Algebra - Introduction

Algebra - Introduction

by Uel Roberts - Johnson

Multiple Choice

What did one math book say to the other?

• Stop squaring at me!

• Don't bother me, I've got my own problems!

​Learning Objectives

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

1. ​Define "like terms".

2. ​Identify like terms.

3. ​Simplify like terms.

4. ​Expand and simplify algebraic expressions.

​Like Terms

• ​Have the same variable raised to exactly the same power.

• ​Examples:

• ​4x, -x, 38x

• ​-y², 4y², -17y²

• ​8xy³, 19y³x, 35xy³, -12y³x

• ​mn²p, pmn², -4n²mp

• ​Note: the order of the variables does not matter

Multiple Select

Which of the following will be considered like for 3m²n?

• 2n²m

• -6nm²

• 7m²n

• 5mn

​Simplification

• ​​Add / subtract LIKE terms

• ​Examples:

• ​5m² + 8n² - 6m² + n² - m²

= 5m² - 6m² - m² + 8n² + n²

= -2m² + 9n²

​

• ​-11a²b³ + 6b³a - 7ab³ + b³a² - 9a³b

= ​-11a²b³ + b³a² + 6b³a - 7ab³ - 9a³b

= -10a²b³ - ab³ - 9a³b

Multiple Choice

Simplify 6x⁴y + 7xy⁴ - yx⁴ + 10y⁴x

• 22x⁴y

• 22xy⁴

• 5x⁴y + 17xy⁴

• 13x⁴y - 11xy⁴

​Simplification

Multiple Choice

Simplify (-4a) x 7a³b x (-2ab²) x 3ab³c

• 168a⁶b⁶c

• -168a⁶b⁶c

• 4a³b⁶c

• 168a³b⁵c

Multiple Choice

Simplify $$\frac{4m^5pq}{2mp^3q}$$  

• 2m⁴p²q

• $$\frac{2m^4}{p^2}$$  

• $$\frac{2m^5q}{p^3}$$  

• $$\frac{2m^4q}{p^2}$$  

​Let's learn some more . . .

​Basic Engineering Mathematics page 69 problems 1 - 7

​

​Practice page 7 ex. 35 # 2, 3, 5, 8 - 10

Open Ended

One thing I will like improved is _____________.