## College Algebra

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The College Algebra exam covers material that is usually taught in a one-semester college course in algebra.

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**2019 CLEP Official Study Guide**

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This study guide provides practice questions for all 33 CLEP® exams. The ideal resource for taking more than one exam. Offered only by the College Board.

**CLEP® College Algebra Examination Guide**

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The College Algebra exam covers material that is usually taught in a one-semester college course in algebra.

### Try Free College Algebra Sample Questions

Answer sample questions to get a sense of the format and difficulty level of the College Algebra exam.

## Overview

The College Algebra exam covers material that's usually taught in a one-semester college course in algebra. Nearly half the test is made up of routine problems requiring basic algebraic skills; the remainder involves solving nonroutine problems in which test takers must demonstrate their understanding of concepts. The test includes questions on basic algebraic operations; linear and quadratic equations, inequalities, and graphs; algebraic, exponential, and logarithmic functions; and miscellaneous other topics.

It's assumed that test takers are familiar with currently taught algebraic vocabulary, symbols, and notation. The test places little emphasis on arithmetic calculations. However, an online scientific calculator (nongraphing) will be available during the exam.

The exam contains approximately 60 questions to be answered in 90 minutes. Some of these are pretest questions that won't be scored. Any time that test takers spend on tutorials and providing personal information is in addition to the actual testing time.

#### Scientific Calculator

A scientific (nongraphing) calculator, the TI-30XS MultiView™, is integrated into the exam software and available to students during the entire testing time. Students are expected to know how and when to make appropriate use of the calculator. Visit ETS to learn more and to practice using the scientific calculator.

## Knowledge and Skills Required

Questions on the College Algebra exam require test takers to demonstrate the following abilities in the approximate proportions indicated.

- Solving routine, straightforward problems (about 50% of the exam)
- Solving nonroutine problems requiring an understanding of concepts and the application of skills and concepts (about 50% of the exam)

The subject matter of the College Algebra exam is drawn from the following topics. The percentages in parentheses indicate the approximate percentage of exam questions on that topic.

Get more information about the scientific calculator and download a trial version.

Students will find the online scientific calculator helpful in performing calculations (e.g., arithmetic, exponents, roots, logarithms).

#### Algebraic operations (25%)

- Operations with exponents
- Factoring and expanding polynomials
- Operations with algebraic expressions
- Absolute value
- Properties of logarithms

#### Equations and inequalities (25%)

- Linear equations and inequalities
- Quadratic equations and inequalities
- Absolute value equations and inequalities
- Systems of equations and inequalities
- Exponential and logarithmic equations

#### Functions and their properties* (30%)

- Definition, interpretation, and representation/modeling (graphical, numerical, symbolic, and verbal)
- Domain and range
- Evaluation of functions
- Algebra of functions
- Graphs and their properties (including intercepts, symmetry, and transformations)
- Inverse functions

#### Number systems and operations (20%)

- Real numbers
- Complex numbers
- Sequences and series
- Factorials and binomial theorem

*Each test may contain a variety of functions, including linear, polynomial (degree ≤ 5), rational, absolute value, power, exponential, logarithmic, and piecewise-defined.

## Study Resources

Most textbooks used in college-level algebra courses cover the topics in the outline given earlier, but the approaches to certain topics and the emphases given to them may differ. To prepare for the College Algebra exam, it's advisable to study one or more college textbooks, which can be found in most college bookstores. When selecting a textbook, check the table of contents against the knowledge and skills this test requires.

**Textbooks**

*A survey conducted by CLEP found that the following textbooks are among those used by college faculty who teach the equivalent course. You can purchase one or more of these online or at your local college bookstore.*

- Aufmann et al.,
*Algebra: Introductory and Intermediate*(Cengage) - Barnett et al.,
*College Algebra*(McGraw-Hill) - Barnett et al.,
*College Algebra: Graphs and Models*(McGraw-Hill) - Beecher, Penna, and Bittinger,
*College Algebra*(Addison-Wesley) - Blitzer,
*College Algebra Essentials*(Prentice Hall) - Dugopolski,
*College Algebra and Trigonometry*(Addison-Wesley) - Gustafson and Frisk,
*College Algebra: Essentials*(Brooks/Cole) - Huettenmueller,
*College Algebra Demystified*(McGraw-Hill) - Larson and Hostetler,
*College Algebra*(Brooks/Cole) - Lial et al.,
*College Algebra*(Addison-Wesley) - Ratti and McWaters,
*College Algebra*(Addison-Wesley) - Rockswold,
*College Algebra Through Modeling and Visualization*(Addison-Wesley) - Stewart et al.,
*College Algebra*(Brooks/Cole) - Sullivan,
*College Algebra Essentials*(Prentice Hall) - Young,
*College Algebra*(Wiley)

### Online Resources

*These resources, compiled by the CLEP test development committee and staff members, may help you study for your exam. However, none of these sources are designed specifically to provide preparation for a CLEP exam. The College Board has no control over their content and cannot vouch for their accuracy.*

- Armstrong Atlantic State University: College Algebra Tutorial
- West Texas A&M University: Virtual Math Lab
- Khan Academy Algebra
- Practice and learn Algebra 1 on inteo.com
- Free online CLEP course by Modern States Education Alliance

## Score Information

#### Credit-Granting Score for College Algebra

ACE Recommended Score*: 50

Semester Hours: 3

Each institution reserves the right to set its own credit-granting policy, which may differ from that of ACE. Contact your college as soon as possible to find out the score it requires to grant credit, the number of credit hours granted, and the course(s) that can be bypassed with a satisfactory score.

*The American Council on Education’s College Credit Recommendation Service (ACE CREDIT) has evaluated CLEP processes and procedures for developing, administering, and scoring the exams. The score listed above is equivalent to a grade of C in the corresponding course. The American Council on Education, the major coordinating body for the nation’s higher education institutions, seeks to provide leadership and a unifying voice on key higher education issues and to influence public policy through advocacy, research, and program initiatives. Visit the ACE CREDIT website for more information.