question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringclasses 940
values | answer stringlengths 1 20 |
|---|---|---|---|
Solve: -5x + -9 ≥ 16 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -5 |
Solve for x: 12x + 29 = -79 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -9 |
What is 150% of 12? | Compute the percent value (integer-safe). | Compute 150/100 × 12. | 18 |
If each item costs -5 dollars and the total cost is 15, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -3 |
Solve for x: -7(x + 12) = -63 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve: |-1x + -8| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -22 ≤ x ≤ 6 |
What is 28% of 75? | Compute the percent value (integer-safe). | Compute 28/100 × 75. | 21 |
If each item costs 11 dollars and the total cost is -209, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -19 |
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. | 5 |
Solve: |-6x + 15| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 114% of 400? | Compute the percent value (integer-safe). | Compute 114/100 × 400. | 456 |
Simplify: 2x + -8x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x - 5y |
Solve: |-3x + 3| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 8x + -3 = -115 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -14 |
What is 136% of 125? | Compute the percent value (integer-safe). | Compute 136/100 × 125. | 170 |
Simplify: 8x + -5x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x + 4y |
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 |
Simplify: -8x + 8x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2y |
What is 60% of 5? | Compute the percent value (integer-safe). | Compute 60/100 × 5. | 3 |
What is 109% of 500? | Compute the percent value (integer-safe). | Compute 109/100 × 500. | 545 |
Solve for x: 2(x + 1) = 18 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve: |6x + -5| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-4x + -9| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
Simplify: -3x + 1x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x + 4y |
Solve for x: -3x + -17 = -14 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -1 |
Simplify: 2x + 6x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x + 6y |
Solve: |-2x + 12| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 13 |
Solve: -1x + 12 ≤ 27 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -15 |
Solve for x: -1(x + 6) = -17 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve: |-1x + 10| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 4, 16 |
Solve: -9x + -5 ≥ 166 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -19 |
Solve for x: 6(x + 13) = 72 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
If each item costs 12 dollars and the total cost is 300, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 25 |
Simplify: 7x + 4x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 11x - 1y |
Solve: -7x + 7 > 147 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -20 |
Solve: 5x + -17 > 48 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 13 |
Solve for x: -4(x + 10) = -36 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Solve: |3x + 8| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -9 ≤ x ≤ 3 |
Simplify: 6x + -3x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x + 7y |
Solve: |1x + -5| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -15 ≤ x ≤ 25 |
Solve: |8x + 5| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |7x + -13| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
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. | -3 |
What is 88% of 25? | Compute the percent value (integer-safe). | Compute 88/100 × 25. | 22 |
Solve: -3x + 4 > 37 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -11 |
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 |
Simplify: 2x + 6x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x + 5y |
Solve for x: 2x + -6 = -20 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -7 |
Solve for x: 1x + 0 = 16 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
Solve for x: -3x + 18 = 12 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
Simplify: 5x + -1x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x + 7y |
If each item costs 3 dollars and the total cost is -9, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -3 |
Solve: |-8x + 4| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
Simplify: -3x + 6x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 4y |
Solve for x: 7x + 6 = 41 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 5 |
Solve for x: 9x + -3 = -138 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
Solve: -5x + -17 ≤ -62 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 9 |
Simplify: 2x + -2x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6y |
What is 36% of 150? | Compute the percent value (integer-safe). | Compute 36/100 × 150. | 54 |
Solve: |6x + -7| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-8x + 14| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
What is 7% of 1000? | Compute the percent value (integer-safe). | Compute 7/100 × 1000. | 70 |
Solve for x: -7(x + 9) = -126 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve for x: -6x + 23 = 53 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -5 |
Solve for x: -8x + -15 = -167 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 19 |
Solve: -7x + 16 > -54 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 10 |
Solve: |1x + 3| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -8 ≤ x ≤ 2 |
Solve for x: -3(x + 15) = -72 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve: |-5x + 3| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |5x + -3| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -1(x + -12) = 9 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
Solve: |-5x + 10| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 6x + -3 = 9 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
What is -33% of 800? | Compute the percent value (integer-safe). | Compute -33/100 × 800. | -264 |
What is -47% of 600? | Compute the percent value (integer-safe). | Compute -47/100 × 600. | -282 |
Solve: |-5x + 7| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 3 |
Solve: |-4x + 7| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 3 |
Solve: |8x + -1| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |3x + 12| = 7 | 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) = -105 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve: |5x + 1| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve: |3x + -9| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 8 |
If each item costs 15 dollars and the total cost is 30, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Solve: |3x + -7| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -4 |
Solve: |-8x + 1| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 6(x + 0) = -48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
If each item costs 5 dollars and the total cost is 120, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 24 |
Solve: |7x + -19| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 3 |
Solve: |-1x + -3| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -10, 4 |
Solve: |4x + 0| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 58% of 400? | Compute the percent value (integer-safe). | Compute 58/100 × 400. | 232 |
What is 40% of 35? | Compute the percent value (integer-safe). | Compute 40/100 × 35. | 14 |
Solve: |2x + -7| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 7, 0 |
Solve for x: -2(x + -5) = -6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve for x: -3(x + -9) = 3 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
If each item costs 5 dollars and the total cost is 135, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 27 |
Solve: |2x + -12| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 9, 3 |
Solve: |-1x + -4| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -9, 1 |
Solve: |-8x + 7| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 3 |
Solve: -9x + -17 ≤ 10 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -3 |
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