question stringlengths 16 86 | problem stringclasses 8 values | how_to_solve stringlengths 18 82 | answer stringlengths 1 20 |
|---|---|---|---|
If each item costs -3 dollars and the total cost is 57, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -19 |
Solve: |6x + -19| ≤ 6 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 4 |
Simplify: 4x + -1x + -2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 2y |
Solve for x: -7x + 4 = -24 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 4 |
Solve: |-4x + -12| ≤ 13 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -6 ≤ x ≤ 0 |
Solve: |-4x + 9| = 6 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 9x + 18 > 162 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 16 |
Solve for x: 8x + 15 = 79 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 8 |
Solve for x: 8(x + 2) = 16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
Simplify: -5x + 1x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x - 3y |
Solve for x: -8x + 26 = -110 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 17 |
Solve for x: -1x + 8 = -2 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
Solve: |8x + 9| = 4 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: 1x + -3 ≥ 11 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 14 |
Simplify: -7x + 5x + -7y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -2x - 7y |
Solve for x: 8(x + -4) = 72 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 13 |
Solve: -10x + 10 ≥ -60 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 7 |
Solve: 1x + -20 > -25 | 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 + 3) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -3 |
Solve for x: -9x + -4 = -103 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 11 |
Solve: |-7x + 11| = 2 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |-2x + -3| = 13 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -8, 5 |
Solve for x: 4(x + -9) = -16 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Solve: -9x + -9 > 153 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -18 |
What is -49% of 1000? | Compute the percent value (integer-safe). | Compute -49/100 × 1000. | -490 |
What is 103% of 600? | Compute the percent value (integer-safe). | Compute 103/100 × 600. | 618 |
If each item costs 5 dollars and the total cost is -50, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -10 |
Solve for x: -2x + -20 = -42 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 11 |
Solve: |3x + -11| ≤ 3 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 4 |
Solve: 8x + 2 < 154 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 19 |
What is 19% of 800? | Compute the percent value (integer-safe). | Compute 19/100 × 800. | 152 |
What is -11% of 400? | Compute the percent value (integer-safe). | Compute -11/100 × 400. | -44 |
If each item costs -10 dollars and the total cost is 110, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -11 |
Solve for x: -3x + -18 = -3 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -5 |
Solve for x: 7(x + -11) = 28 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 15 |
Solve: |-8x + 11| ≤ 19 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -1 ≤ x ≤ 3 |
What is 56% of 250? | Compute the percent value (integer-safe). | Compute 56/100 × 250. | 140 |
Solve: -4x + 5 < -39 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x < 11 |
Solve for x: 1x + 17 = 17 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 0 |
Solve for x: 11x + -1 = -100 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -9 |
What is -41% of 500? | Compute the percent value (integer-safe). | Compute -41/100 × 500. | -205 |
If each item costs 18 dollars and the total cost is 126, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 7 |
What is 57% of 100? | Compute the percent value (integer-safe). | Compute 57/100 × 100. | 57 |
Solve: -1x + -10 > -23 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > 13 |
Solve: |5x + -18| ≤ 5 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | 3 ≤ x ≤ 4 |
If each item costs 1 dollars and the total cost is 18, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 18 |
Solve: |3x + 8| = 7 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | -5 |
Simplify: -7x + 3x + 2y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -4x + 2y |
What is 36% of 100? | Compute the percent value (integer-safe). | Compute 36/100 × 100. | 36 |
Solve: |8x + 18| ≤ 7 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -3 ≤ x ≤ -2 |
Solve: |-6x + -1| = 14 | 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 ≥ 7 |
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 + 4x + -1y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 1y |
Solve: |7x + 13| = 11 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: 3(x + 0) = -15 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -5 |
Solve: |-5x + -8| = 19 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -3(x + 10) = -51 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 7 |
Solve for x: -4(x + 11) = -88 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
Solve for x: 8x + -13 = -45 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -4 |
Solve for x: -4(x + 5) = -24 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 1 |
Solve: -6x + 1 ≤ -11 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ 2 |
Simplify: -8x + 0x + 6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | -8x + 6y |
What is -15% of 20? | Compute the percent value (integer-safe). | Compute -15/100 × 20. | -3 |
Solve: -9x + -9 ≥ -72 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 7 |
Simplify: -4x + 7x + -6y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 6y |
Solve: |7x + 1| = 10 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve: |4x + -6| ≤ 1 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | no integer solutions |
Solve for x: 6(x + -11) = 0 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 11 |
What is -9% of 700? | Compute the percent value (integer-safe). | Compute -9/100 × 700. | -63 |
Solve for x: 7(x + 5) = -42 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -11 |
Solve: -4x + 11 > 51 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x > -10 |
Solve: |-8x + -6| ≤ 16 | Find integer range of x satisfying the absolute inequality. | Isolate and produce interval then take integer bounds. | -2 ≤ x ≤ 1 |
What is 47% of 500? | Compute the percent value (integer-safe). | Compute 47/100 × 500. | 235 |
Solve for x: -3(x + -6) = 3 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 5 |
Solve for x: 4(x + -10) = -40 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 0 |
Solve: |-4x + 12| = 1 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
If each item costs -9 dollars and the total cost is -54, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 6 |
Solve for x: 6x + -18 = 42 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 10 |
If each item costs 12 dollars and the total cost is -72, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | -6 |
Solve for x: 1x + 18 = 35 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 17 |
Simplify: 7x + -4x + -3y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 3x - 3y |
Simplify: -3x + 8x + 4y | Combine like terms. | Add coefficients of like terms (x with x, y with y). | 5x + 4y |
Solve for x: 6(x + 14) = 96 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 2 |
Solve for x: -3(x + 11) = -57 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 8 |
Solve for x: -12x + 24 = 48 | Solve the linear equation. | Subtract b from both sides, then divide by a. | -2 |
Solve: 6x + 14 ≤ -82 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≤ -16 |
Solve: -1x + -2 ≥ -15 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 13 |
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 |
If each item costs -9 dollars and the total cost is -63, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 7 |
If each item costs 20 dollars and the total cost is 360, how many items were bought? | Solve using algebra. | Divide total cost by price per item. | 18 |
Solve: -8x + -19 ≥ -147 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 16 |
Solve: -4x + 20 ≥ -40 | Solve the inequality. | Isolate x by subtracting b then dividing by a (flip sign if dividing by negative). | x ≥ 15 |
What is 120% of 15? | Compute the percent value (integer-safe). | Compute 120/100 × 15. | 18 |
Solve for x: 5(x + -1) = -25 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -4 |
Solve: |8x + 5| = 18 | Find integer solutions x, if any. | Set inside equal to ±c and solve both linear equations. | no integer solutions |
Solve for x: -5x + 14 = -51 | Solve the linear equation. | Subtract b from both sides, then divide by a. | 13 |
What is 124% of 25? | Compute the percent value (integer-safe). | Compute 124/100 × 25. | 31 |
Solve for x: -3(x + -8) = -3 | Solve a two-step equation. | Divide both sides by a, then subtract b. | 9 |
Solve for x: 2(x + 7) = -2 | Solve a two-step equation. | Divide both sides by a, then subtract b. | -8 |
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