Properties
Simplify
Factor
Word Problems
100

m= 0 +m 

Addition Property of Zero
100

2m  + 7 + 9m

7 + 11m 

100

91-26

13(7-2)

100

Which expression is not equivalent to 12x-18? 

A) 6(2x-3)

B) 2(6x-9)

C) 9(3x-2)

D) 3(4x-6)

C

200

f+5 = 5 + f 

Commutative Property of Addition

200

5 + (9m +3) 

9m + 8
200

6x+24

6(x+4)
200

The Red Sox receive a discount on each jersey they purchase. The original price of each jersey is x dollars. The team buys 18 jerseys for a total of (18x-36) dollars. What is the discount for each jersey?  

The discount is $2 for each jersey. 

300

8 * (a * 3) = (8 * a)* 3

Associative Property of Multiplication

300

3.1(p -2.7) 

3.1p - 8.37

300

33x-15

3(11x-5)

300

You and three friends go to a concert. You each pay $2 for a glow stick and x dollars for a shirt. Use the distributive property to write and simplify an expression for the total the group pays. How much does the group pay if shirts cost $10? 

8 + 4x  

= $48

400

1 * r = r 

Multiplication Property of One

400

7(3+x+4)

x+49

400

9x + 12y

3(3x + 4y)

400

The running time (in minutes) of a TV episode is 60 - 0.7c, where c is the number of commercials aired during the episode. What is the running time of an episode with 23 commercials? 

43.9 minutes 

500

w(3-2) = 3w - 2w 

Distributive Property

500

9(w+6) + 4

9w + 58

500

25a+50b+75c

25(a+2b+3c)

500

A girl scout troop is selling cookies. For each box of cookies they sell, the council receives x dollars, and the girl scout troop receives the remaining amount. The girl scout troop sells 96 boxes for a total of (96x + 672) dollars. How much money does the girl scout troop receive for each box of cookies they sell? 

$7

M
e
n
u