🔢 Part 1: Combining Like Terms

1. Simplify these expressions by combining like terms:

a) 3x + 5x = ___________

b) 7y + 2y - 3y = ___________

c) 4a + 6 + 2a + 3 = ___________

d) 8m + 5n + 3m - 2n = ___________

2. Circle the expressions that are already simplified:

5x + 3y

2a + 4a

7b - 2c + 1

3p + 5p + 2

📦 Part 2: Distributive Property

3. Expand these expressions using the distributive property:

a) 2(x + 3) = ___________

b) 4(y - 2) = ___________

c) 5(2a + 1) = ___________

d) 3(4m - 3n) = ___________

4. Which property is being used when we write 2(x + 3) = 2x + 6?

Commutative property

Distributive property

Associative property

Identity property

🧩 Part 3: Expand and Simplify

5. Expand and then simplify these expressions:

a) 2(x + 4) + 3x = ___________

b) 3(y - 1) + 2y + 5 = ___________

c) 4(2a + 3) - 5a = ___________

d) 2(3m + 1) + 4(m - 2) = ___________

6. Match each expression with its simplified form:

1. 3(x + 2) + x

2. 2(y - 1) + 3y

3. 4(a + 1) - 2a

4. 5(b - 2) + 10

A. 2a + 4

B. 5y - 2

C. 4x + 6

D. 5b

🎯 Part 4: Problem Solving

7. Sarah has 3 bags with (x + 2) lollies in each bag, and 4 extra lollies. Write and simplify an expression for the total number of lollies Sarah has.

8. A rectangle has length (2y + 3) metres and width 4 metres. The perimeter formula is P = 2(length + width). Write and simplify an expression for the perimeter.

9. True or False? Circle your answers:

a) 3x + 5x = 8x²

True

False

b) 2(a + 3) = 2a + 6

True

False

c) 4y + 2z cannot be simplified further

True

False

d) 5(x - 1) + x = 6x - 5

True