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.
  • Transferred over 8,300 times.
  • 92% of students pass in their first try.
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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 2021

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

Perform operations on real numbers and polynomials.

Simplify algebraic, rational, and radical expressions.

Solve both linear and quadratic equations and inequalities.

Solve word problems involving linear and quadratic equations and inequalities.

Solve polynomial, rational, and radical equations and applications.

Solve and graph linear, quadratic, absolute value, and piecewise-defined functions.

Perform operations with functions as well as find composition and inverse functions.

Graph quadratic, square root, cubic, and cube root functions.

Graph and find zeroes of polynomial functions.

Perform vertical and horizontal shifts and reflections of a basic graph.

Perform stretches and compressions on a basic graph.

Transform the graph of a general function.

Graph quadratic functions by completing the square, using the vertex formula, and using transformations.

Solve and graph exponential and logarithmic equations.

Solve systems of linear equations and inequalities.

Model and solve applications using linear systems.

Evaluate and find partial sums of a series.

Evaluate and find sums of arithmetic and geometric sequences.

Solve application problems involving arithmetic and geometric sequences and series.

Solve applications involving the various types of equations and inequalities.

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Course Details

MAT101

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College Algebra

Lean to perform operations on real numbers and polynomials and simplify algebraic, rational, and radical expressions. Aspects like arithmetic and geometric sequences are examined, and linear equations and inequalities are also discussed.

Prerequisites

There are no prerequisites to take College Algebra though we highly recommend concurrent enrollment in Introductory Algebra.

Topic Subtopics
Geometry and Measurement
  • Construction and Measurement of Geometric Solids
Basic Algebraic Operations
  • Real Numbers and Polynomials
  • Rational Expressions
  • Rational Exponents and Radicals
PLinear Equations and Inequalities in One Variable
  • Linear Equations and Applications
  • Linear Inequalities and Applications
  • Absolute Value in Equations and Inequalities
Quadratic Equations
  • Factoring and Solving Quadratic Equations using Factoring
  • Completing the Square
  • Quadratic Formula and Applications of the Quadratic Equations
Polynomial and Other Equations
  • Polynomial Equations and Applications
  • Equations Involving Radicals and Rational Exponents
  • Complex Numbers
Functions and Graphs
  • Rectangular Coordinates and the Graph of a Line
Operations and Functions
  • The Algebra and Composition Functions
  • One-to-One and Inverse Functions
Analyzing Graphs
  • Piecewise-Defined Functions
  • Graphs and Symmetry Transformations
Graphing Polynomial Functions
  • Graphing General Quadratic Functions
  • Graphing Polynomial Functions
  • Applications of Polynomial Functions
Graphing Rational Functions
  • Asymptotes and Rational Functions
  • Graphing Rational Functions
  • Applications of Rational Functions
Exponential and Logarithmic Functions
  • Exponential Functions
  • Logarithms and Logarithmic Functions
  • The Exponential Function and Natural Logarithm
Exponential and Logarithmic Equations
  • Exponential Equations
  • Logarithmic Equations
  • Applications of Exponential and Logarithmic Equations
Systems of Linear Equations in Two Variables
  • Solving Systems Graphically and by Substitution
  • Solving Systems using Elimination
  • Applications of Linear Systems
Solving Linear Systems Using Augmented Matrices
  • Matrices
  • Solving Linear Systems using Matrix Equations
  • More Applications of Linear Systems
Sequences and Series
  • Sequences and Series
  • Arithmetic Sequences
  • Geometric Sequences

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 Final


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

Miller, Julie, and Donna Gerken. College Algebra, 2nd edition, McGraw-Hill, 2017, ISBN: 9780077836344


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