Practice: Expressions & Equations

Part A: Combining Like Terms

Directions: Simplify each expression by combining like terms.

1. 4x + 7x

2. 9y - 3y

3. 6a + 5 + 2a

4. 8n - 4 + 3n + 9

5. 12b - 5b + 7 - 3

6. -2x + 8 + 6x - 3

Part B: Distributive Property

Directions: Use the distributive property to expand each expression.

7. 3(x + 5)

8. 4(y - 2)

9. -2(a + 6)

10. 5(2n + 3)

11. -3(4x - 1)

12. 7(m - 4)

Part C: Solving Two-Step Equations

Directions: Solve each equation. Show your work in the space provided.

13. 2x + 5 = 17

x =

14. 4y - 3 = 21

y =

15. 7 + 3n = 28

n =

16. 5a - 12 = 33

a =

Part D: Equations with Distributive Property

Directions: Solve each equation. First distribute, then solve.

17. 2(x + 4) = 14

x =

18. 3(y - 2) = 21

y =

19. 5(n + 1) = 30

n =

20. 4(2x - 3) = 20

x =

Part E: Word Problems

Directions: Write an equation and solve. Show all work.

21. Maria has some money. After earning $15 more, she has $47 total. If she then splits her money equally among 3 friends (including herself), each person gets how much? Write an equation where x represents Maria's original amount.

Equation:

Maria's original amount: $

22. A phone plan costs $25 per month plus $0.10 per text message. If Jayden's bill was $35 this month, how many text messages did he send?

Equation:

Number of texts:

23. Three identical notebooks and a $4 pen cost $19 total. What is the cost of one notebook?

Equation:

Cost of one notebook: $

24. The perimeter of a rectangle is 38 inches. If the length is 11 inches, what is the width? (Hint: Perimeter = 2(length + width))

Equation:

Width: inches

Challenge: Multi-Step Problems

25. Simplify, then solve: 2x + 3x - 4 = 26

x =

26. Solve: 4(x + 2) - 3 = 17

x =