Exam (elaborations)
Elementary and Intermediate Algebra for College Students 5th Edition by Allen R. Angel SOLUTION
- Course
- Institution
Test Bank For Elementary and Intermediate Algebra for College Students 5th Edition All Chapters
[Show more]
Content preview
INSTRUCTOR’SSOLUTIONS MANUAL
MATH MADE VISIBLE
E LEMENTARY & I NTERMEDIATE
A LGEBRA
FOR C OLLEGE S TUDENTS
FIFTH EDITION
Allen R. Angel
Monroe Community College
Dennis C. Runde
State College of Florida
,The author and publisher of this book have used their best efforts in preparing this book. These efforts include the development,
research, and testing of the theories and programs to determine their effectiveness. The author and publisher make no warranty of
any kind, expressed or implied, with regard to these programs or the documentation contained in this book. The author and
publisher shall not be liable in any event for incidental or consequential damages in connection with, or arising out of, the
furnishing, performance, or use of these programs.
Reproduced by Pearson from electronic files supplied by the author.
Copyright © 2019, 2015, 2011 Pearson Education, Inc.
Publishing as Pearson, 330 Hudson Street, NY NY 10013
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by
any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher.
Printed in the United States of America.
ISBN-13: 978-0-13-479515-7
ISBN-10: 0-13-479515-6
,Elementary and Intermediate Algebra For College Students
Table of Contents
1. Real Numbers ............................................................................................................................ 1
1.1 Study Skills for Success in Mathematics ...................................................................... 1
1.2 Problem Solving ........................................................................................................... 1
1.3 Fractions........................................................................................................................ 6
1.4 The Real Number System ........................................................................................... 15
1.5 Inequalities and Absolute Value ................................................................................. 17
Mid-Chapter Test: Sections 1.1–1.5 ..................................................................... 21
1.6 Addition of Real Numbers .......................................................................................... 22
1.7 Subtraction of Real Numbers ...................................................................................... 29
1.8 Multiplication and Division of Real Numbers ............................................................ 35
1.9 Exponents, Parentheses, and the Order of Operations ................................................ 41
1.10 Properties of the Real Number System ..................................................................... 50
Review Exercises ............................................................................................................. 52
Practice Test ...................................................................................................................... 57
2. Solving Linear Equations ....................................................................................................... 59
2.1 Combining Like Terms ............................................................................................... 59
2.2 The Addition Property of Equality ............................................................................. 64
2.3 The Multiplication Property of Equality ..................................................................... 71
2.4 Solving Linear Equations with a Variable on Only One Side of the Equation........... 79
Mid-Chapter Test: Sections 2.1–2.4 ..................................................................... 89
2.5 Solving Linear Equations with the Variable on Both Sides of the Equation .............. 90
2.6 Formulas ................................................................................................................... 101
2.7 Ratios and Proportions .............................................................................................. 112
Review Exercises ............................................................................................................ 119
Practice Test .................................................................................................................... 128
Cumulative Review Test ................................................................................................. 130
3. Applications of Algebra ........................................................................................................ 132
3.1 Changing Application Problems into Equations ....................................................... 132
3.2 Solving Application Problems .................................................................................. 136
Mid-Chapter Test: Sections 3.1–3.2 ................................................................... 143
3.3 Geometric Problems.................................................................................................. 144
3.4 Motion, Money, and Mixture Problems.................................................................... 148
Review Exercises ............................................................................................................ 158
Practice Test .................................................................................................................... 163
Cumulative Review Test ................................................................................................. 165
4. Graphing Linear Equations ................................................................................................. 168
4.1 The Cartesian Coordinate System and Linear Equations in Two Variables ............. 168
4.2 Graphing Linear Equations ....................................................................................... 171
4.3 Slope of a Line .......................................................................................................... 180
Mid-Chapter Test: Sections 4.1–4.3 ................................................................... 183
4.4 Slope-Intercept and Point-Slope Forms of a Linear Equation .................................. 185
Review Exercises ............................................................................................................ 191
Practice Test .................................................................................................................... 194
Cumulative Review Test ................................................................................................. 196
, 5. Exponents and Polynomials ................................................................................................. 198
5.1 Exponents.................................................................................................................. 198
5.2 Negative Exponents .................................................................................................. 204
5.3 Scientific Notation .................................................................................................... 211
Mid-Chapter Test: Sections 5.1–5.3 ................................................................... 217
5.4 Addition and Subtraction of Polynomials ................................................................. 217
5.5 Multiplication of Polynomials .................................................................................. 223
5.6 Division of Polynomials ........................................................................................... 230
Review Exercises ............................................................................................................ 237
Practice Test .................................................................................................................... 243
Cumulative Review Test ................................................................................................. 245
6. Factoring ................................................................................................................................ 247
6.1 Factoring a Monomial from a Polynomial ................................................................ 247
6.2 Factoring by Grouping .............................................................................................. 251
6.3 Factoring Trinomials of the Form ax2 + bx + c, a = 1 .............................................. 255
6.4 Factoring Trinomials of the Form ax2 + bx + c, a ≠ 1 .............................................. 258
Mid-Chapter Test: Sections 6.1–6.4 ................................................................... 261
6.5 Special Factoring Formulas and a General Review of Factoring ............................. 262
6.6 Solving Quadratic Equations Using Factoring ......................................................... 267
6.7 Applications of Quadratic Equations ........................................................................ 272
Review Exercises ............................................................................................................ 278
Practice Test .................................................................................................................... 284
Cumulative Review Test ................................................................................................. 285
7. Rational Expressions and Equations................................................................................... 288
7.1 Simplifying Rational Expressions............................................................................. 288
7.2 Multiplication and Division of Rational Expressions ............................................... 293
7.3 Addition and Subtraction of Rational Expressions with a Common
Denominator and Determining the Least Common Denominator ............................ 301
7.4 Addition and Subtraction of Rational Expressions ................................................... 310
Mid-Chapter Test: Sections 7.1–7.4 ................................................................... 322
7.5 Complex Fractions .................................................................................................... 324
7.6 Solving Rational Equations....................................................................................... 330
7.7 Rational Equations: Applications and Problem Solving........................................... 352
7.8 Variation ................................................................................................................... 360
Review Exercises ............................................................................................................ 368
Practice Test .................................................................................................................... 377
Cumulative Review Test ................................................................................................. 379
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller Reenstudyguides. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $17.99. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
80796 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now