i Table of contents 288

Algebra 2 Companion Book, Volume 1

This companion book to Thinkwell's Algebra 2 course includes: • Illustrated lesson notes • Lesson worksheets • Practice exercises • Review worksheets • Suggested pacing guide • Formula and resource worksheets Volume 1 covers: Ch 1 - Foundations for Functions Ch 2 - Linear Functions Ch 3 - Linear Systems Ch 4 - Matrices Ch 5 - Quadratic Functions

Cover		1
Welcome Page		5
Table of Contents		9
Tips for Success		11
Pacing Guide		13
Chapter 1 – Foundations for Functions		15
1.1 Properties and Operations		17
1.1.1 Sets of Numbers		19
1.1.2 Properties of Real Numbers		24
1.1.3 Square Roots		30
1.1.4 Simplifying Algebraic Expressions		36
1.1.5 Properties of Exponents and Scientific Notation		41
1.1 Review Worksheet, Part 1		47
1.1 Review Worksheet, Part 2		49
1.2 Introduction to Functions		51
1.2.1 Relations and Functions		53
1.2.2 Function Notation		58
1.2.3 Exploring Transformations		63
1.2.4 Introduction to Parent Functions		70
1.2 Review Worksheet		75
Chapter 2 – Linear Functions		79
2.1 Linear Equations and Inequalities		81
2.1.1 Solving Linear Equations and Inequalities		83
2.1.2 Proportional Reasoning		89
2.1.3 Graphing Linear Functions		95
2.1.4 Writing Linear Functions		103
2.1.5 Linear Inequalities in Two Variables		111
2.1 Review Worksheet, Part 1		117
2.1 Review Worksheet, Part 2		120
2.2 Applying Linear Functions		123
2.2.1 Transforming Linear Functions		125
2.2.2 Curve Fitting With Linear Models		133
2.2.3 Solving Absolute-Value Equations and Inequalities		140
2.2.4 Absolute-Value Functions		146
2.2 Review Worksheet		152
Chapter 3 – Linear Systems		157
3.1 Linear Systems in Two Dimensions		159
3.1.1 Using Graphs and Tables to Solve Linear Systems		161
3.1.2 Using Algebraic Methods to Solve Linear Systems		167
3.1.3 Solving Systems of Linear Inequalities		174
3.1.4 Linear Programming		180
3.1 Review Worksheet		186
Chapter 4 – Matrices		191
4.1 Matrix Operations		193
4.1.1 Matrices and Data		195
4.1.2 Multiplying Matrices		201
4.1.3 Using Matrices to Transform Geometric Figures		208
4.1 Review Worksheet		214
Chapter 5 – Quadratic Functions		217
5.1 Quadratic Functions and Complex Numbers		219
5.1.1 Using Transformations to Graph Quadratic Functions		221
5.1.2 Properties of Quadratic Functions in Standard Form		229
5.1.3 Solving Quadratic Equations by Graphing and Factoring		235
5.1.4 Completing the Square		242
5.1.5 Complex Numbers and Roots		248
5.1.6 The Quadratic Formula		254
5.1 Review Worksheet, Part 1		260
5.1 Review Worksheet, Part 2		264
5.2 Applying Quadratic Functions		267
5.2.1 Solving Quadratic Inequalities		269
5.2.2 Curve Fitting with Quadratic Models		275
5.2.3 Operations with Complex Numbers		280
5.2 Review Worksheet		288
Formulas & Symbols		291

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