Math 99 Intermediate Algebra with Geometry |

Blue: Covered in Math 98 (Beginning Algebra) Red: Covered in Math 99 (Intermediate Algebra) Black: will not be covered Chapter R - Reference R.1 Study Tips R.2 Fractions R.3 Introduction to Geometry Chapter 1 The Set of Real Numbers 1.1 Sets of Numbers and the Real Number Line 1.2 Order of Operations 1.3 Addition of Real Numbers 1.4 Subtraction of Real Numbers 1.5 Multiplication and Division of Real Numbers 1.6 Properties of Real Numbers and Simplifying Expressions Chapter 2 Linear Equations and Inequalities 2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality 2.2 Solving Linear Equations 2.3 Linear Equations: Clearing Fractions and Decimals 2.4 Applications of Linear Equations: Introduction to Problem Solving 2.5 Applications Involving Percents 2.6 Formulas and Applications of Geometry 2.7 Linear Inequalities Chapter 3 Graphing Linear Equations in Two Variables 3.1 Rectangular Coordinate System 3.2 Linear Equations in Two Variables 3.3 Slope of a Line 3.4 Slope-Intercept Form of a Line 3.5 Point-Slope Formula 3.6 Applications of Linear Equations Chapter 4 Systems of Linear Equations in Two Variables 4.1 Solving Systems of Equations by the Graphing Method 4.2 Solving Systems of Equations by the Substitution Method 4.3 Solving Systems of Equations by the Addition Method 4.4 Applications of Linear Equations in Two Variables Chapter 5 Polynomials and Properties of Exponents 5.1 Exponents: Multiplying and Dividing Common Bases 5.2 More Properties of Exponents 5.3 Definitions of b^{0} and b^{-n} 5.4 Scientific Notation 5.5 Addition and Subtraction of Polynomials 5.6 Multiplication of Polynomials 5.7 Division of Polynomials Chapter 6 Factoring Polynomials 6.1 Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials of the Form x^{2} + bx + c - (Optional) 6.3 Factoring Trinomials: Trial-and-Error Method 6.4 Factoring Trinomials: AC-Method 6.5 Factoring Binomials 6.6 General Factoring Summary 6.7 Solving Equations Using the Zero Product Rule Chapter 7 Rational Expressions 7.1 Introduction to Rational Expressions 7.2 Multiplication and Division of Rational Expressions 7.3 Least Common Denominator 7.4 Addition and Subtraction of Rational Expressions 7.5 Complex Fractions 7.6 Rational Equations 7.7 Applications of Rational Equations and Proportions Chapter 8 Introduction to Relations and Functions 8.1 Introduction to Relations 8.2 Introduction to Functions 8.3 Graphs of Functions 8.4 Variation Chapter 9 Linear Systems of Linear Equations in Three Variables 9.1 Systems of Linear Equations in Three Variables 9.2 Applications of Systems of Linear Equations in Three Variables 9.3 Solving Systems of Linear Equations by Using Matrices 9.4 Determinants and Cramers Rule Chapter 10 More Equations and Inequalities 10.1 Compound Inequalities 10.2 Polynomial and Rational Inequalities 10.3 Absolute Value Equations 10.4 Absolute Value Inequalities 10.5 Linear Inequalities in Two Variables Chapter 11 Radicals and Complex Numbers 11.1 Definition of an nth Root 11.2 Rational Exponents 11.3 Simplifying Radical Expressions 11.4 Addition and Subtraction of Radicals 11.5 Multiplication of Radicals 11.6 Rationalization 11.7 Radical Equations 11.8 Complex Numbers Chapter 12 Quadratic Equations and Functions 12.1 Square Root Property and Completing the Square 12.2 Quadratic Formula 12.3 Equations in Quadratic Form 12.4 Graphs of Quadratic Functions 12.5 Vertex of a Parabola and Applications Chapter 13 Exponential and Logarithmic Functions 13.1 Algebra and Composition of Functions 13.2 Inverse Functions 13.3 Exponential Functions 13.4 Logarithmic Functions 13.5 Properties of Logarithms 13.6 The Irrational Number e 13.7 Logarithmic and Exponential Equations Chapter 14 Conic Sections and Nonlinear Systems 14.1 Distance Formula and Circles 14.2 More on the Parabola 14.3 The Ellipse and Hyperbola 14.4 Nonlinear Systems of Equations in Two Variables 14.5 Nonlinear Inequalities and Systems of Inequalities |