Name: ___________________________
Algebra Multiple Choice Study Guide
Date: _____________
Part I: Multiple Choice
Identify the choice that best completes the statement or answers the question. Show all work on a separate sheet of lined
paper.
HOLT Chapter 2: Equations
____
____
____
____
____
1. If
a. 3
b. –5
, find the value of
.
c. 5
d. –3
2. Solve
.
a.
c.
b.
d.
3. Solve
.
a.
c.
b.
d.
4. Sara needs to take a taxi to get to the movies. The taxi charges $4.00 for the first mile, and then $2.75 for each
mile after that. If the total charge is $20.50, then how far was Sara’s taxi ride to the movie?
a. 6 miles
c. 5.1 miles
b. 7 miles
d. 7.5 miles
5. Solve
.
a.
c.
b.
d.
____
6. The formula for the resistance of a conductor with voltage V and current I is
a. I = Vr
c. V = Ir
b.
d.
____
7. Solve
a. x = 55
b. x = 13
8. Solve
a. x = 1
b. x = 11
____
.
c. x = 55 or x = –43
d. x = 13 or x = –1
.
c. No solution
d. x = 8
3
6
HOLT Chapter 3: Inequalities
____
9. Write the inequality shown by the graph.
–7
–6
–5
a. m  –3
b. m  –3
–4
–3
–2
–1
0
1
2
3
4
5
6
7
m
c. m  –3
d. m  –3
. Solve for V.
____ 10. To join the school swim team, swimmers must be able to swim at least 500 yards without stopping. Let n
represent the number of yards a swimmer can swim without stopping. Write an inequality describing which
values of n will result in a swimmer making the team. Graph the solution.
a.
0
100 200 300 400 500 600 700 800 900 1000
n
0
100 200 300 400 500 600 700 800 900 1000
n
0
100 200 300 400 500 600 700 800 900 1000
n
0
100 200 300 400 500 600 700 800 900 1000
n
b.
c.
d.
____ 11. Denise has $365 in her saving account. She wants to save at least $635. Write and solve an inequality to
determine how much more money Denise must save to reach her goal. Let d represent the amount of money
in dollars Denise must save to reach her goal.
a.
c.
;
;
b.
d.
;
;
____ 12. Solve the inequality n – 4  3 and graph the solutions.
a. n  –7
–10 –8
–6
–4
–2
0
2
4
6
8
10
–6
–4
–2
0
2
4
6
8
10
–6
–4
–2
0
2
4
6
8
10
–6
–4
–2
0
2
4
6
8
10
b. n  –7
–10 –8
c. n  1
–10 –8
d. n  1
–10 –8
____ 13. Solve and graph the solutions of the compound inequality
a.
AND
0
b.
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
.
AND
0
c.
AND
0
d.
AND
0
HOLT Chapter 5: Linear Functions
____ 14. Find the x- and y-intercepts.
y
10
8
6
4
2
–10 –8
–6
–4
–2
–2
2
4
6
8
10
x
–4
–6
–8
–10
a. x-intercept: –10, y-intercept: 5
b. x-intercept: 5, y-intercept: 10
c. x-intercept: 10, y-intercept: –5
d. x-intercept: 10, y-intercept: 5
____ 15. Find the slope of the line.
y
8
6
4
2
–8
–6
–4
–2
2
4
6
8
x
(5, –3)
–2
–4
–6
(2, –5)
–8
a.  3
5
c.
b.
d.  2
3
2
3
____ 16. Find the slope of the line that contains
a.  11
3
b.  3
5
3
2
and
c.  3
11
.
d.  5
3
____ 17. Find the slope of the line described by x – 3y = –6.
a. 1
c. 3
3
b.  1
3
d. 3
____ 18. The equations of four lines are given. Identify which lines are parallel.
Line 1: y = 7 x + 6
1
Line 2:
x + 5 y = –6
Line 3:
Line 4:
y = 5 x – 8
1
y + 7 =  7 (x + 4)
a. Lines 2 and 3 are parallel.
b. Lines 1 and 2 are parallel.
HOLT Chapter 6: Systems of Equations/ Inequalities
____ 19. Solve
c. All four lines are parallel.
d. Lines 1 and 4 are parallel.
by using elimination. Express your answer as an ordered pair.
a. (–2, –3)
c. (0, –2)
b. (–2, 0)
d. (–8, –6)
____ 20. At the local pet store, zebra fish cost $2.10 each and neon tetras cost $1.85 each. If Marsha bought 13 fish for
a total cost of $25.80, not including tax, how many of each type of fish did she buy?
a. 7 zebra fish, 6 neon tetras
c. 6 zebra fish, 7 neon tetras
b. 8 zebra fish, 5 neon tetras
d. 5 zebra fish, 8 neon tetras
____ 21. Solve
.
a. ( 1 , 15 )
2
2
b. This system has infinitely many solutions.
c. ( 1 , 17 )
2
2
d. This system has no solutions.
____ 22. Tell whether (8, 5) is a solution of
.
a. No, (8, 5) is not a solution of
.
b. Yes, (8, 5) is a solution of
.
____ 23. Graph the solutions of the linear inequality
y
a.
–10 –8
–6
–4
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
–4
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
y
–6
y
10
b.
–10 –8
.
c.
10
8
8
6
6
4
4
2
2
2
4
6
8
10
x
4
6
8
10
x
2
4
6
8
10
x
y
d.
10
–2
–2
2
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
CMP, TWMM
____ 24. What is true about the lines y = 7x – 10 and y = 7x + 10?
a. They intersect at one point.
c. They are really the same line.
b. They intersect at no points.
d. They are perpendicular lines.
Use the inverse relation y =
.
____ 25. What is the value of x when y is 150?
a. –4
b.
c. 4
d. 40
c. 900
d. 1200
c. 300
d. 30
____ 26. What is the value of y when x is 0.5?
a. 300
b. 600
____ 27. What is the value of x when y is –20?
a. –300
b. –30
CMP, GGG
____ 28. Write  using an exponent.
a.
b.
c.
d.
Algebra Multiple Choice Study Guide
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
B
C
A
B
D
C
D
C
C
D
A
B
C
D
B
D
A
A
C
A
D
A
C
B
C
D
B
D
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
DIF:
DIF:
DIF:
DIF:
DIF:
L2
L2
L2
L2
L1