Name_____________________________________
Date _____________________________
Period________
Test 2.1 REVIEW – Slope, Unit Rate & Linear Relationships
1. State the slope of each line graphed
below.
4. The functions on the graph and the
table show two cars on a 500-mile
trip.
A.________
B. ________
C. _______
Car B
2. The graph shows a bicycle rider. She
moves at a constant speed. Find the
slope of the line. What does this tell
Time (h)
Miles
Left
0
1
2
3
500
497
488
473
you about the speed?
Why is the function in the table not
linear?
_________________________________
It takes Car B almost 13 hours to get
home. Which car gets home first?
Explain how you know.
_________________________________
_________________________________
slope  ___________________________
_________________________________
____________________________
3. Write an equation for the bicycle
rider in problem 2. Use y for the
distance and x for the time.
y  ___________________________
5. Biking at a constant rate, Ellle travels
35 miles in 7 hours. If she travels at
the same speed, how far will Elle bike
in 9 hours? (Find the unit rate first)
6. If Maddie earns $8 an hour at her
job, what is the slope of the line that
represents this situation?
9. Look at the graph below.
7. Which equation shows the relationship
in the table?
Weeks (x)
Trees Planted
(y)
2
5
10
40
100
200
Which is the best interpretation of this
graph?
A
A
y  2x
B
y  20x
C
y  2x + 40
D
y  40x
8. Give the letter of the line that has the
following slope:
Brycen earns $20 for each hour
worked.
B For every 10 pieces of candy
Stephanie buys, she pays $1.
C For every 10 students at a dance,
2 teachers are needed as
chaperones.
D A runner runs at a constant rate of
2 miles every 30 minutes.
Positive slope __________
Negative slope _________
Zero slope _____________
Undefined _____________
10. Amber is traveling by bus to see a
friend who moved away from her
neighborhood. She has been on the
bus for 2 hours and has traveled 120
miles. Which equation can be used
to show the distance, d, she will
travel in hours, t, assuming the bus
will travel at a constant speed?
A d = 2t
B d = 60t
C d = 150t
D d = 155t
11. Grace is buying fruit at the grocery
store. Use the graph below to
determine the unit rate.
13. The graph represents the money in
Sierra's savings account over a
period of five years.
What is the slope of the graph? _________
A. What does the slope of the graph
represent?
What is the rate of change? ____________
12. Nyla helps out at her uncle's ice
cream stand over the summer. The
graph below shows how much Nyla
earns for working at her uncle's ice
cream stand.
What is the rate at which Nyla earns
money working at her uncle’s ice cream
stand? What is the slope of the line that is
graphed?
Rate _______________ Slope? ____________
B. What is the slope of the graph?
C. If Sierra continues to put money
into her savings account at the same
rate, how much will she have in her
account after nine years?
1
14. If the slope of the line is - 4 and the
point (1,9) is on the line, find 2 more
points on the line.
17. The table below represents points on
a line.
x
-2
2
6
10
y
0
6
12
18
What is the slope of the line?
18. Determine the rate of change in the
graph below.
15. It costs $122.50 to rent a jet ski for 5
hours. At this rate, how much would
it cost to rent the jet ski for only 3
hours?
16. Find the slope of the line that passes
through each of the points listed:
a. (5, -4) and (-7, 5)
19. Find the unit rate for the table &
graph below. Who was driving the
fastest? Ben or Sally? Describe how
you know.
b. (-2, 0) and ( 0, 10)
c. (-7, -3) and (-1, 6)
Sally
Time (h)
2
3
4
5
Distance
(mi)
55
70
85
100