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Unit 4 Review

Total questions: 11

Worksheet time: 22mins

Name
Class
Date
1.

Katherine is purchasing flower baskets to be placed on each table at a volunteer appreciation lunch.  

Store A charges $19.25 per flower basket plus a $15 delivery fee.  

Store B charges $17.50 per flower basket plus a $30 delivery fee. 

Which inequality can determine x, the maximum number of flower baskets that can be ordered for the total cost of store A to be less than the total cost of Store B?

a)

19.25 + 15x > 17.5 +30x

b)

19.25 + 15x < 17.5 +30x

c)

 19.25x + 15 > 17.5x + 30

d)

19.25x + 15 < 17.5x + 30

2.

Which situation can be modeled by the inequality below?  

10x + 75 > 6.50x + 120

a)

Talia joins gym A at a cost of $120 down plus $6.50 per month. Her brother, Caleb joins gym 

  B which charges $75 down plus $10 per month. After how many months will gym B costs less 

 than gym A?

b)

Talia and her brother, Caleb, are collecting cans for a canned food drive. Talia already has 

  120 cans and receives 6.5 additional cans per day. Caleb has 10 cans and receives 75 

 additional cans per day. After how many days will Caleb have more cans than Talia?

c)

Talia has $75.00. Her brother, Caleb, has $120. Talia saves $10 per week and her brother 

 saves $6.50 per week. After how many weeks will Talia have more money than Caleb?

d)

Talia earns 85 points on each level of a video game. Her brother, Caleb, earns 126.5 points 

  on each level of a different game. How many levels would Talia and Caleb have to play to 

 have an equal number of points?

3.

What value of x makes the equation true?

a)

x = 4

b)

x = -8

c)

x = -1

d)

x = 64

4.

Company A rents copy machines for $300 a month plus $0.05 per copy. Company B charges 

 $600 a month plus $0.01 per copy. For which number of copies do the two companies charge the same amount in a single month?

a)

5000 copies

b)

6000 copies

c)

7000 copies

d)

7500 copies

5.

Solve the following equation.

7x - 22 = 15x - 6

Write your answer in the form x= (a)   (NO SPACES)

6.

What value of x makes this equation true?

a)

27.27

b)

-120

c)

120

d)

-27.27

7.

Faith rents space to sell her paintings for $450. She spends $40 to purchase materials for each painting. Faith sells her paintings for $150 each. Which inequality shows the least number of paintings she must sell in order to make a profit?

a)

450 + 40x < 150x

b)

450 + 40x > 150x

c)

450 - 150x < 40x

d)

450 - 150x > 40x

8.

Which of the equations matches the model shown below?

a)

3x + 10 = 5x + -8

b)

-3x + 10 = 5x - 8

c)

-3x + 10 = 5x + 8

d)

3x - 10 = 5x - 8

9.

John wants to order school spirit shirts to sell as a fundraiser at future events.  #1 Shirt Designs charges a $75 setup fee plus $12.50 per shirt.  Tees and More do not have a setup fee but charge $15.75 per shirt.  Which equation can determine the number of shirts, x, that need to be ordered for the total cost at each company to be the same?

a)

12.5x + 75 = 15.75x

b)

12.5 + 75x = 15.75

c)

15.75x + 75 = 12.5x

d)

15.75 + 75x = 12.5x

10.

The equation 5w + 3 = 4w + 9 is modeled below. What value of w makes this equation true?

(a)  

11.

Which of the following situations can be modeled by the equation below?  

2x + 2 = 6 + x

a)

Joe has donated $2 to charity and he plans to donate $1 per day. Kim has donated $6 to 

  charity and she plans to donate $2 per day. How many days will it take for them to have 

 donated the same amount?

b)

Carla has 1 stamp. She plans to save 6 additional stamps per week. Michael has 2 stamps 

  and he plans to save 2 stamps per week. How many weeks will it take for them to have 

 the same number of stamps?

c)

Kenneth has already read 6 books and he plans to read 2 more books every month. Aubrey 

  has read 2 books and plans on reading 1 more book every month. How many months will it 

 take for them to have read the same number of books?

d)

Mara has already jogged 2 miles this month. She plans to jog 2 miles per day for the rest of 

  the month. Jason has already jogged 6 miles this month. He plans to only jog 1 mile per day 

  for the rest of the month. How many days will it take for them to have jogged the same 

 number of miles.