question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve: |-7x + 2| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 1(x + 2) = 11 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve for x: -1x + 26 = 35 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -9 |
Solve: -3x + 13 ≤ 43 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -10 |
Simplify: -6x + -5x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -11x - 7y |
Solve: -9x + 4 < 67 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -7 |
Solve for x: -2x + -5 = 11 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -8 |
Solve: -8x + -7 ≤ 97 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -13 |
If each item costs 7 dollars and the total cost is 154, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 22 |
Solve: |8x + -11| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 3 |
Solve for x: 7(x + 2) = 77 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
What is -16% of 150? | Compute the percent value (integer-safe). | Compute -16/100 × 150. | -24 |
Solve for x: 5(x + 1) = -55 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve: |6x + -14| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 4 |
Solve: -4x + -14 ≥ -70 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 14 |
If each item costs 8 dollars and the total cost is 160, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
Solve: |5x + -6| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 3 |
What is 45% of 0? | Compute the percent value (integer-safe). | Compute 45/100 × 0. | 0 |
Solve: |-8x + -17| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -2 |
Simplify: -4x + 7x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x + 6y |
What is 11% of 300? | Compute the percent value (integer-safe). | Compute 11/100 × 300. | 33 |
If each item costs 3 dollars and the total cost is -27, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -9 |
Simplify: 7x + 7x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 14x - 1y |
Solve for x: -4x + 14 = 74 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
Solve: -9x + -19 > 26 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -5 |
Solve for x: 6(x + -12) = -84 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
Solve: |1x + -10| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ 27 |
Solve for x: -5x + 13 = 113 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -20 |
Solve: 8x + -16 ≤ 32 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 6 |
What is -12% of 100? | Compute the percent value (integer-safe). | Compute -12/100 × 100. | -12 |
Simplify: 4x + 6x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x |
Solve: |-1x + 8| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2, 18 |
Solve: -10x + -7 < 123 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -13 |
Solve for x: -2(x + -8) = 16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
Simplify: 0x + -6x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x + 4y |
Solve: |5x + 9| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -2 |
Solve: |-3x + -6| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 34% of 300? | Compute the percent value (integer-safe). | Compute 34/100 × 300. | 102 |
Solve: |4x + 9| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -1 |
Solve: |4x + 7| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 1 |
Solve: |4x + -13| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 5 |
Solve for x: 2(x + -15) = -16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Solve: -7x + 15 < -125 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 20 |
Solve: |7x + -11| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
Solve for x: 2(x + 1) = 30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
What is 118% of 0? | Compute the percent value (integer-safe). | Compute 118/100 × 0. | 0 |
Simplify: -5x + 6x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x + 4y |
Solve: -8x + -4 ≤ -36 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 4 |
Simplify: 8x + -4x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x - 8y |
If each item costs 20 dollars and the total cost is 500, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 25 |
What is 130% of 40? | Compute the percent value (integer-safe). | Compute 130/100 × 40. | 52 |
What is -26% of 100? | Compute the percent value (integer-safe). | Compute -26/100 × 100. | -26 |
If each item costs -9 dollars and the total cost is -18, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Simplify: 5x + -5x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2y |
Solve: |-5x + 2| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2 |
Solve for x: -3(x + -3) = 48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
Solve: |7x + -12| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: -6x + 5x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 8y |
Solve: |-1x + -9| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -19 ≤ x ≤ 1 |
What is 34% of 450? | Compute the percent value (integer-safe). | Compute 34/100 × 450. | 153 |
What is 48% of 250? | Compute the percent value (integer-safe). | Compute 48/100 × 250. | 120 |
Solve: |6x + 12| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is 81% of 900? | Compute the percent value (integer-safe). | Compute 81/100 × 900. | 729 |
Simplify: 0x + -8x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x + 2y |
If each item costs 2 dollars and the total cost is 8, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 4 |
Solve: -9x + -20 ≥ -29 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 1 |
Solve: |-6x + -5| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 0 |
Solve: |-2x + -5| = 10 | 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) = 88 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
Solve: 4x + -19 > -15 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 1 |
Solve: |1x + -5| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -15 ≤ x ≤ 25 |
If each item costs 10 dollars and the total cost is -20, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -2 |
Simplify: -1x + 1x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1y |
What is 143% of 1000? | Compute the percent value (integer-safe). | Compute 143/100 × 1000. | 1430 |
Solve for x: -3x + 14 = 50 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
Solve for x: 7(x + 12) = 154 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
Solve: |-1x + -8| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -11 ≤ x ≤ -5 |
What is 10% of 90? | Compute the percent value (integer-safe). | Compute 10/100 × 90. | 9 |
Solve: |7x + 10| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 0 |
Solve for x: -2(x + 11) = 6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -14 |
Solve: |1x + 6| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -19 ≤ x ≤ 7 |
Solve: 2x + 7 ≤ -3 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -5 |
Solve: |-8x + -18| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -2 |
Solve: |-5x + -5| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 1 |
Solve: |8x + -3| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 0 |
Solve for x: -10x + -2 = -62 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 6 |
If each item costs 14 dollars and the total cost is -238, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -17 |
Solve for x: 2x + 28 = 16 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -6 |
Solve: 2x + 17 ≤ 45 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 14 |
Solve: -9x + 7 < -20 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 3 |
Solve: |6x + -1| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 1 |
If each item costs -6 dollars and the total cost is -156, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 26 |
What is 124% of 0? | Compute the percent value (integer-safe). | Compute 124/100 × 0. | 0 |
Solve: |-7x + 11| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
Solve for x: 3(x + -15) = -3 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
Solve: |2x + -14| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 11 |
Solve: |-1x + -7| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -12, -2 |
What is 59% of 700? | Compute the percent value (integer-safe). | Compute 59/100 × 700. | 413 |
If each item costs 6 dollars and the total cost is 24, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 4 |
Solve: |-8x + 3| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
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