8th Grade Algebraic Expressions

The Distributive Property

100

Use the Distributive Property to expand:

3(–2x + 2)

-6x + 6

200

Use the Distributive Property to expand:

–2(x + 1)

-2x - 2

300

Use the Distributive Property to expand:

–4(–5m + 9)

20m - 36

400

Use the Distributive Property to expand:

–2(7.5g - 9.5)

-15g + 19

500

Use the Distributive Property to expand:

-12(-3.1x - 10)

37.2x + 120

Combining Like Terms

100

Simplify the expression:

6n + 3n + 12 

9n  + 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/Subtracting 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

Subtract the linear expressions: 

 (-5x + 4) - (-3x + 2)

-2x + 2

500

Subtract the linear expressions: 

 (x - 6) - (13x - 12)

-12x + 6

Multiplying/Dividing Linear Expressions

100

Simplify:

3x = 33

x = 11

200

Divide the linear expressions: 

2 = b / 4

b = 8

300

Simplify:

5x = 100

x = 20

400

Simplify:

8m = 8

m=1

500

6 = x / 5

***DOUBLE JEOPARDY***

x = 30