question stringlengths 16 86 | problem stringclasses 8 values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
If each item costs 11 dollars and the total cost is 275, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 25 |
Solve: |-2x + -1| = 8 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-5x + -20| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -5 ≤ x ≤ -3 |
Solve for x: 3x + -30 = -66 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
Solve for x: 2(x + -13) = -28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Solve: |1x + 14| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -16 ≤ x ≤ -12 |
Solve: -10x + -17 < 153 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -17 |
Solve for x: 1(x + -15) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve: |1x + 7| = 0 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -7 |
Solve for x: 6x + -27 = -111 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -14 |
Solve for x: -7x + -30 = -93 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
Solve for x: -12x + -2 = 202 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -17 |
Simplify: 0x + -8x + 8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x + 8y |
If each item costs 17 dollars and the total cost is 425, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 25 |
Simplify: -6x + -3x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -9x - 4y |
Solve for x: 8(x + -9) = -64 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Simplify: -6x + 8x + -8y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 8y |
Solve for x: 5x + 29 = 99 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 14 |
Solve for x: -5x + 30 = -35 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
Solve for x: -7(x + -8) = 77 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve: 6x + 6 ≥ 42 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 6 |
What is 59% of 0? | Compute the percent value (integer-safe). | Compute 59/100 × 0. | 0 |
Solve: -2x + -4 ≤ 12 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -8 |
Simplify: 6x + -8x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 3y |
Solve: |7x + -17| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 1 ≤ x ≤ 4 |
Solve: |3x + 7| ≤ 2 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -2 |
What is 111% of 800? | Compute the percent value (integer-safe). | Compute 111/100 × 800. | 888 |
Solve for x: -8(x + -11) = 144 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -7 |
What is -44% of 150? | Compute the percent value (integer-safe). | Compute -44/100 × 150. | -66 |
Solve: |-1x + 1| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -16, 18 |
What is 119% of 300? | Compute the percent value (integer-safe). | Compute 119/100 × 300. | 357 |
Simplify: 8x + -1x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x |
Solve: -9x + -8 ≤ -152 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 16 |
What is 119% of 900? | Compute the percent value (integer-safe). | Compute 119/100 × 900. | 1071 |
Solve for x: -11x + 21 = 197 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -16 |
Solve: |-3x + 1| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 1 |
Solve: |1x + 10| = 12 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 2, -22 |
Simplify: -2x + 2x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6y |
Solve: |-4x + -10| ≤ 15 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 1 |
Solve for x: -5(x + -14) = 90 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
If each item costs -5 dollars and the total cost is 55, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
What is -36% of 225? | Compute the percent value (integer-safe). | Compute -36/100 × 225. | -81 |
Simplify: 2x + -3x + 0y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -1x |
Simplify: -4x + 6x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x + 6y |
Solve: |6x + -6| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Simplify: 6x + -4x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 7y |
Solve for x: -4(x + -1) = -16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Solve for x: -3(x + -9) = 51 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
Solve: |1x + 16| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -34 ≤ x ≤ 2 |
Solve for x: -5(x + 6) = -70 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
If each item costs 11 dollars and the total cost is 110, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 10 |
Solve for x: -1x + -11 = -2 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -9 |
Solve: |-8x + -18| ≤ 9 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -2 |
Solve for x: -7(x + 7) = -119 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 10 |
Simplify: -7x + 5x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 1y |
Solve: |-2x + -9| ≤ 11 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -10 ≤ x ≤ 1 |
Simplify: 6x + 0x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 6x - 6y |
Solve for x: 7(x + 0) = -7 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -1 |
Solve: -3x + -19 < -70 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 17 |
If each item costs 6 dollars and the total cost is 72, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 12 |
Solve for x: 11x + 8 = -124 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -12 |
What is -10% of 80? | Compute the percent value (integer-safe). | Compute -10/100 × 80. | -8 |
If each item costs 19 dollars and the total cost is 114, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 6 |
Solve: |-6x + 1| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 3 |
What is -30% of 100? | Compute the percent value (integer-safe). | Compute -30/100 × 100. | -30 |
If each item costs -2 dollars and the total cost is -26, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 13 |
If each item costs 19 dollars and the total cost is 513, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 27 |
Solve for x: -4(x + 12) = -100 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve: 7x + -8 > -99 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -13 |
If each item costs -4 dollars and the total cost is -32, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 8 |
Solve: 4x + 0 < -32 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < -8 |
If each item costs 7 dollars and the total cost is -126, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -18 |
Solve: |-1x + -15| = 17 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -32, 2 |
Simplify: -2x + -5x + 1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -7x + 1y |
Simplify: 4x + 3x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 7x - 2y |
What is 72% of 225? | Compute the percent value (integer-safe). | Compute 72/100 × 225. | 162 |
Simplify: 8x + 8x + -5y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 16x - 5y |
What is 72% of 150? | Compute the percent value (integer-safe). | Compute 72/100 × 150. | 108 |
Solve for x: -5(x + -1) = 45 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
Solve: |-7x + -6| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -4x + 27 = -33 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 15 |
If each item costs 19 dollars and the total cost is -380, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -20 |
Solve: |-6x + -4| ≤ 12 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 1 |
Solve for x: -7x + 26 = -37 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 9 |
Simplify: -8x + 0x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x - 7y |
What is -6% of 450? | Compute the percent value (integer-safe). | Compute -6/100 × 450. | -27 |
If each item costs -5 dollars and the total cost is -70, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 14 |
Simplify: 3x + -8x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -5x + 4y |
Solve: |3x + -16| ≤ 17 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 0 ≤ x ≤ 11 |
Simplify: 1x + 7x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 8x - 6y |
Solve for x: 5(x + -4) = -45 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Solve: |7x + -9| ≤ 18 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 3 |
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: |1x + 3| = 14 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | 11, -17 |
Solve: |1x + 7| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -26 ≤ x ≤ 12 |
Simplify: -3x + 5x + -4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 2x - 4y |
Solve: |-6x + -14| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 7x + -9 = -121 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -16 |
Solve for x: -2x + -4 = 12 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -8 |
What is 132% of 125? | Compute the percent value (integer-safe). | Compute 132/100 × 125. | 165 |
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