Introduction. Why You Need This Book.
How to Use This Book.
Hundreds of Practice Questions Online!
Chapter 1: Linear Sentences in One Variable.
Linear Equations.
Formulas.
Absolute Value Equations.
Linear Inequalities.
Compound Inequalities.
Absolute Value Inequalities.
Chapter 2: Segments, Lines, and Inequalities.
Rectangular Coordinate System.
Distance Formula.
Midpoint Formula.
Slope of a Line.
Slopes of Parallel and Perpendicular Lines.
Equations of Lines.
Graphs of Linear Inequalities.
Chapter 3: Linear Sentences in Two Variables.
Linear Equations: Solutions Using Graphing.
Linear Equations: Solutions Using Substitution.
Linear Equations: Solutions Using Elimination.
Linear Equations: Solutions Using Matrices.
Linear Equations: Solutions Using Determinants.
Linear Inequalities: Solutions Using Graphing.
Chapter 4: Linear Equations in Three Variables.
Linear Equations: Solutions Using Elimination.
Linear Equations: Solutions Using Matrices.
Linear Equations: Solutions Using Determinants.
Chapter 5: Polynomial Arithmetic.
Adding and Subtracting Polynomials.
Monomial, Binomial, and Trinomial.
Like Terms or Similar Terms.
Ascending and Descending Order.
Multiplying Polynomials.
Special Products of Binomials.
Dividing Polynomials.
Synthetic Division.
Chapter 6: Factoring Polynomials.
Greatest Common Factor.
Diff erence of Squares.
Sum or Diff erence of Cubes.
Trinomials of the Form x2 + bx + c.
Trinomials of the Form ax2 + bx + c.
Square Trinomials.
Factoring by Regrouping.
Summary of Factoring Techniques.
Solving Equations by Factoring.
Chapter 7: Rational Expressions.
Examples of Rational Expressions.
Simplifying Rational Expressions.
Multiplying Rational Expressions.
Dividing Rational Expressions.v
Adding and Subtracting Rational Expressions.
Complex Fractions.
Solving Rational Equations.
Proportion, Direct Variation, Inverse Variation, Joint Variation.
Proportion.
Direct variation.
Inverse variation.
Joint variation.
Graphing Rational Functions.
Chapter 8: Relations and Functions.
Basic Defi nitions.
Relation.
Domain and range.
Function.
Function Notation.
Compositions of Functions.
Algebra of Functions.
Inverse Functions.
Chapter 9: Polynomial Functions.
Polynomial Function.
Remainder Theorem.
Factor Theorem.
Zeros of a Function.
Rational Zero Theorem.
Graphing Polynomial Functions.
Chapter 10: Radicals and Complex Numbers.
Radicals.
Simplifying Radicals.
Adding and Subtracting Radical Expressions.
Multiplying Radical Expressions.
Dividing Radical Expressions.
Rationalizing the denominator.
Conjugates.
Rational Exponents.
Complex Numbers.
Chapter 11: Quadratics in One Variable.
Quadratic Equations.
Solving Quadratics by Factoring.
Solving Quadratics by the Square Root Property.
Solving Quadratics by Completing the Square.
Solving Quadratics by the Quadratic Formula.
Solving Equations in Quadratic Form.
Solving Radical Equations.
Solving Quadratic Inequalities.
Chapter 12: Conic Sections.
Th e Four Conic Sections.
Circle.
Parabola.
Ellipse.
Hyperbola.
Chapter 13: Quadratic Systems.
Systems of Equations Solved Algebraically.
Systems of Equations Solved Graphically.
Systems of Inequalities Solved Graphically.
Chapter 14: Exponential and Logarithmic Functions.
Exponential Functions.
Logarithmic Functions.
Properties of Logarithms.
Exponential and Logarithmic Equations.
Chapter 15: Sequences and Series.
Defi nition and Examples of Sequences.
Arithmetic Sequence.
Arithmetic Series.
Geometric Sequence.
Geometric Series.
Summation Notation.
Chapter 16: Additional Topics.
Factorials.
Binomial Coefficients and the Binomial Theorem.
Permutations.
Combinations.
Chapter 17: Word Problems.
General Strategy.
Simple Interest.
Compound Interest.
Mixture.
Motion.
Work.
Arithmetic/Geometric Series.
Review Questions.
The Resource Center.
Books.
Internet.
Glossary.
Index.