question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve: |1x + 6| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -14 ≤ x ≤ 2 |
Simplify: -7x + 3x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x |
Solve for x: 6(x + -7) = -102 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
What is 78% of 300? | Compute the percent value (integer-safe). | Compute 78/100 × 300. | 234 |
What is 76% of 100? | Compute the percent value (integer-safe). | Compute 76/100 × 100. | 76 |
Solve: 5x + -20 ≥ 40 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 12 |
Solve: |2x + 20| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -18 ≤ x ≤ -2 |
Solve for x: 8(x + 10) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
What is -42% of 200? | Compute the percent value (integer-safe). | Compute -42/100 × 200. | -84 |
Solve for x: -6(x + 4) = 60 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Solve for x: 11x + -19 = 14 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 3 |
Solve: |-3x + 12| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 7 |
Simplify: 3x + 0x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x + 3y |
What is -42% of 350? | Compute the percent value (integer-safe). | Compute -42/100 × 350. | -147 |
What is 28% of 25? | Compute the percent value (integer-safe). | Compute 28/100 × 25. | 7 |
Solve: 3x + 16 > 37 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 7 |
Solve: |3x + -4| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 3 |
Solve: |7x + -13| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 9x + -18 = -18 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
Simplify: 6x + 4x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x - 6y |
If each item costs -6 dollars and the total cost is 48, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -8 |
Solve: |5x + 11| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 0 |
Solve for x: -2x + 14 = 0 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 7 |
Solve for x: 4x + -17 = 47 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
Solve: -5x + -6 > 89 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -19 |
Solve for x: 12x + 20 = 56 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 3 |
What is 149% of 900? | Compute the percent value (integer-safe). | Compute 149/100 × 900. | 1341 |
Solve for x: 2(x + 15) = 16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
If each item costs 15 dollars and the total cost is 330, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
Solve for x: -7x + -8 = 62 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -10 |
Solve for x: -7(x + -6) = 63 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve: |-8x + 5| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
Solve for x: 4(x + -14) = -68 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve: |-3x + 10| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
What is 68% of 225? | Compute the percent value (integer-safe). | Compute 68/100 × 225. | 153 |
Solve: |5x + -11| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 5 |
Simplify: 7x + 5x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 12x + 4y |
Solve: -1x + -4 > -14 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 10 |
Solve for x: 5(x + 9) = 75 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
What is -6% of 300? | Compute the percent value (integer-safe). | Compute -6/100 × 300. | -18 |
Solve: |2x + -19| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 4 ≤ x ≤ 15 |
Simplify: -4x + -4x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x - 3y |
Solve: 3x + 5 ≤ -37 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -14 |
Solve: |-7x + 8| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 19% of 500? | Compute the percent value (integer-safe). | Compute 19/100 × 500. | 95 |
If each item costs 5 dollars and the total cost is -90, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -18 |
If each item costs 17 dollars and the total cost is 323, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 19 |
Solve: -10x + 12 < -18 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 3 |
If each item costs 17 dollars and the total cost is -170, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -10 |
Solve: |-5x + 12| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 3 |
Solve for x: 2(x + 1) = 16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Solve for x: 3x + 9 = 66 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 19 |
Solve: 2x + 19 ≥ 39 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 10 |
Solve for x: -7(x + 3) = 63 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve for x: 5x + 27 = 127 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 20 |
Solve: |2x + -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 -8 dollars and the total cost is -184, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 23 |
Solve for x: 4(x + -12) = -72 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
Solve: |1x + 18| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -34 ≤ x ≤ -2 |
Solve: |-1x + -6| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -24, 12 |
Solve: 6x + -5 < -17 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -2 |
Solve: |2x + 13| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ -6 |
Solve for x: 3x + -4 = 44 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
Simplify: -4x + -7x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x + 6y |
If each item costs 8 dollars and the total cost is 120, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 15 |
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. | 28 |
Solve: |-8x + 3| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 9x + 10 < 118 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 12 |
Solve for x: 7x + -16 = 26 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
Solve: |2x + 3| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 6, -9 |
Solve: |8x + -9| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 59% of 900? | Compute the percent value (integer-safe). | Compute 59/100 × 900. | 531 |
Solve: 7x + 17 > -39 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -8 |
Solve: -9x + -2 ≥ 115 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -13 |
If each item costs -2 dollars and the total cost is -6, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 3 |
Solve for x: -4x + -24 = -68 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 11 |
Solve for x: -7(x + 6) = -133 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
If each item costs -6 dollars and the total cost is -30, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 5 |
Simplify: -4x + -8x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -12x + 5y |
Solve: |-4x + -19| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ -4 |
Solve: 7x + 20 > 20 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 0 |
Solve for x: 4(x + -8) = -80 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
If each item costs -6 dollars and the total cost is 72, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -12 |
Solve for x: -7(x + -1) = -63 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
Solve: |-1x + 14| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 9 ≤ x ≤ 19 |
Simplify: 2x + 6x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x + 8y |
Solve: |5x + -16| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 5 |
Solve: 6x + -18 ≥ 30 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 8 |
If each item costs -9 dollars and the total cost is 180, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -20 |
If each item costs -3 dollars and the total cost is -30, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 10 |
Solve: |-8x + 8| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 3 |
Solve: |1x + 15| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -33 ≤ x ≤ 3 |
If each item costs 2 dollars and the total cost is 44, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
Solve: |-3x + 9| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 4x + -5x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 4y |
What is 10% of 50? | Compute the percent value (integer-safe). | Compute 10/100 × 50. | 5 |
If each item costs 16 dollars and the total cost is -208, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -13 |
Solve for x: -1(x + 14) = -28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
Simplify: 4x + -6x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x + 4y |
Solve: 1x + -17 < -21 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -4 |
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