question stringlengths 16 86 | problem stringclasses 8 values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve: 8x + -11 ≤ -147 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -17 |
Solve: |8x + -1| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 1 |
If each item costs -7 dollars and the total cost is -77, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 11 |
Solve for x: -10x + 8 = -132 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve: |2x + -7| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |8x + -1| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1 |
If each item costs -1 dollars and the total cost is -7, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 7 |
Solve for x: -6(x + 6) = -108 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 12 |
Simplify: -4x + 4x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5y |
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 for x: 10x + 6 = 136 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Simplify: 2x + 6x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x + 8y |
Solve: 10x + -6 ≥ 74 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 8 |
Solve for x: -5(x + 8) = -70 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
What is 135% of 140? | Compute the percent value (integer-safe). | Compute 135/100 × 140. | 189 |
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: |-8x + -5| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve for x: -7(x + -1) = -98 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
What is 36% of 150? | Compute the percent value (integer-safe). | Compute 36/100 × 150. | 54 |
Solve: 6x + 1 ≥ -59 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -10 |
Simplify: -2x + 7x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x - 6y |
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 for x: -7(x + 10) = 14 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve: -3x + 13 > 22 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -3 |
What is 3% of 1000? | Compute the percent value (integer-safe). | Compute 3/100 × 1000. | 30 |
Solve for x: -8(x + -4) = 96 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
What is 53% of 400? | Compute the percent value (integer-safe). | Compute 53/100 × 400. | 212 |
If each item costs 4 dollars and the total cost is 80, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 20 |
Solve for x: -12x + -8 = -116 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
Simplify: 8x + -3x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 4y |
Solve for x: -4(x + 9) = 24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
If each item costs -4 dollars and the total cost is 4, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -1 |
Solve: |5x + 8| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -2 |
Solve for x: -1(x + -1) = -6 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Simplify: 5x + 7x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 12x + 4y |
Solve: |-8x + 5| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 2 |
Solve: |3x + 2| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ 4 |
Simplify: 7x + 5x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 12x + 7y |
Simplify: -8x + -1x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x + 1y |
Simplify: 1x + -3x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 6y |
Solve for x: -6(x + -4) = -42 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve: |5x + 3| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |7x + -18| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 4 |
Solve for x: 6x + -13 = 41 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
What is 45% of 100? | Compute the percent value (integer-safe). | Compute 45/100 × 100. | 45 |
Solve for x: 5x + 27 = 42 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 3 |
Solve: |-5x + 4| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 1(x + 6) = -5 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Solve: |3x + 19| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -11 ≤ x ≤ -1 |
If each item costs 1 dollars and the total cost is 15, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 15 |
Solve for x: -5(x + -10) = 20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
Solve: -3x + -5 ≥ 19 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -8 |
Simplify: -7x + 6x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x + 2y |
If each item costs 20 dollars and the total cost is 380, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 19 |
Solve for x: -5(x + 7) = -75 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve for x: -4x + 5 = -55 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
Solve for x: 4(x + 9) = -4 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Solve: 2x + 5 ≤ 3 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -1 |
Solve: |5x + 15| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-7x + 0| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -4(x + -3) = 64 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -13 |
If each item costs 10 dollars and the total cost is 180, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 18 |
Solve for x: -1(x + -9) = 12 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Simplify: -4x + 0x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 7y |
Solve: |7x + -4| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 3 |
Simplify: -7x + 0x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x + 6y |
Solve: |-6x + 10| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 3 |
If each item costs -3 dollars and the total cost is 36, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -12 |
Solve: |-1x + -14| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -33, 5 |
Solve for x: 4(x + 3) = 20 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
Solve for x: -5x + 21 = 56 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -7 |
Solve for x: -5x + 20 = -70 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 18 |
Solve: -10x + 5 ≤ 125 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -12 |
Solve: |-5x + 11| = 3 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 4x + -13 < -61 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -12 |
What is 11% of 1000? | Compute the percent value (integer-safe). | Compute 11/100 × 1000. | 110 |
Simplify: -1x + 0x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 5y |
Solve for x: 5x + -16 = 49 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
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 |
Simplify: 0x + 3x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 6y |
Solve for x: 1(x + 0) = 14 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 14 |
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: -6x + -12 > 102 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -19 |
If each item costs 3 dollars and the total cost is 63, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 21 |
If each item costs 14 dollars and the total cost is -98, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -7 |
What is -21% of 900? | Compute the percent value (integer-safe). | Compute -21/100 × 900. | -189 |
Simplify: 0x + 2x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 4y |
What is 44% of 25? | Compute the percent value (integer-safe). | Compute 44/100 × 25. | 11 |
Solve: -4x + -4 < -64 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 15 |
What is 144% of 250? | Compute the percent value (integer-safe). | Compute 144/100 × 250. | 360 |
Solve for x: -7x + -26 = -96 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
Simplify: 2x + 8x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 10x - 4y |
What is 106% of 450? | Compute the percent value (integer-safe). | Compute 106/100 × 450. | 477 |
Solve: -3x + -19 ≤ 2 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -7 |
Solve: -8x + 1 < -23 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 3 |
Solve: |-5x + -1| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ 3 |
If each item costs 17 dollars and the total cost is -187, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
Solve for x: -5(x + 6) = -80 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
Solve: |-4x + -8| ≤ 20 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -7 ≤ x ≤ 3 |
If each item costs 2 dollars and the total cost is 46, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 23 |
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