question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve: |-5x + 0| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 1 |
Solve for x: -6(x + 5) = -66 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
Solve: 4x + 12 ≥ -4 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -4 |
Solve: |-2x + 0| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -3x + 15 > -24 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 13 |
Simplify: -8x + -1x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x - 2y |
Solve: -9x + 3 < 66 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -7 |
Solve: 3x + 8 > 29 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 7 |
Solve for x: -7x + 27 = -92 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 17 |
Solve for x: 4(x + -1) = -56 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve for x: -1(x + 15) = -2 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve for x: 8(x + -5) = -16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
What is 72% of 175? | Compute the percent value (integer-safe). | Compute 72/100 × 175. | 126 |
What is -32% of 125? | Compute the percent value (integer-safe). | Compute -32/100 × 125. | -40 |
Solve for x: -1(x + -2) = 8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
Solve: -10x + 0 > 50 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -5 |
If each item costs -10 dollars and the total cost is -90, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 9 |
Solve: |8x + -15| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
Simplify: 5x + 2x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x + 3y |
If each item costs 5 dollars and the total cost is -15, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -3 |
If each item costs -3 dollars and the total cost is 0, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 0 |
Solve: -2x + 1 ≥ 39 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -19 |
Solve: |-4x + -4| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3, 1 |
Simplify: -1x + 8x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x |
What is 62% of 0? | Compute the percent value (integer-safe). | Compute 62/100 × 0. | 0 |
Solve: 3x + 17 < 5 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -4 |
Solve: |4x + 10| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 65% of 40? | Compute the percent value (integer-safe). | Compute 65/100 × 40. | 26 |
Solve: |1x + 3| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -21 ≤ x ≤ 15 |
Solve for x: -2(x + 0) = -10 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Simplify: 2x + 0x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 5y |
Solve: |2x + 7| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve: 7x + 8 ≤ -48 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -8 |
Solve: |2x + 11| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
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: |6x + 8| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 0 |
Solve: |5x + -1| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 0 |
Solve: |3x + 19| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -9 ≤ x ≤ -4 |
Simplify: 0x + 8x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x - 7y |
Solve: 7x + 20 < -22 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -6 |
Solve: |6x + 17| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -2 |
Solve: |-6x + -6| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 2 |
If each item costs 13 dollars and the total cost is -65, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -5 |
Solve for x: 8x + 12 = 20 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
Solve: |7x + -12| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 1(x + 15) = 2 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
What is -36% of 150? | Compute the percent value (integer-safe). | Compute -36/100 × 150. | -54 |
Solve: 1x + 3 ≥ 10 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 7 |
Solve for x: -7(x + 8) = 14 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Solve for x: -7(x + 7) = -70 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
Solve: |-1x + 1| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -8, 10 |
Solve: -9x + 2 ≤ -124 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 14 |
If each item costs 2 dollars and the total cost is 22, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 11 |
Solve for x: 6(x + 6) = -18 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve: -7x + 17 ≥ 129 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -16 |
Solve: 8x + -17 > -49 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -4 |
Solve: |-1x + 19| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 8 ≤ x ≤ 30 |
If each item costs 12 dollars and the total cost is 96, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 8 |
Solve: |4x + 5| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 2 |
Solve: 4x + -4 < 72 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 19 |
Solve: |-2x + 10| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 9 |
Solve for x: -4x + -1 = 75 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -19 |
What is 101% of 700? | Compute the percent value (integer-safe). | Compute 101/100 × 700. | 707 |
Solve: |-5x + 17| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 5 |
What is 60% of 30? | Compute the percent value (integer-safe). | Compute 60/100 × 30. | 18 |
Solve for x: 10x + 4 = 194 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 19 |
Solve: -6x + 6 ≥ 54 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -8 |
Solve: |5x + -12| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 4 |
If each item costs 10 dollars and the total cost is 70, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 7 |
Solve for x: 5x + -23 = 62 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 17 |
If each item costs 12 dollars and the total cost is 336, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 28 |
Simplify: -2x + -5x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x - 3y |
Simplify: 5x + 5x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x - 4y |
Solve: |-2x + 8| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 6 |
Solve: |-8x + 14| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve: -9x + -1 > 53 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -6 |
Solve for x: 3x + 17 = 71 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 18 |
Solve: 7x + 17 > -46 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -9 |
Simplify: 3x + 5x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x + 5y |
Solve: -9x + -7 ≥ -151 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 16 |
Solve: |-4x + -19| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ -4 |
Solve: 2x + -3 > -39 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -18 |
Solve: |-8x + -14| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 7x + -6 = -55 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -7 |
Solve: |3x + 10| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 7(x + -5) = -70 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Solve for x: 4x + 1 = -67 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
Simplify: 0x + 6x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x + 6y |
What is 125% of 8? | Compute the percent value (integer-safe). | Compute 125/100 × 8. | 10 |
Solve: 7x + 4 ≥ 74 | 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) = -60 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
Solve: -8x + 2 < -150 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 19 |
Solve: |3x + -12| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 4 ≤ x ≤ 4 |
Simplify: 5x + 4x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x + 2y |
What is -6% of 500? | Compute the percent value (integer-safe). | Compute -6/100 × 500. | -30 |
Solve: |6x + 18| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ -1 |
Simplify: 4x + -2x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 5y |
What is -4% of 250? | Compute the percent value (integer-safe). | Compute -4/100 × 250. | -10 |
What is 25% of 4? | Compute the percent value (integer-safe). | Compute 25/100 × 4. | 1 |
Solve: |6x + -12| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 3 |
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