Algebraic Expressions

The Distributive Property & Factoring

100

Distributive...

3(–2x + 2)

-6x + 6 

200

Factor

45 + 60x

15(3+4x)

300

Distributive and evaluate...

–4(–5 + 9)

-16 ?

400

Distributive and evaluate ...

2/5(10x-5)

2x-1

500

Factor

28x - 42

14(2x-3)

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

Who are the Celtics playing tonight?

The Nets

500

Write an expression for the perimeter of an rectangular ice rink with side lengths 6m - 9 feet and 7m + 1 feet.

(26m - 16) feet