Must Know High School Algebra, Second Edition

by Christopher Monahan, Laura Favata

Overview

A unique and effective way to learn Algebra—updated with the latest instruction and review

Must Know High School Algebra provides a fresh approach to learning. As part of our Must Know series, this new edition makes sure what you really need to know is clear up-front. Rather than starting with goals to be met, chapters begin by telling you the most important concepts about the topic at hand—and then show you exactly how these concepts help you accomplish your goals.

Written by excerpt algebra educators, Must Know High School Algebra, Second Edition provides updated lesson content and useful examples to help clarify each topic. Every chapter closes with reinforcing exercises to get you the practice you need to gain confidence. New features to this edition focus on extra support and helping you avoid common mistakes. In the end, you get everything you need to build your algebra skills quickly and painlessly.

Features:

• More than 400 practice questions that parallel what you will find in your classwork and on exams
• Bonus app that includes 100+ flashcards to reinforce concepts
• “Extra Help” and “Easy Mistake” features put the emphasis on how to improve and what pitfalls to avoid
• Algebra topics aligned to national and state educational standards
• Practical examples throughout and an answer key with explanations make sure you understand the topics
• Conversational writing style and informative IRL (In Real Life) and BTW (By the Way) sidebars
• A special section for teachers with tips and strategies on teaching the material and content-specific specific links and resources

Product Details

ISBN-13:	9781264286409
Publisher:	McGraw Hill LLC
Publication date:	06/12/2022
Sold by:	Barnes & Noble
Format:	eBook
Pages:	448
File size:	26 MB
Note:	This product may take a few minutes to download.

About the Author

Chris Monahan has more than 30 years’ experience teaching math at the high school and college levels. He is a National Trainer for Texas Instruments in Teaching Teachers with Technology.

Laura Favata has decades of experience as a math teacher, including Algebra I and Algebra II. She is a member of the Association of Mathematics Teachers of New York State and the National Council of Teachers of Mathematics.

Table of Contents

Author's Note ix

Introduction 1

The Flashcard App 4

1 Putting Numbers Together and Taking Them Apart 5

The Order of Operations 6

Variables and Expressions 11

Bases and Exponents 13

Evaluating Algebraic Expressions 15

Solving Two-Step Linear Equations 18

Exercises 20

2 Relations and Functions 23

Cartesian Coordinate Plane 24

Relations 28

Functions 30

Function Notation 32

Exercises 35

3 Linear Equations 37

Solving Multistep Linear Equations 38

Solving Linear Equations with Variables on Each Side of the Equation 41

Literal Equations 44

Writing Equations 47

Ratios and Proportions 51

Percent of Change 54

Weighted Averages 57

Two-Way Tables 59

Exercises 61

4 Equations of Linear Functions 65

Rate of Change and Slope 66

Graphing Equations in Slope-Intercept Form 74

Writing Equations in Slope-Intercept Form 78

Writing Equations in Point-Slope Form 81

Writing Equations in Standard Form 84

Graphing Equations in Standard Form 86

Parallel and Perpendicular Lines 89

Inverse Linear Functions 92

Exercises 95

5 Applications of Linear Functions 101

Word Problems: Coins, Geometry, and Motion 102

Coin Problems 102

Geometry Problems 105

Motion Problems 108

Direct Variation 111

Sequences 114

Arithmetic Sequences as Linear Functions 118

Arithmetic Series 121

Absolute Value 124

Exercises 129

6 Linear Inequalities 133

Solving Inequalities with the Four Operations 134

Solving Multistep Inequalities 136

Solving Compound Inequalities 137

Inequalities Involving Absolute Value 141

Graphing Inequalities in Two Variables 143

Exercises 149

7 Systems of Linear Equations and Inequalities 151

Graphing Systems of Equations 152

Algebraic Solutions 155

Substitution 156

Elimination Using Addition and Subtraction 158

Solution Using Matrices 162

Applying Systems of Linear Equations 166

Currency 166

Motion 168

Mixture 171

Systems of Inequalities 173

Exercises 179

8 Exponents and Exponential Functions 183

Multiplication Properties of Exponents 184

Division Properties of Exponents 186

Rational Exponents 189

Scientific Notation 193

Exponential Functions 195

Growth and Decay 199

Geometric Sequences as Exponential Functions 203

Recursive Formulas 206

Exercises 211

9 Quadratic Expressions and Equations 215

Adding and Subtracting Polynomials 216

Multiplying a Polynomial by a Monomial 219

Multiplying Polynomials 220

Multiplying Binomials 220

Multiplying Polynomials 225

Special Products 227

Differences of Squares 228

Perfect Squares 228

Factoring Polynomials 230

First Step: Always look for a common factor. 230

Second Step: Is the polynomial one of the special polynomials? 231

Trial and Error: Part 1 233

Trial and Error: Part 2 235

Solving x² + bx + c = 0 239

Exercises 241

10 Quadratic Functions and Equations 245

Completing the Square 246

Graphing Quadratic Functions 250

The Standard Form of the Parabola 250

The Vertex Form of the Parabola 255

Solving Quadratic Equations by Graphing 257

Transformations of Quadratic Functions 260

Solving Quadratic Equations by Using the Quadratic Formula 263

Special Functions 266

Exercises 273

11 Rational Expressions and Equations 277

Inverse Variation 278

Rational Functions 280

Simplifying Rational Expressions 282

Multiplying and Dividing Rational Expressions 284

Adding and Subtracting Rational Expressions 286

Mixed Expressions and Complex Fractions 289

Rational Equations 293

Dividing Polynomials 297

Exercises 303

12 Radical Functions and Geometry 309

Simplifying Radical Expressions 310

Operations with Radical Expressions 314

Radical Equations 317

The Pythagorean Theorem 320

Trigonometric Ratios 324

Exercises 332

13 Probability and Statistics 339

Statistics and Parameters 340

Measures of Central Tendency 341

Distributions of Data 347

Scatter Plots and Lines of Fit 361

Exercises 368

Answer Key 371

Teacher's Guide 429