question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Simplify: 2x + -5x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x - 4y |
Simplify: 6x + 4x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x - 3y |
What is 28% of 0? | Compute the percent value (integer-safe). | Compute 28/100 × 0. | 0 |
Solve: |-2x + -9| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -9 ≤ x ≤ 0 |
Solve for x: -7x + -23 = 103 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -18 |
Solve: |-2x + 5| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 2 ≤ x ≤ 3 |
If each item costs 13 dollars and the total cost is 104, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 8 |
If each item costs -2 dollars and the total cost is 32, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -16 |
Solve: -7x + -4 ≤ -4 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 0 |
Solve: 9x + -11 ≥ 52 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 7 |
Solve for x: 6(x + 7) = 132 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve for x: 2x + 17 = -5 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
Simplify: -2x + 1x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x + 7y |
Solve for x: -4x + 29 = -31 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
Solve: |-2x + -20| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -12 ≤ x ≤ -8 |
Solve: |6x + -14| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 8x + 19 ≤ 163 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 18 |
Solve: -2x + 2 ≥ 40 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -19 |
Solve: |-8x + -9| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 0 |
If each item costs 19 dollars and the total cost is -304, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -16 |
If each item costs 20 dollars and the total cost is 140, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 7 |
Solve: |1x + -13| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 19, 7 |
What is 1% of 900? | Compute the percent value (integer-safe). | Compute 1/100 × 900. | 9 |
If each item costs -7 dollars and the total cost is -182, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 26 |
What is 79% of 900? | Compute the percent value (integer-safe). | Compute 79/100 × 900. | 711 |
Simplify: 6x + 2x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x |
Solve: -8x + -11 > 5 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -2 |
Solve for x: -1x + 0 = -20 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 20 |
Solve for x: 2(x + 2) = 20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve for x: -12x + 17 = -199 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 18 |
Solve: |-1x + -13| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -32 ≤ x ≤ 6 |
Solve: |5x + 0| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-8x + -15| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -2 |
If each item costs 17 dollars and the total cost is 510, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 30 |
Solve: |-1x + 11| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -8, 30 |
Solve for x: -8x + -4 = -44 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 5 |
Solve: |-8x + 6| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2 |
Solve for x: -8(x + 4) = 32 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
Solve for x: -5x + 7 = -63 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve: |-6x + -9| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Simplify: 7x + 4x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 11x + 8y |
Solve: |7x + -6| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs 1 dollars and the total cost is 23, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 23 |
Solve: 5x + 10 > 50 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 8 |
Solve for x: 7(x + 8) = 49 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
What is 112% of 225? | Compute the percent value (integer-safe). | Compute 112/100 × 225. | 252 |
Solve: |6x + 8| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 0 |
Solve: |3x + -20| ≤ 0 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve: |-8x + -5| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 1 |
Solve: -2x + -5 < -33 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 14 |
Solve: 8x + 20 > -132 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -19 |
Simplify: 3x + -1x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 4y |
Solve: 10x + 19 < -141 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -16 |
Solve: |-2x + -2| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 11x + 7 = -114 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -11 |
Solve for x: -11x + -10 = -175 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
Solve for x: -9x + 19 = -134 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 17 |
Solve: |6x + -17| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 5 |
Solve: |2x + -6| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 11 |
Solve for x: 11x + 2 = -152 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -14 |
Solve for x: -4x + -12 = 48 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -15 |
Solve for x: 6(x + -9) = -72 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
What is 34% of 250? | Compute the percent value (integer-safe). | Compute 34/100 × 250. | 85 |
What is 74% of 0? | Compute the percent value (integer-safe). | Compute 74/100 × 0. | 0 |
Simplify: -1x + -5x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -6x - 4y |
Solve: |-4x + 7| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
What is -25% of 20? | Compute the percent value (integer-safe). | Compute -25/100 × 20. | -5 |
If each item costs 14 dollars and the total cost is 140, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 10 |
If each item costs 2 dollars and the total cost is -6, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -3 |
If each item costs -8 dollars and the total cost is -112, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 14 |
Solve for x: 7x + 18 = -66 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
If each item costs -9 dollars and the total cost is -162, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 18 |
Simplify: 6x + 0x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x - 2y |
Solve: -2x + 18 < -8 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 13 |
Solve: |-8x + -12| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ -1 |
Solve: |-5x + -11| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -3 |
Solve for x: -2x + 17 = 15 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
If each item costs 4 dollars and the total cost is -64, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -16 |
Solve: |-1x + 13| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 12 ≤ x ≤ 14 |
Simplify: -5x + -4x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x + 2y |
Simplify: -1x + -7x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x + 8y |
If each item costs 10 dollars and the total cost is 160, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 16 |
Simplify: -5x + 1x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 2y |
What is -20% of 30? | Compute the percent value (integer-safe). | Compute -20/100 × 30. | -6 |
Solve for x: -3(x + 5) = -48 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve for x: -2x + -12 = -14 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
Solve for x: -4(x + 6) = 16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Solve for x: 6(x + 4) = 12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -2 |
If each item costs -6 dollars and the total cost is -36, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 6 |
Solve: |-4x + -11| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -6 |
Simplify: 4x + 8x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 12x - 3y |
Solve: 10x + -12 > -152 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -14 |
Simplify: -5x + -7x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -12x + 5y |
Solve: 1x + 9 > 26 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 17 |
If each item costs 12 dollars and the total cost is 252, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 21 |
Solve: |4x + 15| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -8 ≤ x ≤ 0 |
Solve for x: 1(x + 11) = 2 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -9 |
Solve: |1x + -7| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 22, -8 |
What is -20% of 15? | Compute the percent value (integer-safe). | Compute -20/100 × 15. | -3 |
Solve: |-6x + -6| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -4 ≤ x ≤ 2 |
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