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Study Guides

College Algebra: Co-requisite Course

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Module 0: Review of Fractions, Percents, and More

Equations and Inequalities with Absolute Value
Why review topics from earlier math classes?
Linear Inequalities and Systems of Linear Inequalities in Two Variables
Fractions Review
Transformations of Functions
Real Numbers Review

Module 5: Polynomial and Rational Functions

Order of Operations Review
Why learn about polynomials?
Percent Review
Polynomial Functions
Algebraic Expressions Review
Polynomial Equations

Module 1: Polynomials and Factoring

Rational Expressions and Functions
Why solve linear equations and inequalities?
Rational Equations
Solving Linear Equations
Applications of Rational Equations
Exponent Rules

Module 6: Inverse, Exponential, and Logarithmic Functions

Algebraic Operations on Polynomials
Why learn about exponential and logarithmic functions?
Division of Polynomials
Composite and Inverse Functions
Factoring Trinomials
Exponential Functions
Factoring Special Cases
Logarithmic Functions

Module 2: Radicals and Inequalities

Exponential Equations*
Why learn about roots and rational exponents?
Logarithmic Equations*
Algebraic Operations with Radical Expressions
Exponential Growth and Decay*
Radical Equations

Module 7: Solving Systems of Equations

Imaginary and Complex Numbers
Why solve systems with matrices?*
Interval and Set-Builder Notation
Linear Systems in Two Variables
Coordinate Plane and Graphing Equations
Matrices and Matrix Operations*
Linear Inequalities in One Variable
Systems of Linear Equations: Gaussian Elimination*
Compound Inequalities
Solve Systems with Inverses of Matrices*

Module 3: Relations and Functions

Module 8: Conics

Why learn about functions and function notation?
Why It Matters: Conic Sections*
Domain and Range
The Ellipse*
Function Notation
The Hyperbola*
Graphs of Functions
The Parabola*
Algebra of Functions

Module 9: Sequences and the Binomial Theorem

Linear Functions and their Graphs
Why It Matters: Sequences and Series*
Equations of Linear Functions
Sequences and Their Notations*

Module 4: Quadratic Equations and Functions

Arithmetic Sequences*
Why learn about quadratic equations?
Geometric Sequences*
Quadratic Equations
Series and Their Notations*
Quadratic Functions and their Graphs
Counting Principles*