question stringlengths 16 86 | problem stringclasses 8
values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
Solve: 5x + -17 ≤ -17 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 0 |
Solve: |-1x + 10| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 10 |
Solve: |-1x + -12| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -21 ≤ x ≤ -3 |
Simplify: 5x + 8x + 7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 13x + 7y |
Solve: |-7x + 9| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -5x + 2 = 22 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve for x: 7(x + -1) = 63 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
Solve: 3x + 16 > 4 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -4 |
Solve: |7x + -15| = 9 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -2(x + -14) = 52 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -12 |
Solve for x: 6(x + 9) = 60 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve: |-1x + -11| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -18, -4 |
Solve for x: 1(x + 14) = 25 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
What is 126% of 300? | Compute the percent value (integer-safe). | Compute 126/100 × 300. | 378 |
What is -26% of 400? | Compute the percent value (integer-safe). | Compute -26/100 × 400. | -104 |
Solve for x: 7(x + -4) = -98 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Solve for x: 8(x + -14) = -8 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve for x: -4x + -15 = 5 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -5 |
Solve: |1x + -8| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 4 ≤ x ≤ 12 |
What is 47% of 1000? | Compute the percent value (integer-safe). | Compute 47/100 × 1000. | 470 |
Solve: |2x + -19| ≤ 10 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 5 ≤ x ≤ 14 |
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 |
What is -27% of 1000? | Compute the percent value (integer-safe). | Compute -27/100 × 1000. | -270 |
Solve: -7x + -16 ≤ 33 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -7 |
Solve: |-5x + 5| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -8(x + 5) = -64 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
Solve: 3x + -20 ≥ -77 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ -19 |
Solve for x: 5(x + 5) = -15 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
If each item costs 15 dollars and the total cost is -255, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -17 |
Solve for x: -8x + -19 = -43 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 3 |
Solve for x: 2(x + -7) = -2 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 6 |
Solve: 5x + -5 ≤ 30 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 7 |
If each item costs -2 dollars and the total cost is -30, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 15 |
Solve: 4x + -13 < -13 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 0 |
Simplify: -5x + 2x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -3x + 1y |
Solve: |-4x + -2| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -1, 0 |
Solve: |3x + -5| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |3x + 14| ≤ 4 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ -4 |
Simplify: 8x + -4x + 3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 4x + 3y |
Solve for x: -9x + -13 = -139 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve: |-7x + -10| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 2x + 15 ≤ -1 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -8 |
If each item costs 6 dollars and the total cost is 12, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 2 |
Solve for x: 10x + 17 = -53 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -7 |
What is 115% of 40? | Compute the percent value (integer-safe). | Compute 115/100 × 40. | 46 |
Solve for x: -12x + 29 = 17 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 1 |
Solve: |3x + -18| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 11 |
Solve for x: 7(x + 10) = 91 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 3 |
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 |
Solve: |-4x + -4| = 5 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |8x + 0| = 15 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |1x + -2| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 10 |
Simplify: 0x + -1x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x - 7y |
Solve: |6x + -6| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -12x + -6 = -90 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 7 |
Solve: -1x + 14 ≥ 10 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 4 |
Solve: 2x + 3 > 21 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 9 |
Solve: |7x + 17| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -2 |
What is 116% of 100? | Compute the percent value (integer-safe). | Compute 116/100 × 100. | 116 |
Simplify: -8x + -5x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -13x - 4y |
Solve for x: 1(x + -15) = -30 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -15 |
Solve: |-3x + 3| ≤ 8 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 3 |
What is 137% of 300? | Compute the percent value (integer-safe). | Compute 137/100 × 300. | 411 |
Simplify: -7x + -6x + 5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -13x + 5y |
Solve for x: 8x + 24 = 152 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 16 |
If each item costs 16 dollars and the total cost is -176, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
Solve: |7x + -15| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: -6x + 3 < -27 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 5 |
Solve: |2x + -8| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 5 |
Simplify: -7x + -2x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x - 4y |
What is -35% of 200? | Compute the percent value (integer-safe). | Compute -35/100 × 200. | -70 |
If each item costs 11 dollars and the total cost is 297, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 27 |
Solve: |-1x + 6| = 20 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -14, 26 |
Solve: |1x + 15| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -11, -19 |
Solve: |4x + -11| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 4 |
Simplify: -6x + 7x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 1x |
Simplify: 0x + 2x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 1y |
What is 132% of 225? | Compute the percent value (integer-safe). | Compute 132/100 × 225. | 297 |
What is 66% of 400? | Compute the percent value (integer-safe). | Compute 66/100 × 400. | 264 |
Solve for x: 7(x + 8) = -14 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
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 |
Solve: |2x + -11| ≤ 14 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 12 |
Solve for x: -1(x + -11) = 10 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve: -10x + -10 > 20 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -3 |
If each item costs 17 dollars and the total cost is 85, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 5 |
Solve: 3x + -14 ≥ 16 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 10 |
Simplify: 0x + -8x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x |
Solve for x: 12x + 29 = -7 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -3 |
Simplify: 2x + 3x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x - 5y |
Solve for x: 5(x + -8) = -90 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -10 |
Solve for x: -5(x + 15) = -150 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve for x: -12x + 30 = 6 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 2 |
Solve: 8x + 18 > -78 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -12 |
Solve for x: 9x + -12 = 78 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
What is 100% of 5? | Compute the percent value (integer-safe). | Compute 100/100 × 5. | 5 |
Solve: -6x + 8 ≥ -70 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 13 |
Solve: |8x + -3| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 1 |
If each item costs -4 dollars and the total cost is -76, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 19 |
What is 128% of 100? | Compute the percent value (integer-safe). | Compute 128/100 × 100. | 128 |
If each item costs -3 dollars and the total cost is -84, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 28 |
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