College Algebra Test Template

SANTA BARBARA CITY COLLEGE
TEST #3 – SAMPLE QUESTIONS
This test will assess your intermediate algebra skills for placement into MATHEMATICS FOR LIBERAL ARTS
MAJORS (Math 114), STATISTICS/BEHAVIORAL SCIENCES (Psych 150), ELEMENTARY STATISTICS
(Math 117), COLLEGE ALGEBRA (Math 120), CALCULUS FOR BUSINESS, BIOLOGICAL AND SOCIAL
SCIENCES (Math 130), and PRE-CALCULUS I (Math 137). Eligibility for these courses will be based on scores
achieved on the 45-minute, 45-item Intermediate Algebra Test.
More extensive study packets are available at the Campus Bookstore.
PLEASE NOTE: CALCULATORS ARE NOT ALLOWED AT ASSESSMENT TESTING. IT IS BEST
TO STUDY WITHOUT THE AID OF A CALCULATOR.
Elementary operations
2
x
3 2
x
3 4
x
1.
x 
2
8
9
8
x
3
9 16x
12
x
24
x
9
(A)
(B)
(C)
(D)
Rational expressions

2
2
2
2
x
2
x
2
x
4
x
2
x
4
x
x
4
4x
2.
(A)
(B)
(C)
(D)
2
2
3
x
4
x
x
x
x
4
x
6
a
2
x x
5
4
a
2
6
10a
x
x
x
x
3.
(A)
(B)
(C)
(D)
2
a
x
4 12 
3
3
3
3
6
3
2 2
4 3
2 6
48
4.
(A)
(B)
(C)
(D)
Linear equations and inequalities
 
2
x y
8
y 
3
5
2
. y
5. If
, then
(A)
(B)
(C)
(D) There are no solutions for
 
x y
1
 
2
y
2
y
3 0
6.
The solutions to
are:
i 
1 
1
2
3
2 2i
1 2 2
(A)
(B)
and
(C)
(D)
Graphing and the coordinate plane
2
x
3
y
6
7.
Which of the following could be part of the graph of
?
(A)
(B)
(C)
(D)
Logarithms and functions
2
x
5
7
14
f  
f x
( )
( 3)
1
7
8.
If
, then
(A)
(B)
(C)
(D)
x
1
2
3
x 
3
log ( ) 3
2
6
8
9
x =
9.
If
, then
(A)
(B)
(C)
(D)
2
Word problems
2
1
4
10. If
is
of
of a certain number, then that number is
3
2
5
15
5
5
5
(A)
(B)
(C)
(D)
4
3
6
12
:
(1) C
(2) D
(3) B
(4) B
(5) C
(6) A
(7) B
(8) A
(9) C
(10) B