question stringlengths 16 86 | problem stringclasses 8 values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve: 8x + -17 < -129 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -14 |
Solve: |8x + 1| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -4(x + 0) = 40 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Solve for x: -1(x + 4) = -11 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
If each item costs 10 dollars and the total cost is 210, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 21 |
If each item costs 7 dollars and the total cost is -98, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -14 |
Solve: |6x + 6| ≤ 2 | 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 + -12) = 72 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
What is 125% of 32? | Compute the percent value (integer-safe). | Compute 125/100 × 32. | 40 |
Solve: |8x + 12| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 0 |
Solve for x: 4(x + -15) = -72 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
What is -37% of 400? | Compute the percent value (integer-safe). | Compute -37/100 × 400. | -148 |
Simplify: 8x + -7x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 5y |
Solve for x: 5(x + -1) = -40 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve for x: 1x + -2 = -2 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
Solve: 3x + 13 ≥ -11 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -8 |
Simplify: -6x + -8x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -14x + 1y |
Solve: -9x + -16 < -133 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 13 |
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. | -20 |
What is 51% of 900? | Compute the percent value (integer-safe). | Compute 51/100 × 900. | 459 |
Simplify: -7x + -1x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x + 4y |
If each item costs 4 dollars and the total cost is 56, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 14 |
What is 11% of 300? | Compute the percent value (integer-safe). | Compute 11/100 × 300. | 33 |
If each item costs 2 dollars and the total cost is 52, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 26 |
If each item costs -8 dollars and the total cost is -80, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 10 |
Solve: |5x + 9| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -12x + 7 = 175 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -14 |
What is -40% of 5? | Compute the percent value (integer-safe). | Compute -40/100 × 5. | -2 |
Solve for x: 8(x + -1) = 56 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
If each item costs 10 dollars and the total cost is 240, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 24 |
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 |
Simplify: -7x + -4x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x - 5y |
What is 51% of 400? | Compute the percent value (integer-safe). | Compute 51/100 × 400. | 204 |
Solve for x: 5(x + 9) = 110 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve for x: -3x + 23 = 23 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
Solve: 2x + -6 < -34 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -14 |
Solve for x: 7(x + -4) = 14 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
Solve: |1x + -5| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 7, 3 |
Solve: |-3x + 9| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 4 |
Solve for x: -5x + 13 = 88 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
What is 111% of 100? | Compute the percent value (integer-safe). | Compute 111/100 × 100. | 111 |
Simplify: -6x + -7x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -13x + 5y |
If each item costs 3 dollars and the total cost is 78, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 26 |
Solve: |4x + -8| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs -7 dollars and the total cost is -119, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 17 |
Solve for x: 3x + 26 = 71 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
Solve: 6x + 16 < 106 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 15 |
Solve: -2x + -15 < -5 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -5 |
Solve for x: 5x + -22 = -107 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
Simplify: -2x + 6x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x |
Solve for x: -8(x + -4) = -88 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
What is 21% of 700? | Compute the percent value (integer-safe). | Compute 21/100 × 700. | 147 |
Solve: |8x + -2| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |2x + -5| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 6x + -4 ≥ 80 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 14 |
Solve for x: 5x + -7 = -87 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -16 |
Solve: |5x + -2| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Simplify: -5x + 8x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x + 1y |
Solve: |7x + 5| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -2(x + -13) = 10 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
If each item costs -4 dollars and the total cost is 16, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -4 |
If each item costs -3 dollars and the total cost is -84, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 28 |
Solve: |-7x + 2| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 7x + 17 < -11 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -4 |
Solve: |-6x + 14| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 3 |
If each item costs 20 dollars and the total cost is 180, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 9 |
If each item costs 14 dollars and the total cost is -14, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -1 |
Solve for x: -4x + -19 = -71 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Solve for x: -5(x + 10) = -25 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Solve for x: 2(x + 13) = 44 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve for x: 1(x + 15) = 10 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Solve for x: -6x + 5 = 77 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
What is -18% of 200? | Compute the percent value (integer-safe). | Compute -18/100 × 200. | -36 |
Solve for x: -3x + -18 = -66 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
What is 0% of 10? | Compute the percent value (integer-safe). | Compute 0/100 × 10. | 0 |
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. | 26 |
Solve for x: -3(x + -13) = 6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Simplify: 6x + -1x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x - 6y |
Solve: |8x + -19| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 2 |
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 + -5) = -12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve for x: 5(x + 8) = 20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Solve: |7x + -1| = 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 -144, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 16 |
Solve: |7x + -9| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 6x + 0x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x - 1y |
Solve: |-1x + -2| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -2 |
Simplify: 8x + 1x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x - 5y |
Solve: |5x + 11| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
What is -37% of 200? | Compute the percent value (integer-safe). | Compute -37/100 × 200. | -74 |
What is -27% of 0? | Compute the percent value (integer-safe). | Compute -27/100 × 0. | 0 |
Solve: |4x + 15| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ -1 |
Solve for x: 1x + -3 = 11 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Simplify: -6x + -5x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x + 8y |
Solve for x: -5x + 16 = 1 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 3 |
Solve: 1x + 7 ≤ 15 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 8 |
Solve: |-3x + 14| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
Solve: |-3x + 8| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 9 |
Solve: -5x + 4 < 84 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -16 |
Solve for x: -7(x + 15) = -70 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
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