question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
What is 18% of 500? | Compute the percent value (integer-safe). | Compute 18/100 × 500. | 90 |
Solve: |8x + -18| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 4 |
Solve: |2x + 4| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -9 ≤ x ≤ 5 |
Solve: |-7x + 12| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
Solve for x: -9x + -13 = -49 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 4 |
If each item costs 16 dollars and the total cost is 0, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 0 |
Simplify: -1x + -6x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x - 8y |
Solve: -5x + 20 < 45 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -5 |
Solve for x: 3(x + -15) = -81 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve: 7x + 6 < -8 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -2 |
Solve for x: -6(x + -2) = 48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
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. | 2 |
What is 73% of 800? | Compute the percent value (integer-safe). | Compute 73/100 × 800. | 584 |
Solve: |-6x + -6| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |2x + 10| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -8 ≤ x ≤ -2 |
What is 38% of 400? | Compute the percent value (integer-safe). | Compute 38/100 × 400. | 152 |
Solve: |3x + 11| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ 0 |
Solve: |-6x + 4| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
Solve: |1x + 0| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 14, -14 |
Solve: |-1x + -8| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -10 ≤ x ≤ -6 |
Solve for x: 7(x + 13) = 112 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
What is 64% of 125? | Compute the percent value (integer-safe). | Compute 64/100 × 125. | 80 |
If each item costs 20 dollars and the total cost is -340, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -17 |
Solve: |3x + -9| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -4x + 28 = -16 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 11 |
Solve: |-5x + -7| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ -1 |
Solve: |-2x + 14| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2, 16 |
Simplify: -4x + 5x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x - 6y |
Solve: -5x + 9 > -56 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 13 |
Solve for x: 10x + -7 = 73 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve for x: 3x + -9 = -21 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve: |-7x + 16| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 5 |
Solve: |2x + -13| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 10 |
Solve for x: 2(x + 13) = 26 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
What is -43% of 100? | Compute the percent value (integer-safe). | Compute -43/100 × 100. | -43 |
Solve for x: 3(x + 4) = 30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
What is 144% of 225? | Compute the percent value (integer-safe). | Compute 144/100 × 225. | 324 |
If each item costs 17 dollars and the total cost is -272, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -16 |
What is 73% of 100? | Compute the percent value (integer-safe). | Compute 73/100 × 100. | 73 |
Solve: |3x + -15| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 9 |
Solve: |1x + 10| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 4, -24 |
What is 90% of 90? | Compute the percent value (integer-safe). | Compute 90/100 × 90. | 81 |
Solve: |1x + 14| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -8, -20 |
Solve: |5x + -10| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 2 |
Solve for x: 7x + 23 = 107 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 12 |
Solve: |1x + 15| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -26 ≤ x ≤ -4 |
Solve: |-3x + -14| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -10 |
Solve: |-5x + -8| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2 |
What is -23% of 900? | Compute the percent value (integer-safe). | Compute -23/100 × 900. | -207 |
Solve for x: 4x + -2 = -14 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Solve for x: 6(x + 7) = 48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve: |-1x + -20| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -36 ≤ x ≤ -4 |
What is 140% of 50? | Compute the percent value (integer-safe). | Compute 140/100 × 50. | 70 |
Simplify: -3x + 4x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x - 3y |
If each item costs 10 dollars and the total cost is 190, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 19 |
Solve: -8x + 2 < 26 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -3 |
If each item costs 11 dollars and the total cost is -22, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -2 |
Solve for x: 3x + -13 = -58 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
Solve: |-5x + -7| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 2 |
Simplify: 0x + -6x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x - 4y |
What is 139% of 400? | Compute the percent value (integer-safe). | Compute 139/100 × 400. | 556 |
Solve for x: 3(x + -15) = -42 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve for x: 5(x + -7) = -5 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
Solve: |8x + -8| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 3 |
Solve: |5x + 0| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 0 |
Solve: |-2x + 15| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 17 |
What is 148% of 50? | Compute the percent value (integer-safe). | Compute 148/100 × 50. | 74 |
What is -14% of 500? | Compute the percent value (integer-safe). | Compute -14/100 × 500. | -70 |
Solve: |2x + 8| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ -4 |
Solve: |5x + -5| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 7(x + -8) = -21 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Solve: |7x + 20| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -3 |
What is 66% of 400? | Compute the percent value (integer-safe). | Compute 66/100 × 400. | 264 |
Solve: |-3x + 16| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 7 |
Solve for x: -12x + 22 = -38 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 5 |
Solve for x: -3(x + -15) = 33 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
If each item costs -5 dollars and the total cost is -60, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 12 |
Simplify: -2x + 3x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 2y |
If each item costs 15 dollars and the total cost is -150, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -10 |
What is 78% of 350? | Compute the percent value (integer-safe). | Compute 78/100 × 350. | 273 |
Solve: |-8x + -12| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -1 |
Solve for x: 1(x + 10) = -1 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Solve: |6x + 12| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 6(x + 9) = 102 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve for x: 5(x + -3) = 15 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
Solve: |3x + 3| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2, -4 |
If each item costs 13 dollars and the total cost is 364, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 28 |
Solve for x: -4x + -25 = -65 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
If each item costs 8 dollars and the total cost is 136, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 17 |
Solve for x: 2(x + 6) = 26 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
What is 16% of 50? | Compute the percent value (integer-safe). | Compute 16/100 × 50. | 8 |
Solve: 9x + 10 ≤ 118 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 12 |
If each item costs -2 dollars and the total cost is -54, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 27 |
Solve: |5x + -11| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 5 |
Simplify: -5x + -6x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x + 6y |
Solve for x: -1(x + 4) = -15 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Simplify: -7x + -2x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x + 8y |
Solve: 4x + 7 > -57 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -16 |
Solve: -8x + 4 ≤ 28 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -3 |
Simplify: 7x + -2x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 8y |
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