Algebra Expansion and Simplification

Algebra Expansion and Simplification

By Uel Roberts - Johnson

​Learning Objectives

​By the end of the lesson, students should be able to:

1. Remove brackets from and then simplify completely algebraic expressions.

2. ​Remove brackets from and then simplify 4 algebraic expressions.

​

​First, ice breaker . . .

Poll

Who is your favorite superhero?

• Batman

• Superman

• Black Panther

• Hulk

• Other

​Do you recall? . . .

Multiple Choice

Simplify

4(3a + b) =

• 7a + 4b

• 12a + b

• 7a + 5b

• 12a + 4b

Let's Recap

• Like terms must have exactly the same variables raised to exactly the same powers.

• Addition and subtraction can only take place with like terms.

• When multiplying, the powers of LIKE bases must be added.

• When dividing, the powers of LIKE bases must be subtracted.​

Multiple Select

Select all the terms that may be considered like terms with $$5x^2y$$  

• $$x^2y$$  

• $$-yx^2$$  

• $$3xy^2$$  

• $$12yx^2$$  

Multiple Choice

Simplify: $$7mn^2+5m^2n-mn^2$$  

• $$11m^2n$$  

• $$7mn^2+4m^2n$$  

• $$6mn^2+5m^2n$$  

Multiple Choice

Simplify: $$3ab\left(-4a^3b\right)$$  

• $$-12a^4b^2$$  

• $$12a^4b^2$$  

• $$-a^2b$$  

• $$-12ab$$  

Multiple Choice

Simplify: $$\frac{6p^5q}{3p^2q}$$  

• $$2p^3q$$  

• $$2p^3$$  

• $$2p^7q^2$$  

• $$3p^3$$  

Removing brackets

Removing Two Pairs of Brackets

Subject | Subject

Some text here about the topic of discussion

Give it a Try!

Subject | Subject

Some text here about the topic of discussion

Solution

Subject | Subject

Some text here about the topic of discussion

Let's look at some other examples and then practice!

Basic Engineering Math

Page ​77, Problems 2 - 7

​

Then practice​ exercise 39 # 1, 9 and 19

​

Home Assignment # ​4, 8, 11, 12, 18, 23 and 24

Subject | Subject

Some text here about the topic of discussion

Open Ended

Today, class was __________________________