question stringlengths 16 86 | problem stringclasses 8 values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve: |-4x + -12| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -4, -2 |
Simplify: 0x + 0x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6y |
Solve for x: 8(x + 12) = 200 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Simplify: -7x + 4x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 8y |
Solve: |1x + 4| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 6, -14 |
Solve: |-7x + -11| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 0 |
Simplify: 2x + 2x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x + 7y |
Solve: -5x + 8 < 83 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -15 |
Solve: |8x + 14| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is -47% of 600? | Compute the percent value (integer-safe). | Compute -47/100 × 600. | -282 |
If each item costs 13 dollars and the total cost is 390, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 30 |
Solve: -4x + 16 > -48 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 16 |
Solve for x: 4(x + 3) = 40 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Simplify: 8x + -6x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 2y |
Solve: |7x + 2| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3 |
Solve: |-2x + 5| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-6x + 15| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
What is 89% of 200? | Compute the percent value (integer-safe). | Compute 89/100 × 200. | 178 |
Solve for x: -1(x + 3) = 5 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
Solve: |4x + 0| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-8x + 0| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 1 |
If each item costs -9 dollars and the total cost is 171, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -19 |
If each item costs 18 dollars and the total cost is -288, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -16 |
Solve for x: 2(x + 1) = 30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
Solve for x: -6(x + 4) = -18 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Solve: |4x + 1| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 4 |
Solve: |-4x + -11| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 139% of 500? | Compute the percent value (integer-safe). | Compute 139/100 × 500. | 695 |
Solve: |2x + -19| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 9 ≤ x ≤ 10 |
What is 62% of 250? | Compute the percent value (integer-safe). | Compute 62/100 × 250. | 155 |
Solve for x: -4(x + -12) = 52 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
What is 90% of 10? | Compute the percent value (integer-safe). | Compute 90/100 × 10. | 9 |
What is -18% of 150? | Compute the percent value (integer-safe). | Compute -18/100 × 150. | -27 |
Solve: |-3x + -6| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 1 |
Solve: |-6x + -11| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -7x + 3x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 3y |
What is 82% of 400? | Compute the percent value (integer-safe). | Compute 82/100 × 400. | 328 |
Simplify: 5x + 3x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x + 7y |
Solve: |-8x + 19| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 3 |
Solve for x: 6(x + -4) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
Simplify: 0x + -8x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x + 6y |
Solve: |1x + 8| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 12, -28 |
Solve: |8x + -15| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 7(x + -14) = -14 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 12 |
Solve for x: 12x + -3 = 69 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
Simplify: -6x + -8x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -14x + 8y |
What is 80% of 0? | Compute the percent value (integer-safe). | Compute 80/100 × 0. | 0 |
Simplify: -7x + -4x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x + 5y |
If each item costs 13 dollars and the total cost is -104, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -8 |
Solve for x: -9x + 18 = 0 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
Solve: -10x + 19 > 9 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 1 |
Solve: |-2x + -6| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 0 |
Solve for x: 10x + 12 = -158 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
Solve: |7x + 0| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 0 |
Solve: |-7x + 4| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve for x: 7x + -23 = -30 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -1 |
What is 46% of 0? | Compute the percent value (integer-safe). | Compute 46/100 × 0. | 0 |
What is 83% of 700? | Compute the percent value (integer-safe). | Compute 83/100 × 700. | 581 |
Solve for x: 2x + 1 = 37 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 18 |
What is 94% of 350? | Compute the percent value (integer-safe). | Compute 94/100 × 350. | 329 |
Solve for x: -8(x + -8) = 136 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve: |3x + -4| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 6 |
Simplify: 8x + 4x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 12x + 8y |
If each item costs -9 dollars and the total cost is 99, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
Solve for x: 6(x + -11) = 18 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
Simplify: -5x + 2x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 1y |
What is 57% of 900? | Compute the percent value (integer-safe). | Compute 57/100 × 900. | 513 |
Solve for x: 12x + -29 = -89 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -5 |
Solve for x: -8(x + 4) = 88 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
Solve: -1x + -15 ≥ -18 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 3 |
Solve for x: 4x + -23 = -39 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve for x: 12x + 17 = 161 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 12 |
Solve: |-1x + 12| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 7, 17 |
Solve for x: -7x + -10 = 32 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -6 |
Solve: |-1x + -20| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -23 ≤ x ≤ -17 |
Solve: |-7x + -2| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 1 |
Solve for x: 4(x + -6) = 28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve for x: -9x + -2 = 97 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
Solve for x: 8x + -12 = -116 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -13 |
Solve for x: 8x + -28 = -76 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -6 |
Simplify: -3x + -2x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x + 8y |
Solve: |8x + 2| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
What is 129% of 300? | Compute the percent value (integer-safe). | Compute 129/100 × 300. | 387 |
Solve for x: -7(x + 12) = -161 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve: 4x + 12 < 28 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 4 |
Solve: -1x + 13 ≥ 5 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 8 |
Simplify: 6x + -1x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x - 5y |
Solve for x: 7x + 4 = 11 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
Solve for x: 8x + 7 = -41 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -6 |
If each item costs 10 dollars and the total cost is 180, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 18 |
What is 6% of 150? | Compute the percent value (integer-safe). | Compute 6/100 × 150. | 9 |
Solve: |6x + -14| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 5 |
Solve: |4x + 13| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ 0 |
Solve for x: 4(x + -5) = -20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
Solve for x: -4(x + 14) = -68 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
Solve: 6x + 14 > 104 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 15 |
Solve: |-7x + 14| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 2 |
If each item costs 20 dollars and the total cost is 200, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 10 |
Solve for x: 3x + 23 = 68 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
Solve: -8x + 2 < 42 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -5 |
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