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Item Detail

Basic Algebra

ISBN10: 0395411882

ISBN13: 9780395411889

Cover: Hardcover

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List Price ~~$78.68~~
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UNIT A

Working with Variables

Using Letters for Numbers

(4)

Parentheses, Order of Operations

(2)

Coefficients and Terms

(2)

Properties of Addition

(2)

Exponents and Factors

(2)

Properties of Multiplication

(2)

The Distributive Property

(2)

Properties of 0

(2)

Properties of 1

(3)

Introduction to Equations

(2)

Introduction to Inequalities

(11)

Solving Equations

Solving Equations by Addition

(2)

Solving Equations by Subtraction

(2)

Solving More Equations

(4)

Equations with More Steps

(4)

A Mind-Reading Trick

(2)

Combining Terms

(2)

Writing Algebraic Expressions

(4)

Applied Problems and Puzzles

(4)

Variable on Both Sides of the Equation

(2)

Equations with Parentheses

(2)

Puzzles

(12)

UNIT B

Positive and Negative Numbers

(2)

Inequalities and Graphs

(3)

Addition

(2)

Subtraction

(4)

Simplifying Expressions

(2)

Multiplication

(2)

Simplifying Expressions

(2)

Division

(2)

Solving Equations

(2)

Absolute Value (Optional)

(13)

Formulas

Perimeter Formulas

112

(3)

Area Formulas

115

(4)

Volume Formulas

119

(5)

Writing Formulas

124

(2)

Motion Formulas

126

(4)

Cost and Money Problems

130

(4)

New Formulas from Old

134

(5)

Formulas from Mechanics (Optional)

139

(13)

UNIT C

Working with Polynomials

Addition

152

(2)

Subtraction

154

(2)

Multiplying Monomials

156

(2)

Powers of Monomials

158

(2)

Polynomials Times Monomials

160

(2)

Multiplying Polynomials

162

(2)

Multiplying at Sight

164

(4)

Square of a Binomial

168

(2)

Division with Monomials

170

(2)

Exponent Rules (Optional)

172

(2)

Polynomials Divided by Monomials

174

(2)

Dividing Polynomials (Optional)

176

(10)

Factoring

Factoring in Arithmetic

186

(2)

Common Monomial Factors

188

(2)

Using Factoring

190

(2)

Factoring Trinomials--Two Sums

192

(4)

Factoring Trinomials--Two Differences

196

(2)

Factoring Trinomial Squares

198

(2)

Factoring Trinomials

200

(4)

A Special Product

204

(2)

Factoring the Difference of Squares

206

(2)

Many Types of Factoring

208

(2)

More Difficult Factoring (Optional)

210

(14)

UNIT D

Graphs

Graphs You Often See

224

(4)

Graphs with Lines and Curves

228

(5)

Points on a Graph

233

(4)

Solution Pairs

237

(4)

Graphs of Equations

241

(2)

Slope of a Line

243

(2)

Functions

245

(6)

Graphs of Inequalities (Optional)

251

(11)

Equations with Two Variables

The Graphing Method

262

(4)

No Solution, Many Solutions

266

(4)

The Substitution Method

270

(2)

The Add-or-Subtract Method

272

(4)

Word Problems, Two Variables

276

(4)

Using Multiplication

280

(2)

Cost Problems

282

(2)

Boat and Aircraft Problems (Optional)

284

(14)

UNIT E

Working with Fractions

Fractions in Algebra

298

(2)

Simplifying Fractions

300

(2)

The---1 Factor

302

(2)

Ratio

304

(2)

Problems Involving Ratio

306

(2)

Proportion

308

(2)

Applying Proportions

310

(4)

Multiplying Fractions

314

(2)

Dividing Fractions

316

(3)

Add, Subtract---Same Denominators

319

(2)

Renaming Fractions

321

(2)

Add, Subtract---Different Denominators

323

(2)

More Difficult Fractions (Optional)

325

(2)

Equations with Fractions

327

(2)

Work Problems

329

(5)

Binomial Denominators (Optional)

334

(14)

Decimals and Percents

Decimals

348

(2)

Division with Decimals

350

(2)

Decimals for Fractions

352

(2)

Equations with Decimals

354

(2)

Using Decimal Equations

356

(3)

Percents

359

(4)

Using Percents

363

(2)

Percents in Equations

365

(4)

Interest

369

(2)

Investment

371

(2)

Mixture Problems

373

(15)

UNIT F

Squares and Square Roots

Square Roots

388

(2)

Using a Square Root Table

390

(2)

Irrational Numbers

392

(2)

Simplifying Square Roots

394

(2)

Solving Equations

396

(2)

Law of Pythagoras

398

(4)

Quotients of Square Roots

402

(2)

Multiplication and Division

404

(2)

Rationalizing the Denominator

406

(2)

Addition, Subtraction

408

(2)

Radicals and Binomials (Optional)

410

(10)

Quadratic Equations

Zero Products

420

(2)

Solving Quadratic Equations

422

(2)

Solving Quadratic Equations

424

(2)

Using Square Roots

426

(2)

Using Square Roots

428

(2)

The Quadratic Formula

430

(4)

Problem Solving

434

(2)

Quadratic Graphs

436

(13)

Table of Squares

449

(1)

Table of Square Roots

450

(1)

Extra Practice Exercises

451

(30)

Cumulative Reviews

481

(11)

Glossary

492

(6)

Index

498

(10)

Answers to Self-Tests

508

(3)

Answers to Selected Exercises

511

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