question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Simplify: 0x + -2x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 7y |
Solve: |-7x + 3| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
Solve: |-4x + 11| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 3 |
Solve for x: 9x + 16 = 88 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve: |-1x + 3| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -12, 18 |
What is 108% of 75? | Compute the percent value (integer-safe). | Compute 108/100 × 75. | 81 |
If each item costs 16 dollars and the total cost is 352, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
Solve for x: 7(x + -12) = -77 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve: 9x + -6 ≤ -132 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -14 |
Solve for x: -5(x + -5) = 90 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
What is -40% of 15? | Compute the percent value (integer-safe). | Compute -40/100 × 15. | -6 |
Solve for x: -2(x + -14) = 42 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve for x: -4(x + 6) = -48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
If each item costs 20 dollars and the total cost is -160, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -8 |
Solve for x: -7x + 26 = 103 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
Simplify: 8x + -2x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x + 2y |
What is 61% of 300? | Compute the percent value (integer-safe). | Compute 61/100 × 300. | 183 |
Simplify: 2x + 6x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x - 1y |
Solve for x: 7(x + -3) = 28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Solve: |-1x + -5| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -13, 3 |
What is 75% of 24? | Compute the percent value (integer-safe). | Compute 75/100 × 24. | 18 |
Solve: -7x + -13 ≤ -6 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -1 |
Solve: |8x + -7| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 2(x + -6) = -12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
Solve for x: -2(x + 1) = -8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
Simplify: 8x + 3x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 11x - 3y |
Solve: |-5x + 4| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
Solve for x: -5(x + 1) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
What is 80% of 15? | Compute the percent value (integer-safe). | Compute 80/100 × 15. | 12 |
Simplify: 2x + 1x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x + 4y |
If each item costs 17 dollars and the total cost is 68, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 4 |
Solve: |8x + 20| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -2 |
Solve: |1x + 13| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -24 ≤ x ≤ -2 |
Solve for x: -5(x + 13) = -70 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve for x: -5(x + -12) = 120 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve: 3x + 19 > -35 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -18 |
Solve: |-6x + 10| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-8x + -13| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
What is 73% of 200? | Compute the percent value (integer-safe). | Compute 73/100 × 200. | 146 |
Simplify: 7x + 3x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x - 3y |
Solve for x: 7(x + 13) = 119 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
What is 14% of 50? | Compute the percent value (integer-safe). | Compute 14/100 × 50. | 7 |
What is 99% of 400? | Compute the percent value (integer-safe). | Compute 99/100 × 400. | 396 |
What is 130% of 40? | Compute the percent value (integer-safe). | Compute 130/100 × 40. | 52 |
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 for x: 4(x + 6) = 32 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
What is -45% of 80? | Compute the percent value (integer-safe). | Compute -45/100 × 80. | -36 |
Solve: |3x + -7| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 5 |
Solve for x: -3x + -28 = -79 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 17 |
Solve: |5x + 10| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 1 |
Solve: |-3x + -3| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -7, 5 |
Solve for x: -8x + -17 = 127 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
Simplify: 6x + -7x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 6y |
Solve for x: 1x + -10 = -14 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Simplify: 1x + -5x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x |
Simplify: 4x + 2x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x - 6y |
Solve: |3x + 15| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -9 ≤ x ≤ -1 |
Solve for x: -4(x + 11) = -60 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
Solve: -4x + 15 > 67 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -13 |
What is 119% of 200? | Compute the percent value (integer-safe). | Compute 119/100 × 200. | 238 |
Solve: 3x + 5 < -1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -2 |
Solve: |-3x + -12| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-8x + 18| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 4 |
If each item costs -6 dollars and the total cost is 12, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -2 |
Solve for x: 1x + -22 = -14 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve: |2x + -20| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 6 ≤ x ≤ 14 |
Solve: -10x + -14 < -4 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -1 |
If each item costs 1 dollars and the total cost is 11, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 11 |
Solve for x: 8x + 25 = 129 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
If each item costs 4 dollars and the total cost is 48, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 12 |
What is -48% of 50? | Compute the percent value (integer-safe). | Compute -48/100 × 50. | -24 |
Simplify: 1x + 3x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x + 4y |
What is 129% of 700? | Compute the percent value (integer-safe). | Compute 129/100 × 700. | 903 |
Simplify: 0x + 4x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x - 4y |
Solve for x: -6(x + -14) = 90 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Solve for x: 3x + 10 = 55 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
Solve for x: 6x + 30 = 84 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
Solve for x: -4x + 7 = 19 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Solve: |-6x + 4| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
If each item costs -3 dollars and the total cost is 27, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -9 |
Solve: |8x + 19| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -1 |
What is 144% of 225? | Compute the percent value (integer-safe). | Compute 144/100 × 225. | 324 |
Solve: |7x + -16| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 3 |
What is 73% of 900? | Compute the percent value (integer-safe). | Compute 73/100 × 900. | 657 |
Simplify: -8x + 0x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x + 2y |
Solve: 8x + -6 > 138 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 18 |
Solve for x: 5x + -2 = -102 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -20 |
Solve for x: -6(x + 10) = -150 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve: |7x + 12| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -1 |
If each item costs -6 dollars and the total cost is 42, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -7 |
Solve for x: -10x + -24 = -104 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve: |-8x + -20| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ -1 |
Solve for x: 7x + 2 = 65 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
If each item costs 13 dollars and the total cost is 65, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 5 |
Solve: 2x + -16 > -18 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -1 |
If each item costs 13 dollars and the total cost is 65, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 5 |
Simplify: -7x + -4x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x - 3y |
Solve for x: -1(x + 11) = -1 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Solve for x: -4(x + -1) = 8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Simplify: -7x + 8x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 6y |
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