Unit 2 Test
1. The graph shows a proportional relationship. Use
the graph to identify the unit rate.
3. What equation could be written for this table?
d
a.
b.
c.
d.
Distance (km)
120
80
4. Identify the equation for the function represented in
the graph.
40
1
2 3 4 5
Time (hours)
6
7 t
a. 30 hours per kilometer
b. 60 kilometers per hour
c. 30 kilometers per hour
d.
kilometers per hour
2. The number of pages p that a laser printer prints is
proportional to the printing time t, in minutes.
Printer A prints 104 pages in 4 minutes. The table
shows the relationship between the amount of time
and the number of pages printed for printer B.
Which printer prints more slowly?
Time
(minutes)
3
5
9
14
a.
b.
c.
d.
Pages
printed
84
140
252
392
Printer A
Printer B
Printer A and printer B have the same unit rate.
The relationship cannot be determined.
5. What equation could be written for this table?
a.
b.
c.
d.
6. Which of these functions is a linear function?
a.
b.
c.
d.
7. Which equation does not represent a linear
function?
a.
b.
c.
d.
8. Which points are on the graph of a linear function?
a.
,
, and
b.
,
, and
c.
,
, and
d.
,
, and
9. Mason has planted 6 rows in the vegetable garden.
He continues to work, planting 1 row every 2 hours.
Write a function to represent this situation.
a.
b.
c.
d.
10. Write the slope-intercept form of the equation for
the line passing through the point
and
having slope
.
11. The graph shows the relationship between a
candle’s height h, in centimeters, and time t, in
hours, as the candle burns. What function models
this relationship?
20
Time
(weeks)
2
4
6
8
10
13. Which graph corresponds to the temperature in an
oven that is turned on to bake a loaf of bread then
turned off when the bread is done?
a.
b.
16
14
12
10
8
c.
6
4
2
1
a.
b.
c.
d.
2
3 4 5 6 7
Time (hours)
8
9
t
Savings
(dollars)
75
115
155
195
235
a.
b.
c.
d.
h
18
Height (cm)
12. Vincent’s savings over several weeks are shown in
the table. If a linear function models Vincent’s
savings over time, how much money did he initially
have?
d.
14. Which of the following situations corresponds to
this graph?
17. In the graph of the function, for what values of
increasing?
10
y
9
8
7
a. A bicyclist accelerates from a stop, travels at a
constant speed, then slows to a stop.
b. A car accelerates from a stop, travels at a
constant speed, slows, and then travels at a
slower speed.
6
5
4
3
2
15. If distance is represented on the y-axis and time on
the x-axis, what does a line that is horizontal
represent?
a. no motion
b. motion at a constant speed
16. Which of the following situations corresponds to
this graph?
1
1
a.
b.
c.
d.
2
3
4
5
6
7
8
9
x
Between
and
Between
and
Between
and
The function is never increasing.
18. What segment of the graph shows the function
having a constant value?
10
y
9
8
a. A car accelerates from a stop, travels at a
constant speed, slows, and then travels at a
slower speed.
b. An airplane travels at a constant speed then
decelerates to a slower speed.
c. An athlete warms up by walking around the
track, runs, then jogs.
d. A bicyclist accelerates, travels at a constant
speed, then slows to a stop.
7
6
5
3
1
4
4
2
3
2
1
1
a.
b.
c.
d.
1
2
3
4
2
3
4
5
6
7
8
9
x
is
19. Which of the curves on the graph below indicate a
function?
21. Which is a solution to the equation
a.
b.
c.
d.
?
22. Identify the slope and y-intercept of the line with
the equation
. Use the slope and yintercept to graph the equation.
23. Find the slope-intercept form of the line that passes
20. Which set of ordered pairs represents a function?
through the point
and has a slope of .
a. (2, 5), (1, 6), (0, 5), (1, 10)
b. (0, 0), (1, 1), (2, 0), (3, 3)
c. (2, 1), (3, 1), (5, 1), (5, 4)
d. (5, 4), (4, 5), (1, 2), (1, 4)
24. Tell which graph corresponds to the situation described below. Explain the reasons for your choice.
Time
Graph 3
Speed
Speed
Graph 2
Speed
Graph 1
Time
Time
William does his warm-up stretches, begins walking, and then speeds up to his routine jogging pace, which he
continues as he disappears around the corner.
25. What values will complete this table to show a proportional relationship?
–1
0
1
2
3
x
4
?
?
?
–12
y
26. The table and graph below represent the same
function. Use the graph to fill in the missing values
in the table.
y
6
4
Input
Output
0
1
0
2
–6
3
–4
–2
2
–2
2
–4
–6
4
6
x
27. Add a line to the mapping diagram so that it no
longer represents a function. Explain why it no
longer represents a function.
Input
A
Output
1
B
2
C
3
D
E
4
28. Jamal owns a computer store. He is tracking his profits from a new computer game he is selling. The table shows
Jamal’s profits according to how many games were sold.
Games
sold
2
4
6
8
Profit
(dollars)
He finds the linear function that models his profit p, in dollars, to be
, where
is the number of
computer games sold. His work for finding the rate of change and initial value is shown below.
Rate of change:
Initial value:
a. Identify and correct Jamal’s error. Write the function that actually models the profit. Show your work.
b. Interpret the rate of change and the initial value found in part a using the fact that profit is the difference
between income and expenses.
c. How many games will Jamal need to sell to break even? Explain. Show your work.
Unit 2 Test
Answer Section
1. C
2.
3.
4.
5.
6.
7.
8.
9.
Input
A
B
0
1
2
A
B
B
A
C
Output
0
1
2
3
4
27. Possible answer:
Input
Output
10.
A
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
A
C
A
A
A
A
A
C
A and B
B
C
1
B
2
C
3
D
E
4
The mapping diagram no longer represents a function
because the input value A is now mapped to two
different output values, 1 and 2.
y
28. a. Jamal switched the two variables, and , when
finding the rate of change and initial value. The
correct rate of change is 20, and the correct
initial value is
. So, the function that models
Jamal’s profit is
.
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
Rate of change:
–2
–3
–4
–5
23.
or
24. Graph 2 corresponds to the situation. The person’s
speed is 0 at the start, increases, and then remains
steady.
25. 0;
26.
;
Initial value:
b. A rate of change of 20 is the price at which he
sells each game. Because each game sold adds
$20 to his income, his profit increases by $20
each time a game is sold. An initial value of
represents the amount that Jamal paid for
all the games in his store’s inventory. It is
negative because it’s an expense to Jamal.
Initially, Jamal has no income from the games,
only the expense of purchasing them from his
supplier.
c. Jamal breaks even when
.
So, Jamal will need to sell 22 games to break
even.