Equivalent Expressions

Distribute!

100

3(x + 5)

3x + 15

200

-6(x + 8)

-6x - 48

300

-9(3x - 4)

-27x + 36

400

1/2(2x + 6)

x + 3

500

-1/4(8x - 12)

-2x + 3

Factor!

100

4a + 10

2(2x + 5)

200

5b - 20

5(b - 4)

300

-12c + 18

6(-2c + 3)

-6(2c - 3)

400

-14d - 35

-7(2d + 5)

7(-2d - 5)

500

27x - 45y

9(3x - 5y)

-9(-3x + 5y)

Combine Like Terms!

100

3x + 5 + 8x

11x + 5

200

-4 + 7y + 5

7y + 1

300

16x - 12 - 14x + 4

2x - 8

400

Combine like terms, then factor the expression.

-3x - 3y - 5x - 5y - 8z

-8x - 8y - 8z

-8(x + y + z) or 8(-x - y - z)

500

Combine like terms, then factor the expression.

a + 12b - 7a + 3b + 30

-6a + 15b + 30

3(-2a + 5b + 10) or -3(2a - 5b - 10)

Simplify!

100

3(x + 2) + 5

3x + 11

200

-10(2x + 8) - 7

-20x - 87

300

5 + 3(x + 2)

3x + 11

400

-8 + 2(x - 4)

2x - 16

500

6 - 2(3x + 5) - 10

-6x - 14

-2(3x + 7) or 2(-3x - 7)

Oh Yeah!

100

Simplify this expression using as few terms as possible.

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

5x + 4

200

Simplify this expression using as few terms as possible.

(12x + 2y) - (4x + 10y) 

8x - 8y

8(x - y) or -8(-x + y)

300

Simplify this expression using as few terms as possible.

x + 2y + 3xy + 4x + 5y 

5x + 7y + 3xy

400

A square has a side length of 6x inches.  What is it's perimeter?

24x inches

500

Simplify this expression using as few terms as possible.

(x - 7y + 5x + 12y - 18x - 13x)0 

0