Name:                         Date:  
1.  Erin shops at two stores for a new sweater. The sweater at the first store costs $15 less than three times the cost, c, of the sweater at the second store. The sweater at the first store costs $90. The equation below can be used to determine the cost of the sweater at the second store.
3c  – 15 = 90
Solve the equation to find the cost of the sweater at the second store. 
Workspace 
Show your work.

 

 

 
 
Answer $ ____________________________

2.  Mr. Adams will be serving 20 people at a barbeque.  He plans to make two hamburgers for each person.  Mr. Adams spent $27.00 at the store on the meat, which sells for $2.25 per pound.  If Mr. Adams wants to make all the hamburgers the same size, what will be the size, in pounds, of each hamburger?
Show your work.

 

 
Answer ___________________ pounds 

3.  At the grocery store, Jerry spent $24.75 for 3 pounds of chicken and 3 pounds of cheese. The cheese cost $4.50 per pound. What was the cost of the chicken per pound? 
(A)   $2.75 
(B)   $3.75 
(C)   $5.75 
(D)   $6.75 

4.  The square of a number, n, is equal to the sum of that number and 5. Which equation represents this relationship? 
(A)  2n = n + 5 
(B)  n2 = n + 5 
(C)  2n = n − 5 
(D)  (n + 5)2  = n + 5 

5.  Hector spent $17 for a tube of paint and 5 brushes. The tube of paint cost $8. Which equation can be used to find b, the cost of each brush? 
(A)   17 = 5b + 8 
(B)   17 = 8b + 5 
(C)   17b = 5 + 8 
(D)   17 = b + 5 +8 

6.  Stacy starts a savings account with $15. Each month she deposits $10 more into her account. Stacy now has saved $75.  Which equation can be used to determine
how many months, m, Stacy has deposited money into her savings account?

   
(A)   10m · 15 = 75 
(B)   15m · 10 = 75 
(C)   10m + 15 = 75 
(D)   15m + 10 = 75 

7.  Ms. Snyder wants to buy a television at an electronics store. All televisions at the store are  of the original price, p.  She has a $40 discount coupon she will use during the sale. Which equation should Ms. Snyder use to find the final price, f, of a television? 
(A)    
(B)    
(C)    
(D)    

8.  Which number is equivalent to the expression below?
                    │ −15 + 4 │ 
(A)   −19 
(B)   −11 
(C)   11 
(D)   19 

9.  If x = -24 and y = 6, what is the value of the expression │x + y │? 
(A)   18 
(B)   30 
(C)   −18 
(D)   −30 

10.  Simplify the expression below.
      3a2b + 6a2b 
(A)  9a2b 
(B)  9a4b2 
(C)  18a2b 
(D)  18a4b2 

11.  Mr. Turner bought x boxes of pencils. Each box holds 25 pencils. He left 3 boxes of pencils at home and took the rest to school. Which expression represents the total number of pencils he took to school?

(A)  22x 
(B)  25x – 3 
(C)  25 – 3x 
(D)  25x – 75 

12.  Which expression is equivalent to 14a - 4a + 5a - 3a? 
(A)   2a 
(B)   8a 
(C)   12a 
(D)   20a 

13.  This month, Drew worked six hours less than twice the number of hours, h, he worked last month. What expression represents the number of hours Drew worked this month?

(A)   2 − 6h 
(B)   2h − 6 
(C)   6 − 2h 
(D)   6h − 2 

14.
Simplify the expression below.
        
                    12xy − 15x + 6xy 
(A)   −9xy 
(B)   3xy 
(C)   18xy − 15x 
(D)   6xy − 15x 

15.  Simplify the expression below.

            −4x − (−x)

(A)   5x 
(B)   3x 
(C)   −3x 
(D)   −5x 

16.  Hank sells toy cars on a web site. The web site fee is $30. Hank sells each toy car for $4. What inequality does Hank use to determine how many toy cars, c, he must sell to make a profit of at least $50? 
(A)   34c ≤ 50 
(B)   34c ≥ 50 
(C)   4c + 30 ≤ 50 
(D)   4c − 30 ≥ 50 

17.  If x represents a given number, the expression “5 less than twice the given number” is written as 
(A)  5 < 2x 
(B)  5 < 2 + x 
(C)  2x − 5 
(D)  5 − 2x 

18.  An animal at the zoo is fed the same amount of food each day during the week. The animal also gets a total of  cup of treats throughout the week. The animal is not fed more than a
combined total of  cups of food and treats during the week. Which inequality shows all the possible amounts (x), in cups, of food the animal is fed each day? 
(A)      
(B)      
(C)      
(D)      

19.  The cost to print a poster is $4 per square foot plus a $3 flat fee. George’s teacher wants to print a poster for less than $25. Which graph shows all the poster sizes, in square feet, that
George’s teacher can have printed for less than $25? 
(A)      
(B)      
(C)      
(D)      

20.  Nadia is selling tickets for a school event. She has already sold 17 tickets. Her goal is to sell at least 100 tickets. Each day she is able to sell up to 10 tickets. What is the minimum number of days Nadia will need to sell tickets to reach her goal? 
(A)    5

(B)    6

(C)    8

(D)    9