Distributing
Factoring
Models
Word Problems
Fractions
100

If z=3 what is the simplified expression −2(z+4)?

-14

100

 Factor the expression 2x+8.

2(x+4)

100

A rectangle has a short side of 2 and a long side of 3x. Would the perimeter of the rectangle be 10x?

True or False?

An extra 100 points if you show the work for the perimeter.

False. 

6x+4

100

Jordan's paycheck was $342.60. He saved 1/3 of his paycheck. How much does he have left over?

$228.40 left after saving. 

100

1/3 (3-6x)

1-2x

200

Distribute

 -(-4y+3)

4y-3

200

Factor the expression : 8b + 72.

8(b + 9)

200

A garden is 1-feet long by 5-feet wide. The length and width of the garden will each be increased by the same number of feet. This expression represents the perimeter of the larger garden:(x + 1) + (x + 5) + (x + 1) + (x + 5)

Write an expression that combines like terms. 

4x+12

200

Jordan's paycheck was $342.60. He saved 1/3 of his paycheck and spent 1/2 of the remainder on groceries. How much money does Jordan have left?

$114.20 is left over afterwards. 

200

7/(1.25 - 32/4)

-7.875

300

Which of the following represents the distributive property?
a. a(b+c)=ab+ac
b. a+b=ab
c. a(b−c)=ab−ac
d. Both a and c

D. 
300

Factor the expression: 12x+2y

2(6x+y)

300

A garden is 10-feet long by 6-feet wide. The length and width of the garden will each be increased by the same number of feet. This expression represents the perimeter of the larger garden:

(x + 10) + (x + 6) + (x + 10) + (x + 6)

Write an expression that shows the correct perimeter. 

4x+32

300

The lockers in a middle school need to be cleaned. Mr. Johnson cleans 1/5 of the 100 lockers before recess. How many lockers still need to be cleaned?

80 lockers are still dirty 

300

Mary received a letter from her pen pal Gbodi in Kenya. Gbodi told her the temperature there had reached 25 C one day last week.

Use the formula 9/5 C + 32 = F to find the equivalent temperature in Fahrenheit.

77 degrees F

400

3(z−2)-4z

-z-6

400

Factor the expression: -3y-24x+6

3(-y-8x+2)

400

Model the distribution of -4(2x-3). 

Use a box to show each term. 

Need to see the box with distributed terms: -8x+12

400

The lockers in a middle school need to be cleaned. Mr. Johnson cleans 1/5 of the 100 lockers before recess. If Mr. Johnson cleans 15 of the remaining lockers after recess, how many lockers still need to be cleaned?

65 lockers still need to be cleaned

400

Mary received a letter from her pen pal Gbodi in Kenya. Gbodi told her the temperature there had reached 65 C one day last week.

Use the formula 9/5 C + 32 = F to find the equivalent temperature in Fahrenheit.

149 degrees F

500

2(x+4)−3(x−1)

-x+11

500

Factor the expression: 14x-7y-35

7(2x-y-5)

500

Model the distribution -3(-3x+4)

9x-12

500

A farmer has 96 animals. If 3/8 of the animals are cows, 1/4 are pigs, and the rest are chickens, how many of the animals are chickens?

There are 36 chickens. 

500

5/6 (2.2x-18-x)

x-15