Name: 
 

Chapter 8 Study Guide



Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 
 
Graph the relation in the table. Then use the vertical-line test. Is the relation a function?
 

 1. 


x
y
–1
3
1
–1
2
2
1
3
a.
chapter8studyguide_files/i0030000.jpg
The relation is a function.
c.
chapter8studyguide_files/i0030001.jpg
The relation is a function.
b.
chapter8studyguide_files/i0030002.jpg
The relation is not a function.
d.
chapter8studyguide_files/i0030003.jpg
The relation is not a function.
 

 2. 

Find the solution of y = 6x + 1 for x = 5.
a.
(5, chapter8studyguide_files/i0040000.jpg)
b.
(–29, 5)
c.
(5, 36)
d.
(5, 31)
 

 3. 

Which ordered pair is a solution of the equation 5x + y = –23?
a.
(–3, –4)
b.
(–5, –3)
c.
(–4, –3)
d.
(–3, –5)
 

 4. 

Dennis takes care of private swimming pools. He charges $50 to travel to a home and then $30 per hour. The equation t = 50 + 30h models the total charge t for h hours of service. Which ordered pair (h, t) is NOT a solution for the equation?
a.
(8, 290)
b.
(10, 350)
c.
(2, 110)
d.
(3, 180)
 
 
Graph the linear equation.
 

 5. 

y = chapter8studyguide_files/i0080000.jpgx – 5
a.
chapter8studyguide_files/i0080001.jpg
c.
chapter8studyguide_files/i0080002.jpg
b.
chapter8studyguide_files/i0080003.jpg
d.
chapter8studyguide_files/i0080004.jpg
 

 6. 

x = 2
a.
chapter8studyguide_files/i0090000.jpg
c.
chapter8studyguide_files/i0090001.jpg
b.
chapter8studyguide_files/i0090002.jpg
d.
chapter8studyguide_files/i0090003.jpg
 
 
Solve the equation for y. Then graph the equation.
 

 7. 

5x – 4y = 12
a.
y = chapter8studyguide_files/i0110000.jpgx chapter8studyguide_files/i0110001.jpg
chapter8studyguide_files/i0110002.jpg
c.
y = chapter8studyguide_files/i0110003.jpgx chapter8studyguide_files/i0110004.jpg
chapter8studyguide_files/i0110005.jpg
b.
y = chapter8studyguide_files/i0110006.jpgx chapter8studyguide_files/i0110007.jpg
chapter8studyguide_files/i0110008.jpg
d.
y = chapter8studyguide_files/i0110009.jpgx chapter8studyguide_files/i0110010.jpg
chapter8studyguide_files/i0110011.jpg
 
 
Find the slope of the line.
 

 8. 

chapter8studyguide_files/i0130000.jpg
a.
chapter8studyguide_files/i0130001.jpg
b.
chapter8studyguide_files/i0130002.jpg
c.
chapter8studyguide_files/i0130003.jpg
d.
chapter8studyguide_files/i0130004.jpg
 
 
Find the slope of the line through the pair of points.
 

 9. 

C(–6, –7), K(–1, –7)
a.
0
b.
chapter8studyguide_files/i0150000.jpg
c.
chapter8studyguide_files/i0150001.jpg
d.
undefined
 
 
Identify the slope and y-intercept of the graph of the equation. Then graph the equation.
 

 10. 

y = chapter8studyguide_files/i0170000.jpgx + 1
a.
slope: chapter8studyguide_files/i0170001.jpg; y-intercept: –1
chapter8studyguide_files/i0170002.jpg
c.
slope: chapter8studyguide_files/i0170003.jpg; y-intercept: 1
chapter8studyguide_files/i0170004.jpg
b.
slope: chapter8studyguide_files/i0170005.jpg; y-intercept: 1
chapter8studyguide_files/i0170006.jpg
d.
slope: chapter8studyguide_files/i0170007.jpg; y-intercept: –1
chapter8studyguide_files/i0170008.jpg
 

 11. 

chapter8studyguide_files/i0180000.jpg
a.
slope: –1; y-intercept: 0
chapter8studyguide_files/i0180001.jpg
c.
slope: 0; y-intercept: 0
chapter8studyguide_files/i0180002.jpg
b.
slope: 1; y-intercept: 0
chapter8studyguide_files/i0180003.jpg
d.
slope: –1; y-intercept: 0
chapter8studyguide_files/i0180004.jpg
 

 12. 

The sales tax in one state is 7%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $150.
a.
f(x) = x – 7; $148.93
c.
f(x) = 7 + x; $151.07
b.
f(x) = 0.07x; $10.50
d.
f(x) =1.07x; $160.50
 
 
Write a rule for the linear function in the table.
 

 13. 


x
f(x)
–4
16
0
0
4
–16
8
–32
a.
f(x) = –4x
b.
f(x) = x + 16
c.
f(x) = 4x
d.
f(x) = chapter8studyguide_files/i0210000.jpgx
 

 14. 


x
f(x)
1
3
2
2
3
1
4
0
a.
f(x) = 4x
b.
f(x) = x – 4
c.
f(x) = x + 4
d.
f(x) = 4 – x
 

 15. 

Write a rule for the linear function in the graph.
chapter8studyguide_files/i0230000.jpg
a.
y = chapter8studyguide_files/i0230001.jpgx + 13
b.
y = chapter8studyguide_files/i0230002.jpgx – 13
c.
y = chapter8studyguide_files/i0230003.jpgx – 13
d.
y = chapter8studyguide_files/i0230004.jpgx – 13
 

 16. 

The scatter plot shows the number of students per class at Monida Middle School and the number of magazine subscriptions each class sold for a fund-raiser. About how many subscriptions did the class of 30 students sell?
chapter8studyguide_files/i0240000.jpg
a.
about 185 subscriptions
c.
about 165 subscriptions
b.
about 175 subscriptions
d.
about 195 subscriptions
 

 17. 

Use the table to make a scatter plot of the temperature and the number of ice cream cones sold at the school cafeteria.
Temperature
Number of Cones Sold
59
58
76
83
94
102
67
73
85
99
74
78
97
107
a.
chapter8studyguide_files/i0250000.jpg
c.
chapter8studyguide_files/i0250001.jpg
b.
chapter8studyguide_files/i0250002.jpg
d.
chapter8studyguide_files/i0250003.jpg
 
 
Solve the system of equations by graphing.
 

 18. 

y = chapter8studyguide_files/i0270000.jpgx + 3
y = chapter8studyguide_files/i0270001.jpgx – 7
a.
chapter8studyguide_files/i0270002.jpg
(–4, 1)
c.
chapter8studyguide_files/i0270003.jpg
(–4, 1)
b.
chapter8studyguide_files/i0270004.jpg
(0, 0)
d.
chapter8studyguide_files/i0270005.jpg
(–4, 1)
 

 19. 

chapter8studyguide_files/i0280000.jpg
a.
chapter8studyguide_files/i0280001.jpg
(2, 5)
c.
chapter8studyguide_files/i0280002.jpg
(2, 4)
b.
chapter8studyguide_files/i0280003.jpg
(5, 2)
d.
chapter8studyguide_files/i0280004.jpg
(4, 2)
 

 20. 

chapter8studyguide_files/i0290000.jpg
a.
chapter8studyguide_files/i0290001.jpg
(5, –5)
c.
chapter8studyguide_files/i0290002.jpg
(1, 2)
b.
chapter8studyguide_files/i0290003.jpg
(–10, –5)
d.
chapter8studyguide_files/i0290004.jpg
(6, –3)
 

 21. 

chapter8studyguide_files/i0300000.jpg
a.
chapter8studyguide_files/i0300001.jpg
infinitely many solutions
c.
chapter8studyguide_files/i0300002.jpg
(2, 3)
b.
chapter8studyguide_files/i0300003.jpg
no solution
d.
chapter8studyguide_files/i0300004.jpg
(3, 5)
 

 22. 

Find two numbers with a sum of 20 and a difference of 14.
a.
4 and 18
c.
2 and 16
b.
–3 and –17
d.
3 and 17
 
 
Graph the inequality on a coordinate plane.
 

 23. 

chapter8studyguide_files/i0330000.jpg
a.
chapter8studyguide_files/i0330001.jpg
c.
chapter8studyguide_files/i0330002.jpg
b.
chapter8studyguide_files/i0330003.jpg
d.
chapter8studyguide_files/i0330004.jpg
 

 24. 

x chapter8studyguide_files/i0340000.jpg –2
a.
chapter8studyguide_files/i0340001.jpg
c.
chapter8studyguide_files/i0340002.jpg
b.
chapter8studyguide_files/i0340003.jpg
d.
chapter8studyguide_files/i0340004.jpg
 
 
Write a linear inequality for the graph.
 

 25. 

chapter8studyguide_files/i0360000.jpg
a.
chapter8studyguide_files/i0360001.jpg
c.
chapter8studyguide_files/i0360002.jpg
b.
chapter8studyguide_files/i0360003.jpg
d.
chapter8studyguide_files/i0360004.jpg
 
 
Solve the system of inequalities by graphing.
 

 26. 

chapter8studyguide_files/i0380000.jpg
a.
chapter8studyguide_files/i0380001.jpg
c.
chapter8studyguide_files/i0380002.jpg
b.
chapter8studyguide_files/i0380003.jpg
d.
chapter8studyguide_files/i0380004.jpg
 

 27. 

chapter8studyguide_files/i0390000.jpg
a.
chapter8studyguide_files/i0390001.jpg
c.
chapter8studyguide_files/i0390002.jpg
b.
chapter8studyguide_files/i0390003.jpg
d.
chapter8studyguide_files/i0390004.jpg
 



 
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