Chapter 8 Review

Algebra Tiles and Expressions

100

Draw an X-tile that you would show in the algebra expressions 

If you drew a long rectangle that is correct

200

Draw a unit tile that you would draw for an algebraic expression

Your answer should be a small square!

300

Draw a algebra tile picture for the step: Multiply your original number by 4

You should have 4 rectangle X tiles

400

Draw a algebra tile picture for the steps: Multiply your original number by 3, and add 8

You should have 3 x-tiles, and 8 unit tiles

500

Draw algebra tiles for 4x+3x+6

Should have 7 X tiles, and 6 unit tiles

Distributive Property

100

Rewrite the expression without parentheses: 2(x+6)

2x+12

200

Rewrite the expression without parentheses: 

6(2X+6)

12X+36

300

Rewrite the expression without parentheses: 3x(5+6)

15x+18

400

Rewrite the expression without parentheses: 2(x-14)

2x-28

500

Rewrite the following expression without parentheses: 2(x+2) - 4(x+6) 

2x+4-4x-24

Then, when you simplify it more it is -2x-20

Rewrite Expressions

100

Rewrite the following expressions by pulling out a common factor and rewrite it with parentheses:

2x+4 

2(x+2)

200

Rewrite the following expressions by pulling out a common factor and rewrite it with parentheses: 

4x+16

2(2x+8)

or 

4(x+4)

300

Rewrite the following expressions by pulling out a common factor and rewrite it with parentheses: 

5x+15

5(x+3)

400

6x-18

2(3x-9) or 

3(2x-6) or 

6(x-3)