Solving Two-Step Equations Worksheet

Question 1

Solve for x: 3x + 5 = 20.

Accepted Answer

Subtract 5 from both sides to get 3x = 15. Divide both sides by 3, so x = 5.

Question 2

Solve for y: 4y - 7 = 17.

Accepted Answer

Add 7 to both sides to get 4y = 24. Divide both sides by 4, so y = 6.

Question 3

Solve for n: n/5 + 9 = 14.

Accepted Answer

Subtract 9 from both sides to get n/5 = 5. Multiply both sides by 5, so n = 25.

Question 4

Solve for a: 2a + 11 = 31.

Accepted Answer

Subtract 11 from both sides to get 2a = 20. Divide both sides by 2, so a = 10.

Question 5

Solve for p: 6p - 8 = 28.

Accepted Answer

Add 8 to both sides to get 6p = 36. Divide both sides by 6, so p = 6.

Question 6

Solve for m: m/3 - 4 = 10.

Accepted Answer

Add 4 to both sides to get m/3 = 14. Multiply both sides by 3, so m = 42.

Question 7

Solve for z: 5z + 2 = -18.

Accepted Answer

Subtract 2 from both sides to get 5z = -20. Divide both sides by 5, so z = -4.

Question 8

Solve for t: -2t + 6 = 16.

Accepted Answer

Subtract 6 from both sides to get -2t = 10. Divide both sides by -2, so t = -5.

Question 9

Solve for r: 7r - 3 = 39.

Accepted Answer

Add 3 to both sides to get 7r = 42. Divide both sides by 7, so r = 6.

Question 10

Solve for k: k/2 + 6 = 13.5.

Accepted Answer

Subtract 6 from both sides to get k/2 = 7.5. Multiply both sides by 2, so k = 15.

Question 11

Solve for b: 3.5b - 4 = 10.

Accepted Answer

Add 4 to both sides to get 3.5b = 14. Divide both sides by 3.5, so b = 4.

Question 12

A movie ticket costs $8, and a snack costs $3. Mia spent $35 on tickets and one snack. If x is the number of tickets she bought, write and solve an equation for x.

Accepted Answer

The equation is 8x + 3 = 35. Subtract 3 from both sides to get 8x = 32, then divide by 8, so x = 4. Mia bought 4 tickets.

Question 13

A taxi charges a $5 starting fee plus $2 per mile. The total cost is $23. If m is the number of miles, write and solve an equation for m.

Accepted Answer

The equation is 2m + 5 = 23. Subtract 5 from both sides to get 2m = 18, then divide by 2, so m = 9. The taxi ride was 9 miles.

Question 14

Solve for q: (q - 4)/3 = 8.

Accepted Answer

Multiply both sides by 3 to get q - 4 = 24. Add 4 to both sides, so q = 28.

Question 15

A rectangle has a perimeter of 34 centimeters. Its length is 10 centimeters, and its width is w centimeters. Use the equation 2w + 20 = 34 to find the width.

Accepted Answer

Subtract 20 from both sides to get 2w = 14. Divide both sides by 2, so w = 7. The width is 7 centimeters.

Solving Two-Step Equations

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