Distribute it!
Factor It!
Combine Like Terms
Properties Match
Real-World Expressions
100

Use the distributive property to rewrite 5(a+7)

5a+35

100

Factor 10a+25

5(2a+5) 

100

Combine like terms. 3a+4a-2a

5a

100

This property lets you group the numbers differently in addition problems.

What is the associative property of addition?

100

A bakery sells muffins that have 15+X chocolate chips in each one. They sold 22 of these muffins this morning. Write and expand an expression to represent this situation.

22(15+X) = 330+22X

200

Distribute 6(2x+5)

12x+30

200

Factor 14x+7

7(2x+1)

200

2.5x+5.25x-8.25y

7.75x-8.25y

200

This property explains a(b+c) = ab+ac.

What is the distributive property?

200

A school buys 14 boxes of pencils. Each box has (2+X) pencils. Write and expand an expression to represent the situation.

14(2+X) = 28+14X

300

Apply the distributive property on 1/2(3/4x+2/5)

3/8x+1/5

300

Factor 1.5x-0.5

0.5(3x-1)

300

10a+3.5b-2a+4b

8a+7.5b

300
This property justifies that (3x4)X = 3(4X)

What is the associative property of multiplication?

300

A gardener plants 4 rows with X-2 flowers in each row. Write and expand an expression for the situation. 

4(X-2) = 4X-8

400

Apply the distributive property to 4.5(3x-10)

13.5x-45

400

Factor 2.25x+0.75

0.75(3x+1) or 0.25(9x+3)

400

x+y-1/3x-y

2/3x

400

This property allows for any number times 1 to be itself.

What is the identity property of multiplication?

400

A club sells tickets at (4.25+0.5X) dollars each. They sell 25 tickets. Write and expand an expression for this situation.

25(4.25+0.5X) = 106.25+12.5X