TEST NAME: Comparing Slopes and review on Linear and Functions
TEST ID: 1325415
GRADE: 08 - Eighth Grade
SUBJECT: Mathematics
TEST CATEGORY: School Assessment
Comparing Slopes and review on Linear and Functions
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Student:
Class:
Date:
1.
In which table is y a function of x?
A.
x
y
6
5
2
3
–3
2
3
2
B.
x
y
0
2
3
4
–1
5
7
5
C.
D.
2.
x
2
3
4
5
y
–1
0
–5
7
x
0
–1
2
–1
y
6
3
4
5
Limousine Company P and Company R both charge a rental fee plus an
additional charge per hour.
The equation y = 50 + 30x models the total cost (in dollars), y, of renting a limousine from Company P
for x hours.
The table below shows the cost to rent a limousine from Company R for different lengths of time.
Company R
Time (hours)
1
2
3
4
5
Total Cost $100 $125 $150 $175 $200
Which statement accurately compares the per hour charges of the two companies?
A.
Company P charges $5 less per hour than Company R.
B.
Company P charges $5 more per hour than Company R.
C.
Company P charges $25 less per hour than Company R.
D.
Company P charges $25 more per hour than Company R.
Comparing Slopes and review on Linear and Functions
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3.
4.
In which choice do all the points lie on the same line?
A.
(0, –2), (1, –1), (2, 2), (3, 7)
B.
(0, 0), (1, 1), (2, 4), (3, 9)
C.
(0, 0), (1, 1), (2, 8), (3, 27)
D.
(0, 0), (1, 2), (2, 4), (3, 6)
Which function is nonlinear?
A.
B.
C.
D.
5. The table of values represents a linear function.
Which graph appears to have a line that is steeper than the line represented by the table of
values?
A.
Comparing Slopes and review on Linear and Functions
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B.
C.
D.
Comparing Slopes and review on Linear and Functions
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6. Which table of ordered pairs represents a line that has a slope that is the same as the slope of
the line represented by the equation
A.
B.
C.
D.
Comparing Slopes and review on Linear and Functions
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7. Which of the following graphs represents a linear relationship between x and y?
A.
B.
C.
D.
Comparing Slopes and review on Linear and Functions
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8. Which of the following does not represent a function of x ?
A.
B.
C.
D.
Comparing Slopes and review on Linear and Functions
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9. Which of the following is the graph of a function of x?
A.
B.
C.
D.
Comparing Slopes and review on Linear and Functions
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10. Which of the following equations does not represent a linear relationship between x and y?
A.
B.
C.
D.
11. Which of the following tables does not represent a linear relationship between x and y?
A.
B.
C.
D.
x
1
3
5
y
6
8
12
x
1
3
5
y
2
11
20
x
1
3
5
y
0
3
6
x
1
3
5
y
–5
0
5
12. Which statement best explains why the graphed relation is not a function?
A.
The graphed relation is not a line.
B.
There are infinitely many points on the graph.
C.
The domain of the graph does not include all real numbers.
D.
There are points on the graph with the same x-coordinate but different y-coordinates.
Comparing Slopes and review on Linear and Functions
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13. A relation contains the ordered pairs (3, 8), (6, 10), (9, 12), and (a, b). For which values of a and b
is the relation a function?
A.
a = 3 and b = 14
B.
a = 6 and b = 12
C.
a = 9 and b = 9
D.
a = 11 and b = 8
14. This table represents a function.
x
y
0
–2
2
4
4
10
5
13
Based on the pattern, what is the value of y when x is equal to 10?
A.
4
B.
18
C.
28
D.
43
15. The sets of ordered pairs below represent relations.
I
{(0, 0), (1, 1), (2, 2), (3, 3), (4, 4)}
II
{(1, 2), (2, 1), (1, 3), (0, 1), (3, 1)}
III
{(0, 2), (1, 2), (2, 4), (3, 4), (3, 6)}
IV
{(1, 6), (2, 6), (3, 6), (4, 6), (5, 6)}
Which of these sets are also functions?
A.
I only
B.
I and IV
C.
II and III
D.
II, III, and IV
16. Which equation represents a nonlinear function?
A.
B.
C.
D.
Comparing Slopes and review on Linear and Functions
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17. Which represents a linear function?
A.
B.
C.
D.
18. The table shows a linear relationship between x and y.
x
y
–3
– 4.5
–1
– 3.5
6
n
8
1
11
2.5
What is the value of n?
A.
B.
C.
D.
19. The table below shows a linear relationship between x and y.
x
y
0
b
2
1
4
9
6
17
8
25
What is the value of b?
A.
B.
C.
D.
20. Which graph represents a linear function?
Comparing Slopes and review on Linear and Functions
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A.
B.
C.
Comparing Slopes and review on Linear and Functions
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D.
21. What value should replace the question mark in the table below?
A.
4
B.
16
C.
17
D.
23
Comparing Slopes and review on Linear and Functions
x
y
0
–1
1
5
2
11
3
?
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22. Which relation below is a function?
A.
B.
C.
D.
x
y
0
–5
1
–6
0
–7
2
–8
x
y
0
5
1
6
0
7
2
8
x
y
0
0
1
1
0
4
2
9
x
y
0
0
1
3
2
4
3
6
23. In which set of ordered pairs, (x, y), is y not a function of x?
A.
B.
C.
D.
24. The ordered pairs
define the relation Q. Is Q a function?
A.
Yes, because there is exactly one y-value for every x-value.
B.
Yes, because there is exactly one x-value for every y-value.
C.
No, because there is more than one x-value for some y-values.
D.
No, because there is more than one y-value for every x-value.
Comparing Slopes and review on Linear and Functions
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25. The graphs below shows a change in the slope of the Line m from to
Which statement is true for the value of y when x has a value of 12?
A.
The value of y increased from 1 to 3.
B.
The value of y decreased from 3 to 1.
C.
The value of y increased from 3 to 9.
D.
The value of y decreased from 9 to 3.
26. If the coordinates from each table are graphed, which will form a linear pattern?
A.
B.
C.
D.
x
y
–1
2
0
4
1
8
2
16
x
y
2
2
3
1
4
2
5
3
x
y
3
7
5
8
6
10
8
13
x
y
2
5
4
6
6
7
8
8
Comparing Slopes and review on Linear and Functions
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27. Which of the following charts represents a function?
A.
B.
C.
D.
x
y
2
3
3
4.5
5
7.5
10
15
x
y
–2
5
–2
2
0
1
2
5
x
y
1
3
–1
–3
1
–3
–1
3
x
y
–2
–3
–2
1
0
–1
0
1
Comparing Slopes and review on Linear and Functions
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28.
Use Function S and Function T to answer the question.
Which statement is true about the Functions S and T?
A.
The slope of Function S is equal to the slope of Function T.
B.
The slope of Function S is steeper than the slope of Function T.
C.
The slope of Function S is not as steep as the slope of Function T.
D.
The relationship between the slopes of Functions S and T cannot be
determined.
Comparing Slopes and review on Linear and Functions
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29.
Which relation could also represent a function?
A.
{(3, 4), (0, 1), (−1, − 2), (−2, − 1), (0, − 1)}
B.
y=x+3
C.
D.
Comparing Slopes and review on Linear and Functions
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30.
The graph of function 1 and the equation of function 2 are shown below.
Function 1:
Function 2:
Which statement is true of function 1 and function 2?
A.
Function 2 has a greater rate of change because the slope of function
1 is
and the slope of function 2 is 5.
B.
Function 1 has a greater rate of change because the slope of function
1 is 5 and the slope of function 2 is
C.
Function 2 has a greater rate of change because the slope of function
1 is
and the slope of function 2 is 3.
D.
Function 1 has a greater rate of change because the slope of function
1 is 3 and the slope of function 2 is
Comparing Slopes and review on Linear and Functions
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31.
Consider the functions represented by the graph and table shown below.
Which statement is true of these functions?
A.
The rate of change of the function in the graph is more than that of
the function in the table by 2 units.
B.
The rate of change of the function in the graph is less than that of
the function in the table by 2 units.
C.
The rate of change of the function in the graph is more than that of
the function in the table by 1 unit.
D.
The rate of change of the function in the graph is less than that of
the function in the table by 1 unit.
Comparing Slopes and review on Linear and Functions
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32.
Function 1 and function 2 can be represented by the description and the
table shown below.
Function 1: Mike bought a computer for $1,100, and the computer’s value
depreciates by $400 each year.
Function 2: Cathy deposits $650 in a new checking account. Each week
after that, the amount in her account changes according to the table
below, in which y represents the total amount in the checking account as
a function of the number of weeks, x.
Which statement is true of functions 1 and 2?
A.
Functions 1 and 2 both have positive slopes, but the y-intercept of
function 1 is larger than that of function 2.
B.
Functions 1 and 2 both have negative slopes, but the y-intercept of
function 1 is smaller than that of function 2.
C.
Function 1 has a positive slope and a smaller y-intercept, while
function 2 has a negative slope and a larger y-intercept.
D.
Function 1 has a negative slope and a larger y-intercept, while
function 2 has a positive slope and a smaller y-intercept.
Comparing Slopes and review on Linear and Functions
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33.
Function 1 and function 2 can be represented as shown below.
Function 1:
Function 2:
Which statement correctly compares the rates of change of functions 1
and 2?
34.
A.
The slope of function 1 is
and the slope of function 2 is
function 2 is changing at a faster rate.
so
B.
The slope of function 1 is
and the slope of function 2 is
function 2 is changing at a faster rate.
C.
The slope of function 1 is
and the slope of function 2 is
function 1 is changing at a faster rate.
so
D.
The slope of function 1 is
and the slope of function 2 is
function 1 is changing at a faster rate.
so
so
Which graph represents a function with a greater rate of change than the
equation
A.
Comparing Slopes and review on Linear and Functions
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B.
C.
D.
Comparing Slopes and review on Linear and Functions
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35.
Compare the slope and y-intercept of the graph below with the slope and
y-intercept of the equation
Compared with the equation, which statement is true about the graph?
A.
The graph has a smaller slope and a lower y-intercept.
B.
The graph has a larger slope and a higher y-intercept.
C.
The graph has a larger slope and a lower y-intercept.
D.
The graph has a smaller slope and a higher y-intercept.
Comparing Slopes and review on Linear and Functions
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36.
Which representation shows a rate that is less than 60 miles per hour?
A.
Time
(in hours)
0.5
1.5
2.0
Distance
(in miles)
30
90
120
where x represents time in hours and y represents distance in
B.
miles
C.
D.
A line that passes through the origin and has a slope of 65
Comparing Slopes and review on Linear and Functions
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37.
Pete’s Plumbing charges a flat fee of $28 for a house call and inspection
and an additional $35 per hour for any onsite work. Which table
represents a cost function with a greater hourly rate than these charges?
A.
B.
C.
D.
Comparing Slopes and review on Linear and Functions
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38.
Function J is represented by the equation y = x + 4. Function K is shown
on the graph below.
What is the difference in the slopes of the two functions?
A.
1
B.
2
C.
3
Comparing Slopes and review on Linear and Functions
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39.
Susan’s Scooter Rentals charges a $75 deposit, plus $35 per hour. Carol’s
Scooter Rentals charges their customers based on the table below.
Carol’s Scooter Rentals
Customer
Hours
Charges
(x)
(y)
2
$145
4
$215
6
$285
Which statement is true?
A.
Susan’s Scooter Rentals charges $5 more per hour than Carol’s
Scooter Rentals.
B.
Carol’s Scooter Rentals charges $5 more per hour than Susan’s
Scooter Rentals.
C.
Both scooter rental companies charge the same amount.
Comparing Slopes and review on Linear and Functions
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40.
The table and graph below represent two different functions.
Function 1
x
y
–2
1
2
5
4
7
Function 2
Given the two functions, which statement is true?
A.
The slopes of both functions are the same.
B.
The y-intercepts of both functions are the same.
C.
The slope of Function 1 is greater than the slope of Function 2.
Comparing Slopes and review on Linear and Functions
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41.
The equation of function J is y = x – 1. The table below shows some
points of function K.
x
y
4
1
6
2
8
3
Which is true about the two functions?
A.
The slope of function J is greater than the slope of function K.
B.
The y-intercept of function J is greater than the y-intercept of
function K.
C.
The slopes of functions J and K are the same.
Comparing Slopes and review on Linear and Functions
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42.
Two functions are shown below.
Function 1:
Function 2:
x
y
–4
–12
–2
–9
–6
0
–3
2
4
0
Which statement is true?
A.
The y-intercepts are the same.
B.
The slope of Function 1 is greater than the slope of Function 2.
C.
The slope of Function 2 is greater than the slope of Function 1.
D.
The y-intercept of Function 2 is greater than the y-intercept of
Function 1.
Comparing Slopes and review on Linear and Functions
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43.
Kevin is looking at bicycle rental companies to use while he is on
vacation. Company 1 charges $4.50 per hour, plus a one-time fee of $9.
The table below shows the total cost to rent a bicycle for different
amounts of time from Company 2.
Company 2
Number of Hours (x)
2
4
6
Total Cost (y)
$18.00
$29.00
$40.00
Which statement is true?
44.
A.
Company 1 charges $1 less per hour than Company 2.
B.
Company 1 charges $1 more per hour than Company 2.
C.
Company 1 charges $2 less per hour than Company 2.
D.
Company 1 charges $2 more per hour than Company 2.
Taxi Company #1 uses the equation y = 4x + 2 to calculate the cost, y,
to ride x number of miles. Taxi Company #2 uses the table below to
calculate the cost for a ride.
Taxi Company #2
Miles
Cost
3
$14.95
5
$23.75
8
$36.95
Which company charges the most per mile and by how much?
A.
Taxi Company #1, by $0.25
B.
Taxi Company #2, by $0.25
C.
Taxi Company #1, by $0.40
D.
Taxi Company #2, by $0.40
Comparing Slopes and review on Linear and Functions
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45.
A parking deck for a museum uses the equation y = 2.75x + 5 to
calculate the cost, y, to park a car x number of hours. A parking deck for
a hotel uses the table below to calculate the cost to park a car hourly.
Hotel Parking Deck
Hours
Cost
3
$14.75
6
$21.50
10
$30.50
Which parking deck charges the most per hour and by how much?
A.
The parking deck for the hotel charges $1.50 more per hour.
B.
The parking deck for the museum charges $1.50 more per hour.
C.
The parking deck for the hotel charges $0.50 more per hour.
D.
The parking deck for the museum charges $0.50 more per hour.
Comparing Slopes and review on Linear and Functions
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46.
Kelly’s Equipment Rental and Wendy’s Watersports charge by the hour to
rent a kayak. The graph below shows the total cost to rent a kayak from
Kelly’s Equipment Rental based on different numbers of hours.
Kelly’s Equipment Rental
The total costs to rent a kayak from Wendy’s Watersports are listed in the table below.
Wendy’s Watersports
Hours
Cost
2
$35
5
$65
7
$85
Who charges less per hour, and by how much?
A.
Kelly’s Equipment Rental charges $10 less per hour.
B.
Wendy’s Watersports charges $10 less per hour.
C.
Kelly’s Equipment Rental charges $5 less per hour.
D.
Wendy’s Watersports charges $5 less per hour.
Comparing Slopes and review on Linear and Functions
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47.
Two plumbing companies charge a flat fee, plus an additional cost per
hour of service. Martin’s Plumbing uses the equation y = 40x + 85 to
determine the total cost of providing x hours of service to a customer.
The table below shows the total cost to use Alex’s Plumbing for different
numbers of hours of service.
Alex’s Plumbing
Number of Hours (x)
Total Cost (y)
3
$240.00
7
$460.00
9
$570.00
What is the difference in the cost per hour charged by the two companies?
A.
$5
B.
$10
C.
$15
D.
$30
Comparing Slopes and review on Linear and Functions
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