question stringlengths 16 86 | problem stringclasses 8 values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Simplify: -3x + -8x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x + 2y |
Solve: |-4x + 6| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -1x + -3 = 1 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve for x: 11x + -23 = -243 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -20 |
What is 41% of 200? | Compute the percent value (integer-safe). | Compute 41/100 × 200. | 82 |
Solve: |2x + 3| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 7, -10 |
What is 49% of 500? | Compute the percent value (integer-safe). | Compute 49/100 × 500. | 245 |
Solve: 9x + -6 > -123 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -13 |
What is 30% of 30? | Compute the percent value (integer-safe). | Compute 30/100 × 30. | 9 |
What is 79% of 600? | Compute the percent value (integer-safe). | Compute 79/100 × 600. | 474 |
Simplify: -5x + 4x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 5y |
Solve for x: -2(x + 3) = 14 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Solve for x: -8x + 6 = -10 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
Solve for x: 1(x + 3) = 13 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
Simplify: 5x + 7x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 12x + 5y |
Solve for x: 5(x + 1) = 20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
What is 113% of 100? | Compute the percent value (integer-safe). | Compute 113/100 × 100. | 113 |
Solve: 2x + -17 > -13 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 2 |
Solve: |3x + 13| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -11 ≤ x ≤ 2 |
What is 49% of 600? | Compute the percent value (integer-safe). | Compute 49/100 × 600. | 294 |
Solve: |-4x + 8| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 7 dollars and the total cost is 28, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 4 |
What is 110% of 0? | Compute the percent value (integer-safe). | Compute 110/100 × 0. | 0 |
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: |3x + 12| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3, -5 |
Solve: -8x + 9 ≥ -23 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 4 |
What is -47% of 0? | Compute the percent value (integer-safe). | Compute -47/100 × 0. | 0 |
Solve: |-2x + 11| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 8 |
Solve for x: 7(x + 3) = 119 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
Simplify: 3x + -1x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 8y |
Solve: -8x + 7 < -65 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 9 |
What is -49% of 200? | Compute the percent value (integer-safe). | Compute -49/100 × 200. | -98 |
If each item costs 18 dollars and the total cost is 216, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 12 |
Solve for x: 9x + -2 = 178 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 20 |
If each item costs -7 dollars and the total cost is -21, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 3 |
Solve for x: 3(x + 13) = 66 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Simplify: 8x + 5x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 13x - 6y |
If each item costs 12 dollars and the total cost is 348, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 29 |
Solve: 5x + -18 ≤ -78 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -12 |
Solve for x: -1x + -15 = -31 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
Solve for x: -8x + -17 = -137 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
Simplify: -1x + -2x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x + 8y |
Simplify: 7x + -4x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x + 6y |
If each item costs 15 dollars and the total cost is -270, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -18 |
Solve for x: -2(x + -13) = -4 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve for x: 6x + 30 = 42 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
What is 96% of 0? | Compute the percent value (integer-safe). | Compute 96/100 × 0. | 0 |
What is 138% of 450? | Compute the percent value (integer-safe). | Compute 138/100 × 450. | 621 |
Simplify: -8x + -1x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x - 8y |
Simplify: 3x + -7x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 5y |
What is 26% of 450? | Compute the percent value (integer-safe). | Compute 26/100 × 450. | 117 |
Simplify: 1x + 4x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x - 1y |
Simplify: -1x + -5x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x - 7y |
What is 95% of 0? | Compute the percent value (integer-safe). | Compute 95/100 × 0. | 0 |
Solve: |6x + 17| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ -1 |
Simplify: 4x + 6x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x + 2y |
What is 18% of 150? | Compute the percent value (integer-safe). | Compute 18/100 × 150. | 27 |
Solve: -7x + -11 > 80 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -13 |
Simplify: -5x + 2x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x + 6y |
Solve for x: -11x + -14 = -14 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
Solve: |-1x + -7| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -9, -5 |
If each item costs 5 dollars and the total cost is 95, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 19 |
Solve: -6x + -10 > -40 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 5 |
Solve: |2x + 8| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 4x + 24 = 32 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
What is 75% of 32? | Compute the percent value (integer-safe). | Compute 75/100 × 32. | 24 |
Solve for x: -7x + -14 = -147 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 19 |
Simplify: 5x + -8x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 7y |
Simplify: -1x + 3x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 1y |
Solve: |-6x + 5| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 3 |
Solve for x: 3x + 30 = 24 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -2 |
Solve: |2x + 5| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 0 |
Solve: 2x + -15 < -31 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -8 |
Solve: |-2x + 10| = 13 | 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 -126, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -9 |
Solve: |-1x + 11| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 20 |
Solve: |-4x + 15| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 7 |
What is 2% of 150? | Compute the percent value (integer-safe). | Compute 2/100 × 150. | 3 |
If each item costs 5 dollars and the total cost is -25, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -5 |
Solve for x: -4(x + -3) = 56 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Solve: |-7x + -10| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |8x + -4| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
Simplify: -8x + 1x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x - 7y |
Simplify: 4x + -2x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 1y |
Solve for x: -3(x + -8) = 48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
Solve: 10x + 8 > 128 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 12 |
Solve for x: -7(x + 2) = 49 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve for x: 4(x + -1) = -20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
What is 108% of 175? | Compute the percent value (integer-safe). | Compute 108/100 × 175. | 189 |
If each item costs 3 dollars and the total cost is 66, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
Solve for x: 7(x + -1) = -42 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
What is 44% of 25? | Compute the percent value (integer-safe). | Compute 44/100 × 25. | 11 |
Simplify: -4x + 7x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 4y |
Simplify: 5x + 1x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x + 8y |
Solve: |-4x + 17| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve for x: 8(x + 8) = 152 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve: 3x + 16 < 13 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -1 |
Solve: |-7x + 20| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 5 |
If each item costs 4 dollars and the total cost is -12, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -3 |
If each item costs 10 dollars and the total cost is -20, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -2 |
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