question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Simplify: -2x + -3x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x - 4y |
Solve for x: -7(x + -10) = -21 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve for x: 1(x + 13) = 7 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -6 |
Solve: |8x + 19| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ -1 |
Solve for x: 10x + -23 = 47 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 7 |
If each item costs 12 dollars and the total cost is -204, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -17 |
Solve for x: 3(x + -1) = 9 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 4 |
Solve: |2x + -10| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 11, -1 |
Solve: 4x + -2 < 14 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 4 |
Solve for x: -6x + -18 = -6 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -2 |
Solve for x: -9x + 23 = 122 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
Solve for x: -5(x + -12) = 65 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Solve for x: 7x + 13 = 55 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
Solve: |1x + -9| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 20 |
Solve: |-7x + 9| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 7(x + -3) = 49 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
Solve for x: -4(x + -9) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve: 1x + -2 ≤ -16 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -14 |
Solve: |6x + -15| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-5x + -13| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |6x + 9| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -1 |
Simplify: 2x + 1x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x + 8y |
Solve for x: -9x + -19 = -91 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve: |-5x + 9| = 16 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 5 |
Solve for x: 5x + -24 = -64 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -8 |
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 |
Solve for x: 8x + -26 = 134 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 20 |
Simplify: 4x + 8x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 12x - 4y |
Solve: -3x + 16 ≤ 58 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -14 |
Solve: |3x + 9| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ -2 |
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: 2x + 8 > 12 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 2 |
Simplify: 3x + 5x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x + 2y |
Solve: -9x + -2 > 97 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -11 |
Solve for x: 10x + -27 = 133 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
Simplify: 1x + -3x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x + 1y |
What is -46% of 500? | Compute the percent value (integer-safe). | Compute -46/100 × 500. | -230 |
Solve for x: -3(x + -9) = 60 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Solve: 2x + 18 > 16 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -1 |
Simplify: -3x + 8x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 4y |
Solve: |-1x + -17| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -17 ≤ x ≤ -17 |
Solve for x: 3x + 25 = 52 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
Solve: 5x + 7 ≤ 37 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 6 |
If each item costs -5 dollars and the total cost is -75, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 15 |
Solve for x: -11x + 23 = 144 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
Simplify: -3x + 3x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7y |
Solve for x: 2x + -10 = -46 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
Solve for x: -6x + -3 = 111 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -19 |
Simplify: -5x + 5x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3y |
Solve for x: -7(x + 15) = -196 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Simplify: 1x + -3x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x + 4y |
Solve for x: 4(x + 2) = -20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve for x: -8(x + 8) = -136 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
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. | -18 |
What is 29% of 800? | Compute the percent value (integer-safe). | Compute 29/100 × 800. | 232 |
Solve: |3x + -4| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 3 |
Solve: |-2x + -2| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 4 |
What is -40% of 10? | Compute the percent value (integer-safe). | Compute -40/100 × 10. | -4 |
Solve: |3x + 11| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -5 |
Solve for x: 2x + -3 = 31 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 17 |
Solve: |-8x + 11| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 1(x + -3) = 2 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Solve: |2x + -18| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 18 |
Solve for x: 11x + -30 = -195 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
Solve: -2x + -18 > -10 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -4 |
Simplify: -3x + 7x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x - 8y |
Solve for x: 7(x + -5) = 63 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
Solve for x: 8(x + -2) = 80 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 12 |
If each item costs 17 dollars and the total cost is 17, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 1 |
Solve: |1x + -8| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 10, 6 |
Solve: |5x + 11| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -2 |
Solve: -5x + -20 < 60 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -16 |
Solve for x: -3x + -19 = 17 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
Solve: 6x + 5 ≥ 125 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 20 |
Solve for x: 11x + 8 = 162 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
If each item costs 18 dollars and the total cost is -234, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -13 |
Solve: |1x + -4| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 7 |
Solve for x: -7(x + -5) = -70 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
If each item costs 20 dollars and the total cost is 520, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 26 |
If each item costs -5 dollars and the total cost is -45, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 9 |
Solve for x: -6(x + 11) = -24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
Solve: |-6x + -5| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 3 dollars and the total cost is 60, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
What is 147% of 300? | Compute the percent value (integer-safe). | Compute 147/100 × 300. | 441 |
Solve: |2x + -12| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 5 ≤ x ≤ 7 |
Solve for x: 3x + 19 = 79 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 20 |
Solve for x: 2x + 25 = 33 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 4 |
Simplify: 3x + -7x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 7y |
Solve for x: 4(x + 11) = 52 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
What is 120% of 15? | Compute the percent value (integer-safe). | Compute 120/100 × 15. | 18 |
Solve: |-4x + -3| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -8(x + -13) = 8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 12 |
Solve: |-5x + -10| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-8x + -2| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 2x + 8x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x + 2y |
If each item costs 11 dollars and the total cost is 308, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 28 |
Solve: |-1x + 14| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 31 |
What is 142% of 450? | Compute the percent value (integer-safe). | Compute 142/100 × 450. | 639 |
Solve for x: -3(x + 14) = -81 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve: |-8x + -15| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 0 |
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