question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve for x: 6x + -24 = 48 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 12 |
What is 22% of 450? | Compute the percent value (integer-safe). | Compute 22/100 × 450. | 99 |
Solve for x: -4x + -14 = -66 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Solve for x: -2(x + -2) = -26 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
What is 98% of 200? | Compute the percent value (integer-safe). | Compute 98/100 × 200. | 196 |
Solve: -3x + 13 < 52 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -13 |
Solve for x: 9x + 18 = -27 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -5 |
Solve: |-7x + 11| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 4 |
Solve for x: 2(x + 3) = -10 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
If each item costs 11 dollars and the total cost is 187, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 17 |
Solve: -5x + -8 < 62 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -14 |
Solve: |-7x + -6| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 0 |
Solve: 8x + -5 ≥ 155 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 20 |
Solve: 1x + 17 > -3 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -20 |
Solve: |-5x + 5| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 3 |
If each item costs 12 dollars and the total cost is -24, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -2 |
Simplify: 6x + -8x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 8y |
Solve: |-6x + 5| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 1 |
Simplify: -5x + -4x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x + 5y |
Solve for x: 3x + 24 = -30 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
Solve: |1x + 3| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 15, -21 |
Solve: 5x + 17 ≤ -38 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -11 |
Solve: |-1x + -18| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -35 ≤ x ≤ -1 |
Solve: 2x + -12 > -26 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -7 |
Solve: |8x + 9| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 0 |
What is 15% of 20? | Compute the percent value (integer-safe). | Compute 15/100 × 20. | 3 |
Solve: |-6x + 1| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 1 |
Solve for x: 2(x + -1) = 2 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
Solve: 8x + 18 ≥ -86 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -13 |
Solve: |3x + -5| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 7 |
Solve: |-5x + -13| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2 |
Solve for x: -6(x + -10) = 60 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
Simplify: -5x + 2x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 4y |
What is -22% of 300? | Compute the percent value (integer-safe). | Compute -22/100 × 300. | -66 |
Solve: 8x + 18 ≤ -126 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -18 |
What is 118% of 50? | Compute the percent value (integer-safe). | Compute 118/100 × 50. | 59 |
Solve for x: 2(x + 4) = 24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
What is 149% of 1000? | Compute the percent value (integer-safe). | Compute 149/100 × 1000. | 1490 |
Solve: |-2x + -12| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -7, -5 |
If each item costs -9 dollars and the total cost is -90, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 10 |
What is 137% of 300? | Compute the percent value (integer-safe). | Compute 137/100 × 300. | 411 |
If each item costs 8 dollars and the total cost is -96, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -12 |
Solve: 8x + 7 > -9 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -2 |
Solve: |-6x + -5| = 2 | 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. | -2 |
Simplify: 2x + -5x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x + 4y |
Solve for x: 7(x + 12) = 42 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
Solve for x: 1(x + 2) = 10 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve for x: -9x + 18 = 126 | 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 -54, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -18 |
What is 143% of 100? | Compute the percent value (integer-safe). | Compute 143/100 × 100. | 143 |
Solve: |-1x + 9| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -11, 29 |
Solve: |8x + 13| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -1 |
If each item costs -1 dollars and the total cost is -5, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 5 |
Solve: |1x + 16| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -26 ≤ x ≤ -6 |
Solve: 2x + 20 ≤ 40 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 10 |
Solve: -3x + 10 > -11 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 7 |
Solve for x: 8x + 23 = -1 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Simplify: -8x + 6x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x + 8y |
Solve: -4x + -5 ≤ -13 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 2 |
Solve: |-2x + -1| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 5 |
Solve: 1x + -2 < 1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 3 |
Solve for x: -1x + -5 = -10 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 5 |
Solve: |-6x + 15| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 3 |
Solve for x: -11x + -4 = -136 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 12 |
If each item costs 10 dollars and the total cost is 140, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 14 |
Simplify: 1x + -8x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x + 1y |
Solve for x: -4x + 24 = -28 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Solve for x: 6x + 18 = 36 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 3 |
Solve for x: -2(x + 9) = -12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve: |2x + -7| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 13 |
Simplify: 1x + -2x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x + 3y |
Solve for x: -8(x + 10) = -64 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
Solve for x: 8(x + -13) = -216 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Solve for x: 6(x + -15) = -78 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
Solve: |-4x + -9| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 20 dollars and the total cost is 40, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
If each item costs -6 dollars and the total cost is -60, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 10 |
Solve: |3x + -4| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 5 |
Solve: 3x + 10 ≤ -32 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -14 |
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. | 12 |
Solve: 10x + 10 ≥ 60 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 5 |
Solve for x: 2x + 27 = 5 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
Solve: -8x + 0 ≤ 40 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -5 |
Solve: 5x + -11 ≥ -91 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -16 |
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 |
What is 87% of 300? | Compute the percent value (integer-safe). | Compute 87/100 × 300. | 261 |
What is -5% of 60? | Compute the percent value (integer-safe). | Compute -5/100 × 60. | -3 |
If each item costs 4 dollars and the total cost is 8, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Solve for x: -5x + 9 = -31 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve for x: -6x + 4 = -56 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
Solve: |-5x + -7| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 0 |
Solve: |4x + -11| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 6 |
Solve for x: 5x + -21 = 54 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
Solve: |7x + -8| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 2 |
Solve: -4x + -15 < -55 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 10 |
Solve for x: -2(x + 3) = -8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve: -1x + 19 ≥ 13 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 6 |
What is 103% of 600? | Compute the percent value (integer-safe). | Compute 103/100 × 600. | 618 |
Solve: |-1x + -1| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -9, 7 |
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