question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve: |-7x + 15| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 2 |
Simplify: 8x + -5x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 3y |
Simplify: 4x + 4x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x + 5y |
Solve for x: -1(x + -7) = -5 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 12 |
What is 42% of 450? | Compute the percent value (integer-safe). | Compute 42/100 × 450. | 189 |
Solve for x: 3x + -20 = -29 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Solve: |5x + 6| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ -1 |
Simplify: -6x + 0x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x + 7y |
Solve: -10x + 4 < 14 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -1 |
Solve for x: -5(x + 0) = -65 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve: |-2x + -18| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -10 ≤ x ≤ -8 |
What is 87% of 500? | Compute the percent value (integer-safe). | Compute 87/100 × 500. | 435 |
Solve for x: 5(x + 3) = -50 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Simplify: 4x + -2x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 6y |
Solve: -7x + 2 > -40 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 6 |
Simplify: -7x + 0x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x + 8y |
Simplify: 4x + -1x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 2y |
What is 125% of 28? | Compute the percent value (integer-safe). | Compute 125/100 × 28. | 35 |
What is -38% of 150? | Compute the percent value (integer-safe). | Compute -38/100 × 150. | -57 |
Simplify: -1x + 0x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x + 5y |
Solve: |-2x + 15| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 6, 9 |
Solve: |5x + 9| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 0 |
Solve for x: -1(x + 4) = -19 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
If each item costs 18 dollars and the total cost is 522, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 29 |
Simplify: -8x + -5x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -13x - 4y |
Solve for x: -10x + 2 = 182 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
What is 124% of 25? | Compute the percent value (integer-safe). | Compute 124/100 × 25. | 31 |
Solve: |-4x + 15| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-5x + -20| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ -2 |
Solve: 1x + -18 > 0 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 18 |
Solve for x: -3x + 0 = -27 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
Solve: |-7x + 5| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 2 |
What is -37% of 900? | Compute the percent value (integer-safe). | Compute -37/100 × 900. | -333 |
Solve: |3x + 14| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve for x: 2x + -15 = -19 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -2 |
What is 50% of 4? | Compute the percent value (integer-safe). | Compute 50/100 × 4. | 2 |
What is 11% of 400? | Compute the percent value (integer-safe). | Compute 11/100 × 400. | 44 |
Solve: -6x + -7 < -37 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 5 |
Simplify: 8x + -2x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x + 8y |
What is 109% of 700? | Compute the percent value (integer-safe). | Compute 109/100 × 700. | 763 |
Simplify: 8x + 5x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 13x - 4y |
What is 45% of 80? | Compute the percent value (integer-safe). | Compute 45/100 × 80. | 36 |
What is 127% of 900? | Compute the percent value (integer-safe). | Compute 127/100 × 900. | 1143 |
Simplify: 7x + -4x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 3y |
Solve: |2x + -19| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 5 ≤ x ≤ 14 |
Solve: |5x + 12| = 0 | 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 -9, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -1 |
If each item costs -1 dollars and the total cost is -5, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 5 |
Solve: |2x + -8| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 13 |
Solve: -5x + 1 > 91 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -18 |
Solve: |6x + 9| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 5(x + -12) = -75 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve: |-8x + -6| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
What is -40% of 45? | Compute the percent value (integer-safe). | Compute -40/100 × 45. | -18 |
Simplify: -7x + 7x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1y |
Simplify: 1x + -5x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 2y |
Solve: |-7x + -15| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -1x + 3 < 0 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 3 |
Solve: |-8x + 11| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 3 |
Solve for x: -2x + -7 = -3 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -2 |
Solve: 2x + -6 < 18 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 12 |
Simplify: 1x + 2x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 4y |
Solve for x: 2(x + 2) = -20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve: 3x + -10 > 23 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 11 |
Solve: |-1x + 1| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -8 ≤ x ≤ 10 |
Solve: |-6x + -18| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -3 |
Solve: |-5x + -3| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 3 |
Simplify: -4x + -3x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x - 4y |
Simplify: -7x + -7x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -14x |
Solve for x: -6(x + -2) = 66 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve: |-4x + -12| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -3x + -8x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x + 3y |
Simplify: -7x + 6x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x + 8y |
If each item costs 14 dollars and the total cost is -280, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -20 |
Solve for x: -5x + -25 = -55 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
Solve: |4x + 7| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 0 |
Solve: |3x + -4| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 2 |
Solve: |-5x + 3| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2 |
Simplify: 3x + 4x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x - 3y |
Solve: |6x + -13| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 85% of 100? | Compute the percent value (integer-safe). | Compute 85/100 × 100. | 85 |
Solve for x: -4(x + 9) = -20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Solve: |-1x + -8| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -23, 7 |
Solve for x: -8(x + 11) = -56 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
What is -22% of 250? | Compute the percent value (integer-safe). | Compute -22/100 × 250. | -55 |
Simplify: 3x + 6x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 9x |
Solve: |8x + -10| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Simplify: 2x + -3x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x + 6y |
Solve: 6x + 7 ≤ -71 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -13 |
Solve: 2x + -18 ≥ 16 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 17 |
What is 113% of 1000? | Compute the percent value (integer-safe). | Compute 113/100 × 1000. | 1130 |
What is 106% of 0? | Compute the percent value (integer-safe). | Compute 106/100 × 0. | 0 |
Solve: 3x + 3 > -18 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -7 |
What is 93% of 300? | Compute the percent value (integer-safe). | Compute 93/100 × 300. | 279 |
Solve: 6x + -6 > -36 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -5 |
Solve: |-6x + -15| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -5, 0 |
Simplify: -3x + 0x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 4y |
Solve for x: 2(x + 15) = 36 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
Solve: |-6x + -9| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2, -1 |
Solve: |5x + 11| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 0 |
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