Ebook: Beginning and Intermediate Algebra

An open-source textbook, 2010. — 489 p.Pre-Algebra.
Integers.
Fractions.
Order of Operations.
Properties of Algebra.
Solving Linear Equations.
One-Step Equations.
Two-Step Equations.
General Linear Equations.
Solving with Fractions.
Formulas.
Absolute Value Equations.
Variation.
Application: Number/Geometry.
Application: Age.
Application: Distance.
Graphing.
Points and Lines.
Slope.
Slope-Intercept Form.
Point-Slope Form.
Parallel & Perpendicular Lines.
Inequalities.
Solve and Graph Inequalities.
Compound Inequalitites.
Absolute Value Inequalities.
Systems of Equations.
Graphing.
Substitution.
Addition/Elimination.
Three Variables.
Application: Value Problems.
Application: Mixture Problems.
Polynomials.
Exponent Properties.
Negative Exponents.
Scientific Notation.
Introduction to Polynomials.
Multiply Polynomials.
Multiply Special Products.
Divide Polynomials.
Factoring.
Greatest Common Factor.
Grouping.
Trinomials where a =.
Trinomials where a.
Factoring Special Products.
Factoring Strategy.
Solve by Factoring.
Rational Expressions.
Reduce Rational Expressions.
Multiply and Divide.
Least Common Denominator.
Add and Subtract.
Complex Fractions.
Proportions.
Solving Rational Equations.
Application: Dimensional Analysis.
Radicals.
Square Roots.
Higher Roots.
Adding Radicals.
Multiply and Divide Radicals.
Rationalize Denominators.
Rational Exponents.
Radicals of Mixed Index.
Complex Numbers.
Quadratics.
Solving with Radicals.
Solving with Exponents.
Complete the Square.
Quadratic Formula.
Build Quadratics From Roots.
Quadratic in Form.
Application: Rectangles.
Application: Teamwork.
Simultaneous Products.
Application: Revenue and Distance.
Graphs of Quadratics.
Functions.
Function Notation.
Operations on Functions.
Inverse Functions.
Exponential Functions.
Logarithmic Functions.
Application: Compound Interest.
Trigonometric Functions.
Inverse Trigonometric Functions.
Answers.