question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve: 2x + -17 < -7 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 5 |
Solve for x: -1x + 16 = 9 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 7 |
Solve: -3x + -20 ≥ -2 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -6 |
Solve: |-6x + 5| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 2 |
Solve: |8x + -4| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1, 0 |
Solve for x: 8(x + 3) = -88 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Solve for x: 5(x + 6) = 65 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Solve for x: 1(x + 6) = -8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
What is 141% of 0? | Compute the percent value (integer-safe). | Compute 141/100 × 0. | 0 |
Solve: 4x + 14 ≥ -30 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -11 |
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 |
What is 128% of 100? | Compute the percent value (integer-safe). | Compute 128/100 × 100. | 128 |
Solve: 8x + 3 > -77 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -10 |
Solve for x: -7x + -24 = 46 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
Solve: |-6x + 20| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve: -1x + -1 > -13 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 12 |
Solve: |7x + 1| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 2 |
Solve: |-7x + -19| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ -2 |
Solve: |-8x + -5| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 1 |
What is 31% of 600? | Compute the percent value (integer-safe). | Compute 31/100 × 600. | 186 |
Solve: 1x + 12 < 27 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 15 |
What is -14% of 500? | Compute the percent value (integer-safe). | Compute -14/100 × 500. | -70 |
What is 110% of 70? | Compute the percent value (integer-safe). | Compute 110/100 × 70. | 77 |
If each item costs 11 dollars and the total cost is 154, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 14 |
What is -34% of 0? | Compute the percent value (integer-safe). | Compute -34/100 × 0. | 0 |
Solve: |-6x + 13| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
Solve: |-4x + 6| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -5x + 1x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 2y |
Simplify: 1x + -8x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x - 2y |
Solve: |8x + -16| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 2 |
What is 16% of 200? | Compute the percent value (integer-safe). | Compute 16/100 × 200. | 32 |
Solve: 3x + -17 ≥ 37 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 18 |
What is 47% of 1000? | Compute the percent value (integer-safe). | Compute 47/100 × 1000. | 470 |
Simplify: -7x + 1x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x + 5y |
What is 49% of 1000? | Compute the percent value (integer-safe). | Compute 49/100 × 1000. | 490 |
Solve: 10x + -18 > 22 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 4 |
What is 33% of 300? | Compute the percent value (integer-safe). | Compute 33/100 × 300. | 99 |
Solve: |1x + -1| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 12, -10 |
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 |
Solve: -5x + -3 > -78 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 15 |
If each item costs 2 dollars and the total cost is -8, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
Solve for x: -3x + 2 = -40 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve: |-7x + 5| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 3 |
Solve: |3x + -18| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 9 |
If each item costs 4 dollars and the total cost is -44, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
Solve for x: -7(x + -8) = 119 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve for x: -3(x + -7) = 3 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
Solve: 6x + -4 ≥ -100 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -16 |
Solve: |-4x + 6| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve: |-4x + -20| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -9 ≤ x ≤ -1 |
Solve: |7x + 13| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -1 |
Simplify: 2x + 2x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x + 8y |
What is 143% of 500? | Compute the percent value (integer-safe). | Compute 143/100 × 500. | 715 |
What is 67% of 400? | Compute the percent value (integer-safe). | Compute 67/100 × 400. | 268 |
Simplify: 3x + 8x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 11x + 1y |
Simplify: -7x + -3x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -10x |
What is 119% of 500? | Compute the percent value (integer-safe). | Compute 119/100 × 500. | 595 |
Solve for x: 8(x + -1) = 56 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve: |-5x + 19| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 7 |
Solve: 2x + -10 ≤ 2 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 6 |
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: -5(x + 12) = -95 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Solve: |-2x + 14| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 13 |
Solve for x: -10x + 25 = -5 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 3 |
Simplify: -7x + 1x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x - 1y |
Solve: |8x + -11| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 3 |
Solve: |-7x + -13| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -1 |
Solve: -6x + -9 ≤ 45 | 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 + 15) = 16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve: 4x + 16 < 48 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 8 |
Solve: 2x + -9 < 17 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 13 |
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 |
Solve: |-3x + -8| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 0 |
Solve for x: -3x + 1 = 52 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
Simplify: 4x + 0x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x - 1y |
Simplify: -7x + 0x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x - 5y |
Solve for x: 3(x + -5) = -12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve for x: -8(x + 6) = -8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Solve: |-4x + 16| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 8 |
Solve: |-2x + -10| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -14, 4 |
What is 39% of 400? | Compute the percent value (integer-safe). | Compute 39/100 × 400. | 156 |
Solve for x: -2(x + -3) = 18 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
Solve: |6x + -8| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-6x + -14| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |1x + 9| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0, -18 |
Simplify: 2x + -8x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x - 7y |
Solve: |3x + -7| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 5 |
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: |-7x + 15| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 108% of 75? | Compute the percent value (integer-safe). | Compute 108/100 × 75. | 81 |
Solve for x: 5x + -28 = 32 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 12 |
Solve: -7x + 13 < -64 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 11 |
If each item costs 15 dollars and the total cost is 255, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 17 |
Solve for x: 12x + -5 = -89 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -7 |
Solve: |-5x + -14| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -5 |
Solve: |5x + 10| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |6x + 15| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -3x + -3x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x |
Solve: |4x + 12| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ -1 |
Simplify: 3x + -4x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 8y |
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