Algebraic Expressions Review

The Distributive Property and Vocabulary

100

Use the Distributive Property to expand:

3(–2x + 2)

-6x + 6

200

What is a COEFFICIENT?

***DOUBLE POINTS IF YOU CAN PROVIDE AN EXAMPLE!!!***

The number that is "attached" to a variable.

Ex:   3x + 4   

Coefficient: 3

300

Use the Distributive Property to expand:

–4(–5m + 9)

20m - 36

400

What is the definition of a CONSTANT?

***DOUBLE POINTS IF YOU CAN PROVIDE AN EXAMPLE!!!***

A number by itself without a variable.

Example:   5x - 12

CONSTANT: 12

500

Use the Distributive Property to expand:

-12(-3.1x - 10)

37.2x + 120

Combining Like Terms

100

Simplify the expression:

6n + 3n - 5m + 12 + 9m

9n + 4m + 12

200

Simplify the expression

-8a - 3a + 15b + 9 + 6

***DOUBLE JEOPARDY***

-11a + 15b + 15

300

Simplify the expression

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

3x -7

400

Simplify the expression

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

-3c + d + 8

500

Simplify the expression

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

9m - 6

Adding and Subtracting Linear Expressions

100

Add the linear expressions: 

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

14x + 1

200

Subtract the linear expressions: 

 (11x + 3) - (-4x + 12)

15x - 9

300

Subtract the linear expressions: 

 (x - 6) - (13x - 12)

-12x + 6

400

Add the linear expressions: 

 (3x - 4) + (-2x - 9)

x - 13

500

Subtract the linear expressions: 

 (8 - x) - (-4 + 3x)

***DOUBLE JEOPARDY***

-4x + 12

Factoring Linear Expressions Part I

100

3x+12

3(x + 4)

200

45 + 60x

15(3+4x)

300

-14x+56

-7(2x - 8) OR 7(-2x + 8)

400

64x+16

16(4x+1)

500

65x-26

13(5x - 2)

Factoring Linear Expressions Part II

100

10x+75

5(2x+15)

200

-12x+20

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

300

4x-2

2(2x-1)

400

33z+15

3(11z+5)

500

99x-22

11(9x-2)