Must Know High School Algebra

by Christopher Monahan

Overview

Learn Algebra quickly and easily!
Must Know High School Algebra is more than just an Algebra workbook. Its user-friendly format and concept-first approach give you the edge you need now to improve your Algebra skills for homework, classwork, and exams. It's like a lightning bolt to the brain!

As part of our Must Know series, Must Know High School Algebra provides a fresh approach to learning by making sure what you really need to know is clear up-front. Chapters begin with the must know ideas, or concepts. The chapter then shows you how these important concepts will help you succeed in your studies. Plenty of examples, clear answer explanations, and practical exercises at the end of each chapter help boost your confidence that you've mastered the essential topics.

Dive into this book and find:

• 400+ practice questions that mirror what you will find in your classwork and on exams
• A bonus app with 100+ flashcards that will reinforce what you’ve learned
• An easy-access setup that allows you to jump in and out of subjects
• Algebra topics aligned to national and state education standards
• Conversational writing style and informative sidebars for much needed support
• Special help for more challenging algebra subjects, including linear inequalities, quadratic functions, and radical expressions

Product Details

ISBN-13:	9781260452921
Publisher:	McGraw-Hill Professional Publishing
Publication date:	06/20/2019
Pages:	448
Product dimensions:	7.20(w) x 9.00(h) x 0.70(d)
Age Range:	13 - 17 Years

About the Author

Chris Monahan taught mathematics to high school and college students for more than 30 years. He is a national trainer for Texas Instruments’ Teachers Teaching with Technology program.

Table of Contents

Introduction 1

The Flashcard App 3

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 17

2 Relations and Functions 23

Cartesian Coordinate Plane 24

Relations 28

Functions 30

Function Notation 32

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

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

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

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

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

8 Exponents and Exponential Functions 183

Multiplication Properties of Exponents 184

Division Properties of Exponents 186

Rational Exponents 189

Scientific Notation 192

Exponential Functions 195

Growth and Decay 198

Geometric Sequences as Exponential Functions 202

Recursive Formulas 205

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

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 254

Solving Quadratic Equations by Graphing 256

Transformations of Quadratic Functions 260

Solving Quadratic Equations by Using the Quadratic Formula 263

Special Functions 266

11 Rational Expressions and Equations 277

Inverse Variation 278

Rational Functions 280

Simplifying Rational Expressions 283

Multiplying and Dividing Rational Expressions 284

Adding and Subtracting Rational Expressions 286

Mixed Expressions and Complex Fractions 289

Rational Equations 293

Dividing Polynomials 297

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

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

Answer Key 371