Table of Contents
Pre-calculus 11 Table of Contents
CHAPTER 1 Roots and Powers NEW
1.1 Square Roots and Cube Roots of Fractions
1.2 The Real Number System
1.3 Mixed and Entire Radicals
Checkpoint
1.4 Powers with Positive Rational Exponents
1.5 Powers with Negative Rational Exponents
1.6 Exponent Laws and Order of Operations
Study Guide
Review
Practice Test
CHAPTER 2 Radical Operations and Equations
2.1 Simplifying Radical Expressions
2.2 Adding and Subtracting Radical Expressions
Checkpoint 1
2.3 Multiplying and Dividing Radical Expressions
2.4 Solving Radical Equations Graphically
Checkpoint 2
2.5 Solving Radical Equations Algebraically NEW
Study Guide
Review
Practice Test
Cumulative Review Chapters 1-2
CHAPTER 3 Solving Quadratic Equations
3.1 Factoring Trinomials of the Form ax2 + bx + c NEW
3.2 Factoring Polynomial Expressions
Checkpoint 1
3.3 Solving Quadratic Equations by Factoring
3.4 Using Square Roots to Solve Quadratic Equations
Checkpoint 2
3.5 Developing and Applying the Quadratic Formula
3.6 Interpreting the Discriminant
Study Guide
Review
Practice Test
CHAPTER 4 Analyzing Quadratic Functions and Inequalities
4.1 Properties of a Quadratic Function
4.2 Math Lab: Solving a Quadratic Equation Graphically
4.3 Math Lab: Transforming the Graph of
y = x2
Checkpoint 1
4.4 Analyzing Quadratic Functions of the Form y = a(x – p)2 + q
4.5 Equivalent Forms of the Equation of a Quadratic Function
4.6 Analyzing Quadratic Functions of the Form y = ax2 + bx + c
Checkpoint 2
4.7 Modelling and Solving Problems with Quadratic Functions
4.8 Solving Linear and Quadratic Inequalities Graphically NEW
4.9 Solving Linear and Quadratic Inequalities Algebraically NEW
Study Guide
Review
Practice Test
Cumulative Review Chapters 1-4
CHAPTER 5 Trigonometry
5.1 Angles in Standard Position in Quadrants
5.2 Angles in Standard Position in All Quadrants
5.3 Coterminal Angles
Checkpoint
5.4 Math Lab: Constructing Triangles
5.5 The Sine Law
5.6 The Cosine Law
Study Guide
Review
Practice Test
CHAPTER 6 Rational Expressions and Equations
6.1 Equivalent Rational Expressions
6.2 Multiplying and Dividing Rational Expressions
Checkpoint 1
6.3 Adding and Subtracting Rational Expressions with Monomial Denominators
6.4 Adding and Subtracting Rational Expressions with Binomial and Trinomial Denominators
Checkpoint 2
6.5 Solving Rational Equations
6.6 Applications of Rational Equations
Study Guide
Review
Practice Test
CHAPTER 7 Financial Literacy NEW
7.1 Simple Interest
7.2 Compound Interest
Checkpoint
7.3 Math Lab: Comparing Simple Interest and Compound Interest
7.4 Annuities: Investments and Loans
7.5 Project: Buying or Leasing a Vehicle; Owning or Renting a Home
Study Guide
Review
Practice Test
Cumulative Review Chapters 1-7
Pre-calculus 12 Table of Contents
CHAPTER 1 Polynomial Expressions and Functions
1.1 Dividing a Polynomial by a Binomial
1.2 Factoring Polynomials
Checkpoint
1.3 Math Lab: Graphing Polynomial Functions
1.4 Relating Polynomial Functions and Equations
1.5 Solving Polynomial Equations Algebraically and Graphically
Study Guide
Review
Practice Test
CHAPTER 2 Absolute Value and Reciprocal Functions NEW
2.1 Absolute Value Functions
2.2 Graphing Reciprocals of Linear Functions
Checkpoint
2.3 Math Lab: Using Technology to Graph Reciprocals of Quadratic Functions
2.4 Graphing Reciprocals of Quadratic Functions
Study Guide
Review
Practice Test
CHAPTER 3 Rational Functions
3. 1 Math Lab: Graphing Rational Functions
3.2 Analyzing Rational Functions
Checkpoint
3.3 Sketching Graphs of Rational Functions
Study Guide
Review
Practice Test
Cumulative Review Chapters 1-3
CHAPTER 4 Transforming Graphs of Functions
4.1 Translating Graphs of Functions
4.2 Reflecting Graphs of Functions
4.3 Stretching and Compressing Graphs of Functions
Checkpoint
4.4 Combining Transformations of Functions
4.5 Inverse Relations
Study Guide
Review
Practice Test
CHAPTER 5 Combining Functions
5.1 Math Lab: Combining Functions Graphically
5.2 Combining Functions Algebraically
Checkpoint
5.3 Introduction to Composite Functions
5.4 Determining Restrictions on Composite Functions
Study Guide
Review
Practice Test
CHAPTER 6 Geometric Sequences and Series
6.1 Geometric Sequences
6.2 Geometric Series
Checkpoint
6.3 Math Lab: Graphing Geometric Sequences and Series
6.4 Infinite Geometric Series
Study Guide
Review
Practice Test
CHAPTER 7 Exponential and Logarithmic Functions
7.1 Math Lab: Graphing Exponential Functions
7.2 Analyzing and Transforming Exponential Functions
7.3 Solving Exponential Equations
Checkpoint 1
7.4 Logarithms and the Logarithmic Function
7.5 The Laws of Logarithms
7.6 Analyzing and Transforming Logarithmic Functions
Checkpoint 2
7.7 Solving Logarithmic and Exponential Equations
7.8 Solving Problems with Exponents and Logarithms
7.9 Natural Logarithms and Related Exponential Functions NEW
Study Guide
Review
Practice Test
Cumulative Review Chapters 1-7
CHAPTER 8 Trigonometry
8.1 The Unit Circle and Reciprocal Trigonometric Ratios
8.2 Math Lab: Angles in Standard Position and Arc Length
8.3 Radian Measure
Checkpoint
8.4 Math Lab: Graphing Trigonometric Functions
8.5 Trigonometric Functions
8.6 Combining Transformations of Sinusoidal Functions
8.7 Applications of Sinusoidal Functions
Study Guide
Review
Practice Test
CHAPTER 9 Trigonometric Equations and Identities
9.1 Solving Trigonometric Equations Graphically
9.2 Solving Trigonometric Equations Algebraically
Checkpoint
9.3 Reciprocal and Quotient Identities
9.4 The Pythagorean Identities
9.5 Sum and Difference Identities
9.6 Double-Angle Identities
Study Guide
Review
Practice Test
CHAPTER 10 Conics NEW
10.1 Math Lab: What Are Conics?
10.2 Math Lab: The Circle
10.3 The Ellipse
Checkpoint
10.4 The Hyperbola
10.5 The Parabola
Study Guide
Review
Practice Test
Cumulative Review Chapter 1-10