Simplifying Expressions

Distributive Property

100

2(5+x)

10+2x

200

-(6y-10)

-6y+10

300

m(3n-9)

3nm-9m

400

7(2x-6)

14x-42

500

-3(7x-8)

-21x+28

Commutative Property

100

Rewrite this expression with the commutative property.

10+3x

3x+10

200

True or False?

This is an example of the Commutative Property

7x-4=4-7x

False

Reason: Commutative Property does not apply to subtraction.

300

Which of the following represents the commutative property of addition?

a. 8+5=5+8

b. 5x8=8x5

c. 8+5=5x8

A

400

True or False?

This is an example of the Commutative Property

15x3=3x15

True

500

If 1.22 + 3. 789 = 5.009, what is the value of    3.789 + 1.22?

5.009

Combining Like Terms

100

6x - 4 + 4x

10x-4

200

v - 5 + 2

v-3

300

10b + 2 - 4b

6b+2

400

6c - 10 - 2c + 12

4c+2

500

12c-8d+5-c+10d

11c+2d+5

Vocabulary

100

Define Variable

The letter in an algebraic equation/expression

200

Commutative Property

Moving things around in an equation, but it is still equal (only multiplication and addition)

300

Define Distributive Property

Multiplying the number in front of the parenthesis by the terms inside the parenthesis.

400

What are expressions?

equations without an equal sign

500

What is a Coefficient

the number in front of the variable, usually attached to the variable through multiplication

Challenge

100

2(y-0.8z)

2y-1.6z

200

-(3-4x)

-3+4x

300

16+3f-5f+2

18-2f

400

5(3/2r-8)

15/2r-40

500

5.5+h+3.05-2h

8.05-h