Algebra Book 3: Straight Forward Math Series (Large Edition)

Grade Level: 7+
Interest Level: N/A
Reading Level: N/A

Topics include: Matrices; Probability Concepts; Factorials; Sequences and Summation Notation Statistical Concepts. An answer key is included in this 96-page book.

Table of Contents

INTRODUCTION

CHAPTER 1:  Quadratic Equations:  A Review & Extension
What is a Quadratic Equation?

• Solving Quadratic Equations:  A Review
• The Square Root Method
• The Zero Product Method
• The Quadratic Formula Method
• The Discriminant

Completing the Square

• Completing the Square:  Method 1
• Completing the Square:  Method 2
• Completing the Square:  Method 3

CHAPTER 2:  Systems of Equations
Systems & Solutions
Solutions Methods for Two Equations with Two Variables Cases

• Graphing Method
• Substitution Method
• Addition Method

Solutions Methods for Three Equations with Three Variables Cases

• Substitution Method
• Addition Method

CHAPTER 3:  Matrices
Systems of Equations as Augmented Matrices
Row Operations on Matrices

Solving Systems of Equations Using Matrices

• Row Echelon Form

Solving Augmented Matrices in Row Echelon Form
Determinants

• The Determinant or 2x2 Matrices
• The Determinant or 3x3 Matrices
• Co-Factor Expansion & 3x3 Determinant

Matrix Algebra

• Equality
• Addition
• Substition

Multiplication

CHAPTER 4:  Probability Concepts

Factorials

• Ratios of Factorials

The Counting Principle
The Probability of an Event
Permutations
Combinations

CHAPTER 5:  Sequences & Summation Notation

Quickly Evaluating Large Sums

• Infinite Sums

Arithmetic vs. Geometric Sequences

• Arithmetic Sequences & Solution Methods
• Geometric Sequences & Solution Methods

CHAPTER 6:  Statistical Concepts
Measures of Central Tendency

• Mean
• Median
• Mode

Measure of Dispersion

• Variance
• Standard Deviation

CUMULATIVE TEST

ANSWERS