# High School Books

## PreCalculus

**Don't be perplexed by precalculus. Master this math with practice, practice, practice!**

*Practice Makes Perfect: Precalculus* is a comprehensive guide and workbook that covers all the basics of precalculus that you need to understand this subject. Each chapter focuses on one major topic, with thorough explanations and many illustrative examples, so you can learn at your own pace and really absorb the information. You get to apply your knowledge and practice what you've learned through a variety of exercises, with an answer key for instant feedback. Offering a winning solution for getting a handle on math right away, *Practice Makes Perfect: Precalculus* is your ultimate resource for building a solid understanding of precalculus fundamentals.

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## Theory & Problems for Mathematics 8

**TABLE OF CONTENTS**

**Chapter 1 - Fractions **

1.1 Simplifying Fractions

1.2 Multiplying Fractions

1.3 Multiplying Mixed Fractions

1.4 Dividing Fractions

1.5 Dividing Mixed Fractions

1.6 Adding and Subtracting Fractions

1.7 Chapter Review

**Chapter 2 - Integers **

2.1 The Number Line

2.2 Multiplication of Integers

2.3 Division of Integers

2.4 Order of Operations

2.5 Chapter Review

**Chapter 3 - Geometry **

3.1 Three Dimensional Figures

3.2 Surface Area of Prisms

3.3 Volume of Prisms

3.4 Surface Area of a Cylinder

3.5 Volume of a Cylinder

3.6 Parallels and Transversals

3.7 Congruency and Similarity

3.8 Chapter Review

**Chapter 4 - Percents, Ratios, and Proportions **

4.1 Ratios, Rates, and Unit Rates

4.2 Proportions

4.3 Relating Percents, Decimals, and Fractions

4.4 Percent Problems

4.5 Compound Percent and Reasoning Problems

4.6 Chapter Review

**Chapter 5 - Linear Equations **

5.1 Algebraic Expressions

5.2 Addition and Subtraction of Polynomials

5.3 Addition and Subtraction Equations

5.4 Multiplication and Division Equations

5.5 Combined Operations

5.6 Linear Relations

5.7 Linear Models

5.8 Chapter Review

**Chapter 6 - Square Roots and the Pythagorean Theorem **

6.1 Square Roots

6.2 Modelling Square Roots

6.3 Non-Perfect Square Roots

6.4 The Pythagorean Theorem

6.5 Applications of the Pythagorean Theorem

6.6 Chapter Review

**Chapter 7 - Data Analysis and Probability **

7.1 Tables

7.2 Interpreting Graphs

7.3 Constructing Graphs

7.4 Misleading Graphs

7.5 Measure of Central Tendency

7.6 Probability

7.7 Independent and Dependent Events

7.8 Chapter Review

**Chapter 8 - Geometric Patterns **

8.1 Isometric Drawings

8.2 Rotating Cubes

8.3 Tessellations

8.4 Transformations

8.5 Creating Tessellations

8.6 Chapter Review

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## Theory & Problems for Mathematics 9

**TABLE OF CONTENTS **

**Chapter 1 - Square Roots, Powers, and Exponent Laws **

1.1 The Real Number System

1.2 Square Roots

1.3 Square Roots of Non-Perfect Squares

1.4 Defining a Power

1.5 Orders of Operations

1.6 Exponent Laws

1.7 Power Rules

1.8 Chapter Review

**Chapter 2 - Finance **

2.1 Income

2.2 Simple Interest

2.3 Compound Interest

2.4 Budget

2.5 Chapter Review

**Chapter 3 - Rational Numbers **

3.1 Defining Rational Numbers

3.2 Adding and Subtracting Rational Numbers

3.3 Adding and Subtracting Using Fraction Notation

3.4 Multiplying and Dividing Rational Numbers

3.5 Chapter Review

**Chapter 4 - Linear Relations **

4.1 Patterns

4.2 Linear Systems

4.3 Graphing Equations in the Form Ax + By = C

4.4 Matching Equations of Graphs

4.5 Chapter Review

**Chapter 5 – Polynomials**

5.1 Defining Polynomials

5.2 Adding and Subtracting Polynomials

5.3 Multiplying Polynomials

5.4 Dividing Polynomials

5.5 Chapter Review

**Chapter 6 - Linear Equations **

6.1 Understanding Linear Equations

6.2 Removing Fractions, Decimals and Parentheses

6.3 Linear Inequalities

6.4 Adding and Subtracting Linear Inequalities

6.5 Multiplying Linear Inequalities

6.6 Applications of Linear Equations

6.7 Chapter Review

**Chapter 7 - Reasoning **

7.1 Inductive Reasoning to Find a Specific Term

7.2 Inductive Reasoning to Find the nth Term

7.3 Deductive Reasoning

7.4 Puzzles and Games of Strategy

7.5 Chapter Review

**Chapter 8 - Probability and Statistics **

8.1 Population Versus Sample in Statistics

8.2 When to use a Population or a Sample in Statistics

8.3 Measure of Central Tendency in Statistics

8.4 Misleading Graphs

8.5 Probability Part I

8.6 Probability Part II

8.7 Chapter Review

**Chapter 9 - Similarity and Scale Factors **

9.1 Scale Factor

9.2 Similar Triangles

9.3 Similar Polygons

9.4 Reflection and Symmetry

9.5 Rotation

9.6 Chapter Review

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## Theory and Problems for Foundations of Math & Pre-Calculus 10

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## Theory and Problems for Pre-Calculus 11

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## Theory and Problems for Pre-Calculus 12

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