question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
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. | 27 |
Simplify: -8x + -7x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -15x + 5y |
Solve: |-6x + -14| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |1x + 11| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -16 ≤ x ≤ -6 |
Solve for x: -12x + -15 = -159 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 12 |
Solve for x: 7x + -30 = 19 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 7 |
Solve: |3x + 11| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ -3 |
What is -50% of 20? | Compute the percent value (integer-safe). | Compute -50/100 × 20. | -10 |
Simplify: 8x + -7x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 1y |
Solve: |-1x + 7| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 13 |
Simplify: -4x + 7x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 6y |
Simplify: 1x + -1x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2y |
What is -4% of 175? | Compute the percent value (integer-safe). | Compute -4/100 × 175. | -7 |
If each item costs -8 dollars and the total cost is 152, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -19 |
Solve: |1x + -16| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 12 ≤ x ≤ 20 |
If each item costs -6 dollars and the total cost is 66, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
Simplify: 6x + -8x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x + 3y |
Solve for x: -7x + -22 = 34 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -8 |
Solve for x: 12x + -8 = 196 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 17 |
Solve: 1x + -8 > 1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 9 |
Solve for x: -2(x + 6) = -28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve: |-2x + 18| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 15 |
Solve: |-3x + 2| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 4 |
Solve: |-8x + -2| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 4(x + 7) = 72 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve: |4x + 9| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3 |
Solve: -9x + -8 ≥ -17 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 1 |
Solve: 9x + -1 < 125 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 14 |
What is 141% of 400? | Compute the percent value (integer-safe). | Compute 141/100 × 400. | 564 |
Solve for x: -12x + 13 = 205 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -16 |
Solve: |5x + -6| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -4x + 0x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 1y |
Solve: |6x + -9| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -1x + -9 = -23 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve for x: -5x + -1 = 54 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
If each item costs 18 dollars and the total cost is -90, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -5 |
Solve: -9x + 10 ≤ 19 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -1 |
Solve for x: -7x + 14 = -105 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 17 |
If each item costs 12 dollars and the total cost is -204, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -17 |
Solve for x: -1(x + -10) = 14 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
What is 15% of 120? | Compute the percent value (integer-safe). | Compute 15/100 × 120. | 18 |
Simplify: -5x + -4x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x - 1y |
If each item costs 11 dollars and the total cost is 0, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 0 |
Solve for x: 1(x + -1) = -5 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Simplify: 5x + -7x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x + 4y |
Solve: |-7x + -1| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 0 |
What is -42% of 400? | Compute the percent value (integer-safe). | Compute -42/100 × 400. | -168 |
Solve: |-6x + -3| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 7x + -11 = -95 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
If each item costs 3 dollars and the total cost is 72, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 24 |
Simplify: 8x + 8x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 16x - 7y |
Solve for x: 7x + 19 = -86 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
Solve: |1x + -10| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 14, 6 |
Simplify: 2x + 8x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x - 2y |
Solve for x: 7(x + -2) = -70 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
Solve for x: 7(x + -14) = -28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
Simplify: 0x + 4x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x - 7y |
Solve: |-7x + 17| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 4 |
Solve: 9x + 6 ≤ 69 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 7 |
Solve: -2x + -17 ≤ -37 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 10 |
Simplify: 7x + 3x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x - 6y |
Solve: |4x + -10| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 34% of 100? | Compute the percent value (integer-safe). | Compute 34/100 × 100. | 34 |
Solve for x: -6x + 5 = 101 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -16 |
Simplify: -6x + 6x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7y |
What is 23% of 400? | Compute the percent value (integer-safe). | Compute 23/100 × 400. | 92 |
Solve: |5x + 0| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |1x + 0| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 6, -6 |
Solve for x: 2(x + 2) = -26 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
Solve: |6x + 15| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -2 |
What is 57% of 400? | Compute the percent value (integer-safe). | Compute 57/100 × 400. | 228 |
Simplify: 5x + -7x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 6y |
What is 2% of 200? | Compute the percent value (integer-safe). | Compute 2/100 × 200. | 4 |
Solve: |7x + -12| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 2 |
Simplify: 5x + -1x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x + 2y |
Solve for x: 5x + -4 = 36 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve for x: 8x + -14 = -174 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -20 |
If each item costs 15 dollars and the total cost is -60, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
Solve: 5x + -7 ≥ -92 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -17 |
If each item costs -10 dollars and the total cost is -300, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 30 |
Solve: |-6x + 14| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 2 |
What is 146% of 100? | Compute the percent value (integer-safe). | Compute 146/100 × 100. | 146 |
What is 46% of 250? | Compute the percent value (integer-safe). | Compute 46/100 × 250. | 115 |
If each item costs 4 dollars and the total cost is -16, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
Solve for x: 2x + 11 = 27 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve: |-3x + 8| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3 |
Solve: |-3x + -9| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3 |
Simplify: 0x + 4x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x - 3y |
Solve: |2x + 12| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ -5 |
If each item costs 18 dollars and the total cost is 144, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 8 |
Solve for x: -5x + -20 = -40 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 4 |
Solve for x: 1(x + 10) = 25 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve for x: 4x + -17 = 47 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
What is 102% of 50? | Compute the percent value (integer-safe). | Compute 102/100 × 50. | 51 |
Solve for x: 6(x + 14) = 6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve: 1x + -6 ≥ 1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 7 |
Solve: |-6x + 14| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -7(x + 3) = 14 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Solve: |8x + -8| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 2 |
Solve: -1x + -16 > -10 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -6 |
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