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College Preparatory Mathematics
Tyler Wallace, (HTML version is edited by Andras Balogh),
PDF version of this book.
Contents
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Contents
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Front Matter
Acknowledgements
0
Pre-Algebra
Integers
Fractions
Order of Operations
Properties of Algebra
1
Solving Linear Equations
One Step Equations
Two-Step Equations
General Linear Equations
Solving with Fractions
Formulas
Absolute Value Equations
Variation
Application: Number/Geometry
2
Graphing
Points and Lines
Slope
Slope-Intercept Form
Point-Slope Form
Parallel and Perpendicular Lines
3
Inequalities
Solve and Graph Inequalities
Compound Inequalities
Absolute Value Inequalities
4
Systems of Equations
Graphing
Substitution
Addition/Elimination
Three Variables
Value Problems
Mixture Problems
5
Polynomials
Exponent Properties
Negative Exponents
Scientific Notation
Introduction to Polynomials
Multiplying Polynomial
Multiply Special Products
Divide Polynomials
6
Factoring
Greatest Common Factor
Grouping
Trinomials where
\(a= 1\)
Trinomials where
\(a\neq 1\)
Factoring Special Products
Factoring Strategy
Solve by Factoring
7
Rational Expressions
Reduce Rational Expressions
Multiply and Divide
Least Common Denominators
Add and Subtract
Complex Fractions
Proportions
Solving Rational Equations
Dimensional Analysis
8
Radicals
Square Roots
Higher Roots
Adding Radicals
Multiply and Divide Radicals
Rationalize Denominators
Rational Exponents
Radicals of Mixed Index
Complex Numbers
9
Quadratics
Solving with Radicals
Solving with Exponents
Complete the Square
Quadratic Formula
Build Quadratics From Roots
Quadratic in Form
Quadratics - Rectangles
Quadratics - Teamwork
Quadratics - Graphs of Quadratics
10
Functions
Function Notation
Operations on Functions
Inverse Functions
Exponential Functions
Logarithmic Functions
Compound Interest
Back Matter
A
GNU Free Documentation License
Authored in PreTeXt
Chapter
7
Rational Expressions
7.1
Reduce Rational Expressions
7.2
Multiply and Divide
7.3
Least Common Denominators
7.4
Add and Subtract
7.5
Complex Fractions
7.6
Proportions
7.7
Solving Rational Equations
7.8
Dimensional Analysis