Algebra Expansion and Simplification Lesson Slides

10 Slides • 7 Questions

1

Algebra Expansion and Simplification

By Uel Roberts - Johnson

2

Learning Objectives

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

Remove brackets from and then simplify completely algebraic expressions.
Remove brackets from and then simplify 4 algebraic expressions.

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First, ice breaker . . .

4

Poll

Who is your favorite superhero?

Batman

Superman

Black Panther

Hulk

Other

5

Do you recall? . . .

6

Multiple Choice

Simplify

4(3a + b) =

1

7a + 4b

2

12a + b

3

7a + 5b

4

12a + 4b

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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.

8

Multiple Select

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

1

$x^2y$

2

$-yx^2$

3

$3xy^2$

4

$12yx^2$

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Multiple Choice

Simplify: $7mn^2+5m^2n-mn^2$

1

$11m^2n$

2

$7mn^2+4m^2n$

3

$6mn^2+5m^2n$

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Multiple Choice

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

1

$-12a^4b^2$

2

$12a^4b^2$

3

$-a^2b$

4

$-12ab$

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Multiple Choice

Simplify: $\frac{6p^5q}{3p^2q}$

1

$2p^3q$

2

$2p^3$

3

$2p^7q^2$

4

$3p^3$

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Removing brackets

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Removing Two Pairs of Brackets

Subject | Subject

Some text here about the topic of discussion

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Give it a Try!

Subject | Subject

Some text here about the topic of discussion

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Solution

Subject | Subject

Some text here about the topic of discussion

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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

17

Open Ended

Today, class was __________________________

Type response here

Algebra Expansion and Simplification

By Uel Roberts - Johnson

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