College Algebra

Gain an understanding of college-level algebra with this course that emphasizes the solution and the application of linear and quadratic equations, word problems, polynomials, and rational and radical equations.

What you’ll learn

  • Students can complete in as little as 30 days.
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College Algebra

$79

Plus membership

3 Credits

All courses include:

eTextbooks

2 to 3-day turnaround for grading

Multiple chances to improve your grade

On-demand tutoring & writing center

Student support 7 days a week

$79

Plus membership

3 Credits

All courses include:

eTextbooks

2 to 3-day turnaround for grading

Multiple chances to improve your grade

On-demand tutoring & writing center

Student support 7 days a week

College Algebra

$79

Plus membership

3 Credits

About This Course

|
ACE Approved 2024

College Algebra provides a working knowledge of college-level algebra and its applications with an emphasis on the solution and application of linear and quadratic equations, word problems, polynomials, and rational and radical equations.

What You'll Learn

Use properties of real numbers and perform the operation to simplify algebraic, radical, and rational expressions, scientific notations, nth roots, and factoring the polynomial.

Solve linear equations and inequalities in one and two variables.

Solve systems of linear equations using graphical, substitution and elimination methods.

Solve quadratic equations using methods of factoring, completing the square, the quadratic formula, and graphing.

Solve equations involving polynomials, radicals, and rational exponents.

Use algebraic methods to find the domain, range, and inverse of functions, and perform transformations on basic graphs.

Sketch graphs of rational functions and polynomial functions.

Solve and graph exponential and logarithmic functions.

Solve problems involving arithmetic and geometric sequences and series.

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Course Details

MAT101

|

College Algebra

This course is designed to lay the foundation for mathematical understanding, intended for students who wish to build their proficiency in algebra and further their understanding of mathematics. It includes a wide range of topics such as the properties of real numbers, equations and inequalities, polynomials and exponents, and functions and their graphs. Students will also delve into more complex concepts like systems of equations, quadratic equations, sequences and series, and exponential and logarithmic functions.

Prerequisites

It is suggested, though not required, that students take Introductory Algebra or its equivalent before enrolling in College Algebra.

Topic Subtopics
Introduction to Algebra
  • Real Numbers and Their Properties
  • Exponents and Scientific Notation
  • Radicals and Rational Exponents
  • Introduction to Polynomials
  • Factoring Polynomials
  • Rational Expressions
Linear Equations and Inequalities
  • Rectangular Coordinate System
  • Solving Linear Equations and Linear Inequalities in One Variable
  • Absolute Value in Equations and Inequalities in One Variable
  • Graphing Linear Equations and Inequalities
  • Applications of Linear Equations and Inequalities in One and Two Variables
Systems of Linear Equations in Two Variables
  • Solving Systems of Linear Equations Graphically
  • Solving Systems of Linear Equations by Substitution Method
  • Solving Systems of Linear Equations by Elimination Method
  • Applications of Systems of Linear Equations
Quadratic Equations
  • Complex Numbers
  • Solve Quadratic Equations Using Factoring
  • Solve Quadratic Equations Using Completing the Square
  • Solve Quadratic Equations Using Quadratic Formula
  • Solve Quadratic Equations by Graphing
  • Applications of the Quadratic Equations
Polynomials and other Equations
  • Addition and Subtraction of Polynomials
  • Multiplication and Division of Polynomials
  • Solving Polynomial Equations
  • Equations with Radical and Rational Exponents
Functions and Graphs
  • Domain and Range
  • Composite Functions
  • Inverse Functions
  • Graphs and Symmetry
  • Transformation
Graphing Various Functions
  • Graphing Polynomial Functions
  • Asymptotes and Rational Functions
  • Graphing Rational Functions
  • Application of Rational and Polynomial Functions
Exponential and Logarithmic Functions
  • Exponential Functions and Graphs
  • Logarithmic Functions and Graphs
  • Exponential and Logarithmic Properties
  • Exponential and Logarithmic Equations
  • Application of Exponential and Logarithmic Equations
Technology in Today's Information Age
  • Sequences and Series Introduction
  • Arithmetic Sequences and Series
  • Geometric Sequences and Series

Your score provides a percentage score and letter grade for each course. A passing percentage is 70% or higher.

Assignments for this course include:

  • 4 Graded Exams
  • 1 Graded Midterm
  • 1 Graded Final


The required eTextbook for this course is included with your course purchase at no additional cost.


Jay Abramson, College Algebra, 2nd edition, OpenStax, 2021. Digital ISBN 978-1-951693-41-1

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