Download Name Date Class Linear Relationships Review for Test 1. Which

Name _______________________________________ Date __________________ Class __________________
MODULE
7
Linear Relationships
Review for Test
1. Which equation below represents the relationship shown in the table?
A yx5
x
0
1
3
y
5
7
11
B yx6
C y  2x  5
D y  3x  2
2. Josefina deposited $250 into her savings account. She then saved $40 per month. Which
of the following equations shows a, the amount in Josefina’s saving account after t
months?
A a  250  40t
B a  250  40t
C a  40  250t
D a  40  210t
3. The equation y  9.5x  100 represents the amount y that Javier earns by working at the
grocery store for x hours, plus a holiday bonus. Which of the following is the amount of
Javier’s holiday bonus?
A $9.50
B $90.50
C $100
D $109.50
4. On the first day of the month, Jane has $500 in her checking account. Each time she buys
lunch she spends $8. If Jane purchases x lunches in a month, how much money will remain
in her account, in terms of x?
A 500  8x
5.
C 8  500x
D 8  500x
Which table represents the same linear relationship as y  3x  2?
x
A
0
2
4
y
2
5
8
x
0
1
2
C
y
6.
B 500  8x
2
2
4
x
0
2
5
y
3
6
13
x
0
1
2
y
2
1
4
B
D
Write the equation that represents the graph shown below?
Name _______________________________________ Date __________________ Class __________________
7.
John says that the number y is equal to 5 more than 15 times x. Write an equation that
could be used to find the value of y?
8.
Jasper paid $30 to activate his cellular phone plus a monthly charge of $50. Daria paid $50 to
activate her cellular phone plus a monthly charge of $40. Jasper and Daria use their cellular
phones for 3 months. Who pays more? How much more? Show all work below.
9. Give an algebraic expression to represent the phrase below?
a number n decreased by 5 _______________
10. What is the value of the expression h  20 when h  60?
Use the graph for 11–13.
The graph shows the price of a salad at a salad bar, based on the number of ingredients
added.
11. What is the price of the salad without any additional ingredients?
12. How much does each additional ingredient cost?
13. What equation can you write to describe the relationship between the price of the salad and
the number of additional ingredients?
Name _______________________________________ Date __________________ Class __________________
Use the table for 14-15.
Cost of Purchasing Songs
# of Songs
Price ($)
1
2
3
4
1.49
2.98
4.47
5.96
14. Describe a pattern in the row that shows the price of the songs.
15.There is a one-time charge of $7.50 to join the club that allows you to purchase the songs as
listed in the table. Write an equation that shows how much a purchase of x songs costs.
Use the table for 16–18.
Cybercafe Internet Usage Fees
Minutes
20
40
60
Cost ($)
$7
$11
$15
16. What is the initial fee charged to use the Internet?
17. What is the cost of Internet usage per minute?
18. What would be the cost if a customer wanted to use the Internet for 45 minutes at the
cybercafé?
19. Anna, Vickie, and Luanna are sisters. Anna is 3 years older than Vickie, and Luanna is 2
years younger than Vickie. Use v for Vickie’s age. Write expressions to show the ages of
the other two sisters.
Anna’s age: ________________________
Luanna’s age: _______________________
20. Evaluate the expression below for m  350.
3.5m ________________
21. Chang is 6 inches taller than Nancy. Use n for Nancy’s height.
a. Write an expression for Chang’s height.
b. Evaluate the expression for n  60. What does your answer represent?
Name _______________________________________ Date __________________ Class __________________
22.
Which of the equations below shows the relationship in the table?
x
15
5
3
1
y
1
3
5
15
A y  15x
B y  x  14
C yx2
D y
15
x
23. Sahil got 28 questions right on the math test. Angelina got 7 more wrong answers than
Sahil. There were 40 questions on the test. How many answers did Angelina get right on
the math test? Which equation represents this situation?
A a  7  12
B a 7  28
C 7  12  a
D 7  40  a
24. Twelve inches is cut from a board. The remaining board is 18 inches long. Write an
equation to represent the situation.
25. There are 144 pencils in a box. If each member of the class gets 8 pencils, there will be no
pencils left over. How many members of the class are there?
Write an equation to represent the situation. Then solve the equation to answer the
problem.
26. Jeff found 3 times as many seashells as his sister. Jeff found 39 seashells. How many
seashells did his sister find?
Write an equation to represent the situation. Then solve the equation
to answer the problem.
27. Complete the table and graph the ordered pairs.
X
0
1
2
3
3x - 4
Y
(x,y)
Date _________________________________ Class _________________