question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve: -3x + 5 > -55 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 20 |
Solve: -3x + -10 < 41 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -17 |
Solve: |5x + -14| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 6 |
What is 150% of 14? | Compute the percent value (integer-safe). | Compute 150/100 × 14. | 21 |
Simplify: 1x + 1x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 8y |
Solve: |7x + 7| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-1x + 18| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 13 ≤ x ≤ 23 |
Solve: |-4x + 4| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-8x + 2| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
Solve for x: 7(x + 14) = 126 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
Solve for x: 6(x + -8) = 30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve: |-3x + 4| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 1 |
Solve: |-5x + 10| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 3 |
Solve: 8x + 12 ≤ 156 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 18 |
Solve for x: 6(x + -3) = -78 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Solve for x: 7(x + -2) = 56 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
If each item costs 18 dollars and the total cost is -180, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -10 |
Solve: |-4x + 0| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 6x + 2 > 8 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 1 |
Solve: 8x + 12 > 68 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 7 |
Simplify: 2x + -3x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 4y |
Simplify: 6x + -5x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 1y |
Solve: |-2x + -3| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 14 dollars and the total cost is 14, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 1 |
Solve: |3x + -8| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
Solve: -10x + 10 ≤ 40 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -3 |
Solve for x: -4(x + -2) = -12 | 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 -22, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
Simplify: 4x + 2x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x + 8y |
What is 139% of 400? | Compute the percent value (integer-safe). | Compute 139/100 × 400. | 556 |
Solve: |6x + -7| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 2 |
Solve: |-3x + -15| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -8 ≤ x ≤ -2 |
Simplify: 1x + -1x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5y |
What is 4% of 0? | Compute the percent value (integer-safe). | Compute 4/100 × 0. | 0 |
Solve for x: -3(x + 5) = 21 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve: |3x + -13| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 2x + -7 > -47 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -20 |
What is -27% of 300? | Compute the percent value (integer-safe). | Compute -27/100 × 300. | -81 |
If each item costs 7 dollars and the total cost is 182, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 26 |
Simplify: -6x + 1x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x |
If each item costs -2 dollars and the total cost is -20, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 10 |
Simplify: -8x + -8x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -16x + 8y |
Simplify: 1x + -1x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5y |
Solve: |1x + -5| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 16 |
If each item costs 2 dollars and the total cost is -26, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -13 |
Solve for x: -4x + -19 = -23 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
Simplify: -6x + -7x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -13x + 2y |
Solve: -6x + 7 ≤ 13 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -1 |
Solve: |-4x + -4| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 8(x + 0) = -112 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Solve for x: -12x + 2 = -106 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
If each item costs 7 dollars and the total cost is 49, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 7 |
Simplify: -2x + 2x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4y |
Solve: |3x + -12| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 6 |
If each item costs -10 dollars and the total cost is 50, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -5 |
Solve for x: -6x + 1 = -77 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Solve: |4x + 7| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve for x: 2x + 12 = 52 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 20 |
Simplify: 1x + 1x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 5y |
Solve: -6x + -10 ≤ -70 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 10 |
Solve: 5x + 15 < 55 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 8 |
Solve: |2x + 15| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -14 ≤ x ≤ -1 |
What is 74% of 500? | Compute the percent value (integer-safe). | Compute 74/100 × 500. | 370 |
Solve: 10x + 6 ≤ 156 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 15 |
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 |
What is 13% of 700? | Compute the percent value (integer-safe). | Compute 13/100 × 700. | 91 |
What is 11% of 800? | Compute the percent value (integer-safe). | Compute 11/100 × 800. | 88 |
Solve: |-2x + 5| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -5, 10 |
Solve: 9x + -17 > -98 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -9 |
Solve: |-3x + -5| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2 |
Solve: 3x + 2 ≥ 50 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 16 |
Solve for x: -2(x + -13) = 20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
Solve for x: -9x + -17 = -17 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
What is 126% of 450? | Compute the percent value (integer-safe). | Compute 126/100 × 450. | 567 |
Solve: |8x + 3| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-1x + 8| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -8, 24 |
Simplify: 8x + -3x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x |
Solve for x: -7(x + -12) = 168 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve: 5x + 15 < 30 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 3 |
Simplify: 2x + 6x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x - 3y |
Solve for x: -5(x + 14) = -145 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve for x: -12x + -12 = 132 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
Solve: |-6x + 9| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 4 |
Solve for x: 7x + 15 = 78 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
Solve for x: -7(x + -15) = 56 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Solve: |-5x + 3| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 2 |
Simplify: 6x + -5x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x |
If each item costs 4 dollars and the total cost is 56, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 14 |
What is 73% of 400? | Compute the percent value (integer-safe). | Compute 73/100 × 400. | 292 |
What is 85% of 0? | Compute the percent value (integer-safe). | Compute 85/100 × 0. | 0 |
Simplify: 7x + -8x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 1y |
What is 104% of 25? | Compute the percent value (integer-safe). | Compute 104/100 × 25. | 26 |
Solve for x: -4x + -23 = -3 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -5 |
If each item costs 4 dollars and the total cost is -56, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -14 |
What is 112% of 175? | Compute the percent value (integer-safe). | Compute 112/100 × 175. | 196 |
Solve: |3x + -10| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-4x + -15| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs -9 dollars and the total cost is -72, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 8 |
Solve: |1x + -8| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 15, 1 |
Solve for x: 3x + -20 = 28 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
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