College Algebra

Course is recommended for college credit by the American Council on Education's Credit Recommendation Service (ACE CREDIT)



College Algebra
Course is recommended for college credit by the American Council on Education's Credit Recommendation Service (ACE CREDIT)

Earn Algebra College Credits On Your Schedule. This course will introduce you to the study of College Algebra. Conclusion of this course will give you the confidence to sit and pass your final exam for college credit.

College Algebra provides a working foundation in the use of algebraic operations, theories, and principles. After a brief review of foundational concepts including real numbers, exponents and radical expressions, rational expressions and polynomials, College Algebra prepares students to:

  • Evaluate linear equations and inequalities, compound inequalities, absolute value equations and inequalities;
  • Solve quadratic equations by factoring, completing the square, and using the quadratic formula;
  • Plot points and equations, and interpret information presented graphically;
  • Identify evaluate functions and relations, and graph functions using transformations;
  • Evaluate and graph quadratic, inverse, and piece-wise functions;
  • Evaluate and graph polynomial and rational functions;
  • Evaluate and graph logarithmic and exponential functions;
  • Classify and solve systems of equations and inequalities; and
  • Evaluate arithmetic and geometric sequences and series.

Each of the ten units include sections specifically devoted to modeling and solving real-world problems. Activities that model real-world situations are also included in every section to help students apply content throughout the course.

College Algebra
Sample Syllabus Sections 1 & 2


1.1 Prerequisites - An introduction to College Algebra

1.2 Introduction to Mathematical Models - A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling.

1.3 Real Numbers - In mathematics, a real number is a value that represents a quantity along a continuous line.

1.4 Properties of the Real Number System - Learn and define Cummulative, Associative, Distributive, Density and Identity properties.

1.5 Multiplication and Division of Real Numbers - The third and forth operation of arithmetic applied to Real Numbers.

1.6 Addition and Subtraction of Real Numbers - The first and second operation of arithmetic applied to Real Numbers.

1.7 The Real Number Line and Order - The real line, or real number line is the line whose points are the real numbers.

1.8 Interval and Set Notation - All the numbers between two given numbers and correct notation.

1.9 Using a Scientific Calculator - Know how to use the your calculator with confidence.

1.10 Exponents - A small number to the right defining how many times to use the number in multiplication.

1.11 Scientific Notation - A way of writing numbers that are too big or too small to be conveniently written in decimal form.

1.12 Radical Expressions - Any mathematical expression containing a radical symbol .

1.13 Rational Exponents - A rational exponent represents both an integer exponent and an nth root.

1.14 Polynomials - An expression that can have constants, variables and exponents, but have defining characteristics.

1.15 Factoring with Greatest Common Factors and Grouping - Finding what to multiply to get an expression.

1.16 Factoring Binomials and Trinomials - Factoring a polynomial is the opposite process of multiplying polynomials.

1.17 Rational Expressions - The diviision or ratio ot two polynomials.

1.18 More Operations with Rational Expressions - Constants, variables, and algebraic operations, and more...


2.1 Equations and Inequalities - More than one operation, steps to solve a true statement.

2.2 Linear Equations - An equation for a straight line.

2.3 Linear Equations with Many or No Solutions - Underdetermined or overdetermined systems of linear equations.

2.4 Working with Mathematical Models - Simulating real-life situations with mathematical operations.

2.5 Modeling with Linear Equations - Take real world applications and describe them using Linear Equations.

2.6 Mixture Problems - Real world problems of items with different quantities and values mixed together.

2.7 Power Equations - Exponential Expressions with power values.

2.8 Power Equations with Fractional Powers - Exponential Expressions with fractional power values.

2.9 Modeling with Power Equations - Real world applications or solvingfor power equations.

2.10 Manipulating Formulas - Manipulation equtions and formulas for solving.

2.11 Linear Inequalities - An inequality which involves a linear function.

2.12 Compound Inequalities - A compound inequality is a combination of two or more inequalities joined by either an 'and' or an 'or.

2.13 Applications of Linear Inequalities - Real world applications of solving for linear inequalities.

2.14 Absolute Value Equations - Equations with the absolute value of a complex number.

2.15 Absolute Value Inequalities - Solving for inequalties in absolute value.

2.16 Proportions - Equivalent ratios and fraction.

2.17 Modeling with Proportions - Real world applications of equivalent ratios.

2.18 Variations - Direct or inverse relationships between two variables.


3.1 This course contains 7 more units, providing learning concepts and practice activities on: - Equations and Inequalities, Coordinates and Graphs, Quadratic Functions, Polynomial and Rational Functions, Exponential and Logarithmic Functions, Systems of Equations and Inequalities, Sequences, Series, and the Binomial Theorem

Sample Questions
Test Your Current Knowledge of College Algebra

Guide with Sample Questions

The following sample questions do not appear on an actual examination. These questions are intended to give test-takers an indication of the format and idea of what to study!

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Credit-by-Exam Prep Course

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Practice Test

Buy our College Algebra practice exam with over 300 questions to test your knowledge and prepare yourself for the CLEP exam.


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Example Lecture Videos

Language of Algebra

Algebraic Expressions

Operators in Algebra

Algebraic Phrasing

Creating An Algebraic Model

Developing An Equation