Sample Questions: College Algebra

Learn more about the College Algebra exam.

The following College Algebra sample questions aren't used in actual CLEP exams and aren't presented here as they will be on the test. Use them to get a sense of question format and difficulty level.

Directions

An online scientific calculator will be available for the questions on this exam.

Some questions will require you to select from among five choices. For these questions, select the BEST of the choices given.

Some questions will require you to type a numerical answer in the box provided.

Some questions will require you to select one or more answer choices.

Questions

1. What is the remainder when the polynomial x to the power of 53 minus 12 x to the power of 40 minus 3 x to the power of 27 minus 5 x to the power of 21 plus x to the power of 10 minus 3 is divided by x plus 1?

A. –21
B. –7
C. –3
D. 4

2. Let ab and c be real numbers, where a not equal to 0. If the equation a x squared plus b x plus c equals 0 has two real solutions, which of the following statements could be true?

Indicate all such statements.

A. a greater than 0b greater than 0 and c less than 0
B. b equals plus-or-minus square root of a c end root
C. a c less than 0

3. The table shows some values of the functions f and g. Based on the table, what is the value of g left parenthesis f left parenthesis 2 right parenthesis right parenthesis?

 

x f open parentheses x close parentheses g open parentheses x close parentheses
0 9 1
1 2 5
2 1 2
3 3 8


A. 0
B. 3
C. 5
D. 8
E. 9

Answers

B, A and C, C



For more sample questions and information about the exam, download the College Algebra guide from the resources section below.

Resources