question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
What is 64% of 125? | Compute the percent value (integer-safe). | Compute 64/100 × 125. | 80 |
Solve: |7x + 14| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |1x + 2| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -22 ≤ x ≤ 18 |
If each item costs 17 dollars and the total cost is 374, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
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 |
Solve for x: 5(x + 15) = 95 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
Solve for x: -12x + -26 = 190 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
Solve: |2x + -16| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 17 |
Solve: |-3x + -2| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 114% of 250? | Compute the percent value (integer-safe). | Compute 114/100 × 250. | 285 |
What is 139% of 300? | Compute the percent value (integer-safe). | Compute 139/100 × 300. | 417 |
Solve: |6x + 12| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |7x + -15| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 4 |
Solve: 8x + 20 < -108 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -16 |
Simplify: 1x + 3x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x - 2y |
Solve: -4x + 6 > 86 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -20 |
Simplify: -2x + 4x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 3y |
If each item costs -3 dollars and the total cost is 21, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -7 |
What is 67% of 500? | Compute the percent value (integer-safe). | Compute 67/100 × 500. | 335 |
What is -28% of 225? | Compute the percent value (integer-safe). | Compute -28/100 × 225. | -63 |
What is 24% of 50? | Compute the percent value (integer-safe). | Compute 24/100 × 50. | 12 |
What is 48% of 125? | Compute the percent value (integer-safe). | Compute 48/100 × 125. | 60 |
Solve: |1x + -4| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 22, -14 |
Solve for x: 8x + 23 = 151 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
If each item costs 3 dollars and the total cost is -12, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
Solve for x: -4(x + -3) = -24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve: |-6x + -8| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 5(x + 1) = 30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
If each item costs -1 dollars and the total cost is 12, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -12 |
Solve for x: -4(x + 8) = 20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve: -8x + -16 ≥ -144 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 16 |
Solve for x: -2x + 28 = 36 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve for x: -6(x + -3) = -30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve: |-2x + -13| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-3x + -4| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 4 |
Simplify: -6x + -4x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -10x |
Solve: |5x + 12| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -4 |
Solve: |-1x + 0| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -12, 12 |
If each item costs 7 dollars and the total cost is -14, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -2 |
What is 46% of 150? | Compute the percent value (integer-safe). | Compute 46/100 × 150. | 69 |
What is -26% of 0? | Compute the percent value (integer-safe). | Compute -26/100 × 0. | 0 |
Solve: 6x + -11 < -95 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -14 |
Solve: |-1x + -3| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -6, 0 |
Solve for x: -7x + 22 = -34 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
What is 50% of 2? | Compute the percent value (integer-safe). | Compute 50/100 × 2. | 1 |
Solve for x: -9x + 16 = -38 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
Solve: |-4x + 9| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2 |
Solve: |-7x + 2| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
What is 30% of 50? | Compute the percent value (integer-safe). | Compute 30/100 × 50. | 15 |
Solve: |-7x + 10| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 4 |
Solve: |3x + -10| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2 |
Simplify: 0x + 3x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x + 6y |
Solve for x: 6(x + 15) = 36 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve: 8x + -1 > -81 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -10 |
Solve: |-3x + 3| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 7 |
Solve: -2x + -16 < -50 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 17 |
Solve: |-2x + 0| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |8x + -13| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
Solve: -8x + 18 > 178 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -20 |
Solve: |7x + 18| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 0 |
Solve: |2x + 14| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ -7 |
What is -22% of 150? | Compute the percent value (integer-safe). | Compute -22/100 × 150. | -33 |
Solve for x: -9x + -12 = -66 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
Solve for x: 4x + 7 = 7 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
Solve: |5x + 17| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ 0 |
Solve: |-5x + 16| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 5 |
What is -30% of 10? | Compute the percent value (integer-safe). | Compute -30/100 × 10. | -3 |
Solve: -7x + 0 ≥ -98 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 14 |
What is 137% of 800? | Compute the percent value (integer-safe). | Compute 137/100 × 800. | 1096 |
Solve: |2x + 10| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -14 ≤ x ≤ 4 |
Solve: -6x + -14 ≥ -50 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 6 |
Solve: |-2x + -12| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -8, -4 |
If each item costs -2 dollars and the total cost is -12, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 6 |
Solve: |1x + 9| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3, -15 |
What is 121% of 500? | Compute the percent value (integer-safe). | Compute 121/100 × 500. | 605 |
Solve: |-3x + 12| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 5 |
What is 117% of 400? | Compute the percent value (integer-safe). | Compute 117/100 × 400. | 468 |
What is -36% of 150? | Compute the percent value (integer-safe). | Compute -36/100 × 150. | -54 |
Simplify: -3x + 2x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x + 2y |
What is 136% of 175? | Compute the percent value (integer-safe). | Compute 136/100 × 175. | 238 |
If each item costs 20 dollars and the total cost is 200, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 10 |
Solve: |-2x + 14| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 11 |
Solve: |-3x + -11| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -5 |
Solve: |4x + -7| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3 |
Solve for x: -3x + -15 = 39 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
Solve: |-1x + 1| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -11, 13 |
Simplify: -8x + -8x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -16x |
Solve for x: 7(x + 8) = -49 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
Solve: |5x + 10| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 2 |
Simplify: 7x + -2x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 1y |
Solve: |1x + -11| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 20, 2 |
If each item costs -3 dollars and the total cost is -24, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 8 |
Simplify: -7x + -1x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x + 7y |
What is 138% of 400? | Compute the percent value (integer-safe). | Compute 138/100 × 400. | 552 |
What is 118% of 300? | Compute the percent value (integer-safe). | Compute 118/100 × 300. | 354 |
Solve: |-7x + -3| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 1 |
If each item costs 1 dollars and the total cost is 10, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 10 |
What is 12% of 150? | Compute the percent value (integer-safe). | Compute 12/100 × 150. | 18 |
Solve for x: 3(x + -6) = -42 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
Solve: |-5x + -14| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -5 |
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