3y |
Solve for x: -3(x + -3) = 24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Solve for x: 1(x + -13) = -11 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
Solve for x: 6(x + -15) = -162 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve for x: -5(x + 7) = -35 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
Solve: -4x + 18 > 98 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -20 |
If each item costs 13 dollars and the total cost is 390, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 30 |
Solve: |8x + 7| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ -1 |
Solve for x: 7(x + 13) = 147 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve: |-3x + 8| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3 |
What is 133% of 500? | Compute the percent value (integer-safe). | Compute 133/100 × 500. | 665 |
Solve for x: 1(x + 5) = 18 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve: |-3x + 18| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 10 |
Solve: -1x + -2 > 3 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -5 |
Solve: |1x + -10| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 24, -4 |
Solve for x: 5(x + 1) = 35 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
Solve for x: -2(x + 11) = -8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve: |8x + -14| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 4 |
Solve for x: 2(x + -3) = -18 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
Solve: |-7x + 13| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 3 |
Solve for x: -2(x + -7) = -4 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve: |-4x + -14| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ -1 |
If each item costs -4 dollars and the total cost is -72, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 18 |
What is -31% of 700? | Compute the percent value (integer-safe). | Compute -31/100 × 700. | -217 |
Solve: |-7x + -14| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -1 |
Solve for x: 12x + -27 = 93 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
Solve: |-1x + -11| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -15, -7 |
Simplify: 7x + 0x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x + 5y |
Solve: 8x + 12 < -4 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -2 |
Solve: |6x + 9| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 0 |
Simplify: -3x + -2x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x + 8y |
Simplify: 8x + 4x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 12x + 4y |
Solve: 10x + 12 ≥ 202 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 19 |
Solve: |2x + -8| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 10 |
Solve: |6x + 11| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 0 |
Solve: |5x + 14| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
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 |
Simplify: -7x + 3x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 6y |
If each item costs 13 dollars and the total cost is -143, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
Solve for x: 9x + 3 = 84 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
If each item costs -3 dollars and the total cost is -48, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 16 |
If each item costs 11 dollars and the total cost is 77, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 7 |
If each item costs 11 dollars and the total cost is 242, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
What is -17% of 100? | Compute the percent value (integer-safe). | Compute -17/100 × 100. | -17 |
Solve: |3x + 14| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2 |
Simplify: 2x + 7x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x + 7y |
Solve: 6x + 0 ≥ -96 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -16 |
Solve for x: 5x + -7 = 83 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 18 |
Solve: 3x + -14 > -38 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -8 |
Solve for x: -5x + 30 = 5 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 5 |
If each item costs 9 dollars and the total cost is 9, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 1 |
What is 95% of 200? | Compute the percent value (integer-safe). | Compute 95/100 × 200. | 190 |
Simplify: -1x + -4x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x + 2y |
Solve for x: -1(x + 5) = -19 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
Solve: |2x + -15| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -8(x + 7) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve: 10x + 20 ≤ -50 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -7 |
If each item costs 19 dollars and the total cost is -342, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -18 |
Solve for x: -8(x + 2) = 16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Solve for x: 5(x + 7) = 15 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
What is 71% of 200? | Compute the percent value (integer-safe). | Compute 71/100 × 200. | 142 |
Solve for x: 6(x + 11) = 156 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Simplify: -2x + 3x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 6y |
If each item costs 16 dollars and the total cost is -224, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -14 |
If each item costs 8 dollars and the total cost is -40, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -5 |
Solve: |-7x + -9| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3 |
Solve: |-1x + 10| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 9, 11 |
What is 138% of 100? | Compute the percent value (integer-safe). | Compute 138/100 × 100. | 138 |
Solve: |5x + -13| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
Solve for x: -4(x + -10) = 56 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Solve for x: 3(x + -14) = -72 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Solve: -7x + 20 ≤ -22 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 6 |
Solve: |-4x + -3| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -5 |
Solve: |-2x + -7| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -13 ≤ x ≤ 6 |
Solve for x: -7(x + -4) = -63 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve: |3x + 17| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -8 ≤ x ≤ -4 |
Solve for x: -2x + -21 = 3 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
Solve: |3x + -20| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 6 ≤ x ≤ 7 |
Solve for x: 8(x + 8) = 104 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Solve for x: -2(x + 10) = -46 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve: |1x + -20| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 20 ≤ x ≤ 20 |
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