Equivalent Expressions

Integers

100

Simplify: 5x - 3x + 4x

6x

200

Simplify using Distributive Property: 5(2x - 3)

10x - 15

300

Simplify: 9y + 5 - 2y

7x + 5

400

Simplify: 8m - 2n - 7m + 2n

m

500

Simplify using Distributive Property: -12(-2x - 3)

24x + 36

Decimals

100

Simplify: 9.2x + 2.1x

11.3x

200

Simplify: 0.6x - 1 + 0.7x

1.3x - 1

300

Simplify: 8.6a - 4.2b - 1.2a + 3.1b

7.4a - 1.1a

400

Simplify: -3.1(3r - 1)

-9.3r + 3.1

500

Distribute: -1.3(0.6x + 0.1)

-0.78x - 1.3

Fractions

100

Simplify: 1/7x + 2/7x

3/7x

200

Simplify: 7/9y - 2/9y + 1/9y

2/3y (If you got 6/9y, you need to simplify!)

300

Simplify: 8/9y + 1/3y

11/9y or 1 2/9y

400

Simplify: 1/4x(8x + 12)

2x + 3

500

Simplify: 1/4(1/2y + 2/5)

1/8y + 1/10 (Make sure to simplify to get this answer!)

Order of Operations

100

2(5a + 2) + 4

10a + 8

200

12 + 4(8x + 1)

32x + 16

300

4(6b + 1) - 1

24b + 3

400

12w + 3(2v + 3w)

6v + 21w

500

(this going to look very complicated, write it down on your paper...) 1/4 + 1/2(1/3x + 1/4)

1/6x + 3/8

Equivalent or not?

100

Are the following expressions equivalent? 17x - 10x and 9x + 8x

No. 17x - 10x = 7x. 9x + 8x = 17x

200

Are the following expressions equivalent? 4/8x - 1/4x and 3/4x

no. 4/8x - 1/4x = 1/4x (it was 2/8x before simplifying), not 3/4x.

300

Are the following expressions equivlanet? (2x + 1) - (x + 3.2) and x - 1/2

yes.

400

Are the following expressions equivalent? (2x + 1) - (x + 3/2) and 1/2x - 1

No

500

Are the following expressions equivalent? 2/3(3/4x - 3/2) and 1/2x - 1

yes.