i Table of contents 319

Algebra 1 Companion Book, Vol 1 – Summer Edition

This companion book to Thinkwell's Algebra 1 Summer Edition 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 Algebra Ch 2 - Equations, Proportions, and Percent Ch 3 - Inequalities Ch 4 - Functions Ch 5 - Linear Functions

Chapter 1 - Foundations for Algebra		15
1.1 - The Language of Algebra		17
1.1.1 Variables and Expressions		19
1.1.2 Adding and Subtracting Real Numbers		24
1.1.3 Multiplying and Dividing Real Numbers		30
1.1.4 Powers and Exponents		35
1.1.5 Square Roots and Real Numbers		40
1.1 Review Worksheet, Part 1		45
1.2 - Tools of Algebra		49
1.2.1 Set Theory		51
1.2.2 Order of Operations		57
1.2.3 Simplifying Expressions		63
1.2.4 Introduction to Functions		68
1.2 Review Worksheet, Part 1		75
1.2 Review Worksheet, Part 2		78
Chapter 2 - Equations, Proportions, and Percent		81
2.1 Solving Equations		83
2.1.1 Addition and Subtraction Equations		85
2.1.2 Multiplication and Division Equations		89
2.1.3 Solving Two-Step Equations		93
2.1.4 Solving Multi-Step Equations		99
2.1.5 Solving Equations with Variables on Both Sides		105
2.1 Review Worksheet, Part 1		110
2.1 Review Worksheet, Part 2		112
2.2 Proportion and Percent		115
2.2.1 Rates, Ratios, and Proportions		117
2.2.2 Applications of Proportion		124
2.2.3 Percents		131
2.2.4 Applications of Percent		137
2.2.5 Percent Increase and Decrease		142
2.2 Review Worksheet, Part 1		148
2.2 Review Worksheet, Part 2		151
Chapter 3 - Inequalities		153
3.1 Introduction to Inequalities		155
3.1.1 Graphing and Writing Inequalities		157
3.1.2 Solving Inequalities by Adding or Subtracting		162
3.1.3 Solving Inequalities by Multiplying or Dividing		166
3.1 Review Worksheet		171
3.2 Multi-Step and Compound Inequalities		175
3.2.1 Solving Two-Step and Multi-Step Inequalities		177
3.2.2 Solving Inequalities with Variables on Both Sides		182
3.2.3 Solving Compound Inequalities		187
3.2 Review Worksheet, Part 1		192
3.2 Review Worksheet, Part 2		194
Chapter 4 - Functions		195
4.1 Introduction to Functions		197
4.1.1 Graphing Relationships		199
4.1.2 Relations and Functions		205
4.1.3 Writing Function Rules		211
4.1 Review Worksheet		217
4.2 Applying Functions		221
4.2.1 Graphing Functions		223
4.2.2 Scatter Plots and Trend Lines		228
4.2 Review Worksheet		236
Chapter 5 - Linear Functions		239
5.1 Characteristics of Linear Functions		241
5.1.1 Identifying Linear Functions		243
5.1.2 Using Intercepts		250
5.1.3 Rate of Change and Slope		256
5.1.4 The Slope Formula		264
5.1 Review Worksheet, Part 1		270
5.1 Review Worksheet, Part 2		274
5.2 Using Linear Functions		277
5.2.1 Slope-Intercept Form		279
5.2.2 Point-Slope Form		287
5.2.3 Slopes of Parallel and Perpendicular Lines		297
5.2.4 Transforming Linear Functions		305
5.2 Review Worksheet		314
Blank Graph Paper		321
Formulas and Symbols		327
Blank Page		2

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