Lesson 4.4: Expand Expressions

​Lesson 4.4:

Expand Expressions

Some text here about the topic of discussion

​Definition:

Distributive Property: a(b + c) = ab + bc

10( 5 + 2) = (10 x 5) + (10 x 2​)

x(5 + 3) = 5x + 3x = 8x

x(2 + y) = 2x + xy​

Subject | Subject

Some text here about the topic of discussion

​How to use the distributive property:
2(3x +1)

​Example: Simplify the expression -⅓ (2 - 3x + 3).

Multiple Choice

Simplify the expression: 2(2x + 4)

• 4x + 4

• 2x + 8

• 4x + 8

• 12x

Multiple Choice

Simplify the expression: $$\frac{1}{2}\left(4x\ -8\right)$$  

• 8x - 16

• 2x - 4

• 2x + 4

• 4x - 4

​Example: x(3.4 - 2y)

Multiple Choice

Simplify: 3(0.5x - y)

• 1.5x - 3y

• 3.5x - 3y

• 1.5x + 3y

• 1.5x - y

Multiple Choice

Simplify: $$\frac{1}{4}x\left(8y\ -\ 2z\right)$$  

• 2xy - 0.5z

• 2xy - 0.5xz

• 32xy - 8xz

• 1.5xyz

​Conclusion: Write two complete sentences about what you learned.