question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
If each item costs 14 dollars and the total cost is 154, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 11 |
Solve: 9x + 1 > 1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 0 |
Solve: |8x + -8| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 1 |
Solve for x: 12x + 29 = -91 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
Solve: -9x + 4 ≥ -131 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 15 |
Simplify: 3x + -7x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 8y |
Solve: |3x + 3| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1, -3 |
Solve: |-3x + -14| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 8x + -6x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 1y |
Solve: |3x + 15| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |7x + 1| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2 |
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. | -16 |
If each item costs 19 dollars and the total cost is 38, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Solve: |-1x + -1| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -13, 11 |
What is 35% of 200? | Compute the percent value (integer-safe). | Compute 35/100 × 200. | 70 |
What is 17% of 700? | Compute the percent value (integer-safe). | Compute 17/100 × 700. | 119 |
Simplify: -1x + -3x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 3y |
Solve: |3x + 3| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 4 |
Simplify: -2x + -6x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x + 1y |
Solve: -2x + 7 ≤ 17 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -5 |
Solve for x: 2(x + -12) = -48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve: 5x + -7 ≤ 88 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 19 |
Solve: |-1x + -12| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -13, -11 |
Solve for x: -2x + -5 = -17 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
Solve: -6x + -19 > 71 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -15 |
What is 146% of 0? | Compute the percent value (integer-safe). | Compute 146/100 × 0. | 0 |
Simplify: 5x + -6x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x + 4y |
Simplify: 8x + 7x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 15x - 7y |
If each item costs 7 dollars and the total cost is -56, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -8 |
Solve: |7x + 0| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs -3 dollars and the total cost is 45, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -15 |
Solve for x: 7(x + 0) = 21 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
Solve for x: -2(x + 12) = -10 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve: |-8x + 4| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
What is 9% of 300? | Compute the percent value (integer-safe). | Compute 9/100 × 300. | 27 |
If each item costs -7 dollars and the total cost is 42, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -6 |
Simplify: 6x + 4x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x + 7y |
Solve for x: 5x + -21 = -81 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
If each item costs 8 dollars and the total cost is 32, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 4 |
Solve: |2x + -16| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 8 ≤ x ≤ 8 |
Solve for x: 4(x + 5) = 32 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
Solve for x: 2x + -28 = -20 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 4 |
Simplify: -8x + 3x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x + 2y |
Solve: -6x + -14 > -134 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 20 |
Solve: |-5x + 13| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
Simplify: 4x + 1x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x |
Solve for x: -1(x + 7) = 3 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
If each item costs -6 dollars and the total cost is 102, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -17 |
If each item costs 1 dollars and the total cost is -14, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -14 |
If each item costs 10 dollars and the total cost is 220, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
Solve: |-2x + 13| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 10 |
Solve: -9x + 4 ≤ 94 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -10 |
Simplify: 3x + 3x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x + 7y |
Simplify: 6x + 1x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x - 7y |
Solve: |-1x + -1| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -6, 4 |
Solve for x: 2x + 5 = 25 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
Solve for x: -10x + 7 = 67 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -6 |
Solve for x: -1(x + -15) = 24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
What is 115% of 120? | Compute the percent value (integer-safe). | Compute 115/100 × 120. | 138 |
Solve: 10x + 6 > -114 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -12 |
Solve for x: 5(x + -10) = -30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
Solve: |5x + -8| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
Solve: |4x + -16| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 4 ≤ x ≤ 4 |
If each item costs 6 dollars and the total cost is 6, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 1 |
Solve: |2x + -12| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 13, -1 |
What is 78% of 450? | Compute the percent value (integer-safe). | Compute 78/100 × 450. | 351 |
Solve for x: 2(x + -10) = -40 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Solve: -7x + 5 > 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 9 dollars and the total cost is -180, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -20 |
Solve: |-4x + 5| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -5x + 24 = -41 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Solve: |8x + -3| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |4x + -12| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |7x + 15| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -1 |
Solve: |1x + 12| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -10, -14 |
Solve: -8x + 1 ≥ -159 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 20 |
Solve for x: 7(x + 2) = 28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
What is 74% of 100? | Compute the percent value (integer-safe). | Compute 74/100 × 100. | 74 |
What is 144% of 125? | Compute the percent value (integer-safe). | Compute 144/100 × 125. | 180 |
What is 15% of 120? | Compute the percent value (integer-safe). | Compute 15/100 × 120. | 18 |
Solve for x: -9x + 2 = 173 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -19 |
If each item costs 15 dollars and the total cost is -120, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -8 |
If each item costs 9 dollars and the total cost is -144, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -16 |
Solve: |-7x + -10| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 9% of 0? | Compute the percent value (integer-safe). | Compute 9/100 × 0. | 0 |
Simplify: 4x + -4x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5y |
Simplify: -7x + 0x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x + 3y |
Simplify: -3x + 1x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x |
Solve: -3x + 3 ≥ -48 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 17 |
Solve for x: 6(x + -4) = 18 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
If each item costs -7 dollars and the total cost is 7, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -1 |
What is 140% of 0? | Compute the percent value (integer-safe). | Compute 140/100 × 0. | 0 |
Solve for x: 7x + -1 = 83 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 12 |
Solve: 4x + 5 ≤ -27 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -8 |
Solve for x: -3(x + -1) = -24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve: -2x + 13 ≥ -11 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 12 |
Solve for x: -5(x + -15) = 80 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Simplify: 8x + 2x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x - 6y |
Simplify: 2x + -8x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x + 5y |
Solve: |-8x + 11| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 3 |
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