Name ________________________________________ Date __________________ Class __________________
Linear Functions Review
1. Norma made the graph below to show the
relationship between the age and value of
12 cars. Which value, when removed from
the graph, would result in the relationship
being a function?
Use the diagrams below for 4–5.
4. Which mapping diagram represents
a relationship that is a function?
A (3.5, 4)
A Mapping A
B (9, 3)
B Mapping B
C (6, 5.25)
C both Mapping A and Mapping B
D (7, 5)
2. An elk was clocked running 45 miles per hour.
Which equation shows the relationship
between the distance, y, and time, x, that the
elk ran?
A y  45x
5. Which relationship is represented by Mapping B?
A {(3, 2), (5, 2), (7, 4)}
B {(2, 3), (2, 5), (4, 7)}
C {(2, 3), (2, 5), (2, 7),
(4, 3), (4, 5), (4, 7)}
B y  x  45
C y = 5x + 40
D y = 40x + 5
3. Why is this not a function?
6. Determine whether the relationship shown in the
table below is a function. Write function or not a
function.
Input
25
36
47
58
Output
45
34
23
23
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7. Which equation shows direct variation?
A 7 is not mapped onto itself.
A y=
x
2
C y=
2
x
D y=
1
+x
2
B 3 is mapped onto two different numbers.
C The numbers in the ovals are different.
D There are not enough numbers to decide
if this is a function.
B y=x+2
11. This table shows a proportional relationship.
Use the graph for 8-9.
x
-4
2
0
2
4
y
14
7
0
7
14
What is the constant ratio,
y
?
x
A -4
B 7
C 3.5
8. Complete the table to display the data shown
on the graph.
Use this situation for 12–13.
Time (weeks)
A repairman charges $90 plus $50 per hour.
Savings ($)
12. Which equation shows this situation?
A y  50x  90
9. Find the constant of proportionality and write
an equation for the relationship.
B y  90x  50
C y  70x  90
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13. What is the initial value, the cost when the time is 0
hours?
10. Find the equation of a line given the points
(5, -1) and (9, 1). (Hint: Use your 5 steps!)
A 0
B 50
C 90
14. Write the equation of the line passing through the
points (-3, 6) and (3, -6). (Hint: Use your 5 steps!)
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