question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve: |-7x + 4| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
What is -50% of 4? | Compute the percent value (integer-safe). | Compute -50/100 × 4. | -2 |
Solve: 5x + -3 > 32 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 7 |
Solve: |-2x + -13| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -11 ≤ x ≤ -2 |
Solve: 3x + 0 ≤ -51 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -17 |
Solve: |2x + -3| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |4x + -6| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 2 |
Simplify: 2x + 1x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 7y |
Solve for x: 7x + -9 = 33 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
Solve: -7x + 12 < 40 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -4 |
Simplify: -1x + 6x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 7y |
Solve: 9x + 10 > -143 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -17 |
Solve for x: -3(x + 11) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Solve: |6x + 0| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 3 |
Solve: |-3x + -6| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -3(x + 4) = 27 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve: |-3x + -1| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-6x + -18| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ -1 |
Solve: |7x + -12| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 4 |
What is 52% of 25? | Compute the percent value (integer-safe). | Compute 52/100 × 25. | 13 |
Solve for x: -1(x + -11) = 19 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
Solve: |-7x + 15| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 5 |
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 |
Solve: 6x + 10 ≥ -68 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -13 |
Solve: |-5x + 9| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 3 |
Simplify: 7x + -2x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x - 1y |
What is 33% of 0? | Compute the percent value (integer-safe). | Compute 33/100 × 0. | 0 |
Solve: |6x + 11| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -1 |
Solve: |2x + 2| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2, -4 |
Simplify: 5x + -5x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5y |
Solve: |8x + 2| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 1 |
Solve: |-5x + -2| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
What is 65% of 0? | Compute the percent value (integer-safe). | Compute 65/100 × 0. | 0 |
What is -6% of 500? | Compute the percent value (integer-safe). | Compute -6/100 × 500. | -30 |
Solve for x: -1(x + 5) = 9 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Solve: |1x + 2| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -12 ≤ x ≤ 8 |
Solve: |5x + 13| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve: 8x + 5 > 77 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 9 |
What is -21% of 100? | Compute the percent value (integer-safe). | Compute -21/100 × 100. | -21 |
Solve: |-3x + -11| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs -9 dollars and the total cost is -207, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 23 |
Solve: |-1x + 12| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 5 ≤ x ≤ 19 |
If each item costs 3 dollars and the total cost is 36, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 12 |
Simplify: -2x + 2x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4y |
What is 105% of 120? | Compute the percent value (integer-safe). | Compute 105/100 × 120. | 126 |
Solve: 6x + 2 > 98 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 16 |
Solve for x: 10x + 10 = -180 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -19 |
If each item costs 5 dollars and the total cost is 105, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 21 |
Solve: |-4x + -10| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -2 |
Solve: |2x + 5| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |7x + -8| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 3 |
Solve: -3x + -14 > 1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -5 |
Solve: 7x + 3 < -102 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -15 |
Solve: |7x + 6| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 0 |
Solve for x: -1x + -7 = -3 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve: |-1x + 8| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3, 19 |
If each item costs 20 dollars and the total cost is 340, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 17 |
Solve for x: -4x + 3 = 39 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -9 |
Solve for x: -3x + 8 = 59 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
Solve for x: 3x + -3 = -18 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -5 |
Simplify: 5x + 4x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x + 4y |
Solve: 6x + -10 ≥ -94 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -14 |
Solve: |6x + -12| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -5(x + -5) = 50 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
What is -10% of 90? | Compute the percent value (integer-safe). | Compute -10/100 × 90. | -9 |
What is 85% of 160? | Compute the percent value (integer-safe). | Compute 85/100 × 160. | 136 |
If each item costs 17 dollars and the total cost is -102, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -6 |
If each item costs 7 dollars and the total cost is -28, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
Solve: |3x + 15| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |7x + 17| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 0 |
What is -48% of 50? | Compute the percent value (integer-safe). | Compute -48/100 × 50. | -24 |
Solve: -8x + 19 > 27 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -1 |
If each item costs -2 dollars and the total cost is 2, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -1 |
Solve for x: -6(x + 8) = 24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Simplify: -4x + -7x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x + 8y |
Solve: |-5x + -9| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -4 |
Solve: 10x + 15 ≥ -125 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -14 |
Solve for x: 6x + 24 = 90 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 11 |
Solve: 7x + -1 ≥ -134 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -19 |
Solve: |8x + 12| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -1 |
Solve for x: 12x + 24 = -180 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
Solve: |4x + -9| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 5x + -8x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x + 6y |
Solve: |7x + -13| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 2 |
What is 142% of 350? | Compute the percent value (integer-safe). | Compute 142/100 × 350. | 497 |
What is 101% of 100? | Compute the percent value (integer-safe). | Compute 101/100 × 100. | 101 |
Solve: -10x + 6 ≥ 136 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -13 |
If each item costs -6 dollars and the total cost is -36, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 6 |
Solve: 4x + -2 > -74 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -18 |
If each item costs 10 dollars and the total cost is 110, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 11 |
Solve: 10x + -18 ≤ 152 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 17 |
Solve: |3x + -3| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 7 |
Solve for x: 2(x + 2) = 26 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve: |6x + -18| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 3 |
What is 132% of 125? | Compute the percent value (integer-safe). | Compute 132/100 × 125. | 165 |
If each item costs 17 dollars and the total cost is -68, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
Simplify: 6x + 4x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x - 1y |
If each item costs 5 dollars and the total cost is -20, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
Solve: -10x + 14 < 24 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -1 |
Solve for x: -3(x + 12) = -60 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
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