Algebraic Expressions

The Distributive Property

100

3(x + 2)

3x + 6 

200

4(-3x+6)

-12x+24

300

-7(4x - 5)

-28x + 35

400

2/5(10x-5)

4x-2

500

-3/4(-12x-20)

9x + 15

Simplifying Algebraic Expression

100

Simplify

6n + 3n  - 5m + 12 + 9m

4m+9n+12

200

Simplify

-8a - 3b  + 15b + 9 + 6

-8a +12b +15 

300

Simplify ...

4x - 3x + 2x + 12 - 19

3x - 7 

400

Simplify...

2c - 3d - 5c + 4d + 8

-3c + d + 8 

500

Simplify...

12m - 19x - 3m + 19x + 12 - 18

9m - 6 

Adding Linear Expressions

100

Add the linear expressions ...

(5x - 4) + (9x + 5)

14x + 1 

200

Add the linear expressions ...

(-x + 4) + (-2x - 5)

-3x - 1 

300

Add the linear expressions ...

(x - 1) + (-2x + 7)

-x + 6 

400

Add the linear expressions ...

(3x - 4) + (-2x - 9)

x - 13 

500

Add the linear expressions ...

(11 + 9x) + (8 - 12x)

19 - 3x  or  -3x + 19 

Subtracting Linear Expressions

100

Subtract the linear expressions ...

(-5x + 4) - (-3x - 2)

-2x + 6 

200

Subtract the linear expressions ...

(11x - 3) - (-4x + 12)

15x - 15 

300

Subtract the linear expressions ...

(x - 6) - (13x + 12)

-12x - 18 

400

Subtract the linear expressions ... 

(-9x - 9) - (2x - 1)

-11x - 8 

500

Subtract the linear expressions ...

(-8 - x) - (-4 - 3x)

-4 + 2x  or  2x - 4 

Vocabulary

100

How many terms does 3x - 4 + 2x - 7x have?

4

200

What is the constant in the expression 4x - 5y - 5 + x

-5

300

What is the coefficient of the second term in the expression 4 - 3x + 7x - 7

-3

400

What does it mean to simplify an expression?

to combine like terms and remove all parentheses 

500

When you multiply a term outside parentheses by every term inside parentheses, it is called ______________.

The Distributive Property

Factor

100

What is the GCF of 10 and 15?

5

200

What is the GCF of 21xy and 7y

7y

300

Factor: 3x + 9

3(x + 3)

400

Factor: 12x + 7y

Cannot Be Factored

500

Factor: 45xy - 81y

9y(5x - 9)