STUDY SKILLS
Your textbook is a valuable resource.You will learn more if you fully make use of the
features it offers.
General Features
N Table of ContentsFind this at the front of the text. Mark
the chapters and sections you will cover, as noted on your
course syllabus.
N Answer SectionTab this section at the back of the book
so you can refer to it frequently when doing homework.
Answers to odd-numbered section exercises are provided.
Answers to ALL summary, chapter review, test, and cumu-
lative review exercises are given.
N GlossaryFind this feature after the answer section at the
back of the text. It provides an alphabetical list of the
key terms found in the text, with definitions and section
references.
N List of FormulasInside the back cover of the text is a
helpful list of geometric formulas, along with review
information on triangles and angles. Use these for refer-
ence throughout the course.Specific Features
N ObjectivesThe objectives are listed at the beginning of
each section and again within the section as the cor-
responding material is presented. Once you finish a
section, ask yourself if you have accomplished them.
N Now Try ExercisesThese margin exercises allow you to immediately practice the
material covered in the examples and prepare you for the exercises. Check your
results using the answers at the bottom of the page.
N PointersThese small shaded balloons provide on-the-spot warnings and reminders,
point out key steps, and give other helpful tips.
N CautionsThese provide warnings about common errors that students often make
or trouble spots to avoid.
N NotesThese provide additional explanations or emphasize important ideas.
N Problem-Solving HintsThese green boxes give helpful tips or strategies to use
when you work applications.Find an example of each of these features in your textbook.
Using Your Math Textbook
For a bill totaling $5.65, a cashier received 25 coins consisting of nickels and quar-Solving a Money Denomination Problem
ters. How many of each denomination of coin did the cashier receive?
Step 1Readthe problem. The problem asks that we find the number of nickels and
the number of quarters the cashier received.
Step 2Assign a variable.Then organize the information in a table.
Let the number of nickels.Then (^25) - x=the number of quarters.
x=
EXAMPLE 1
SECTION 2.4Further Applications of Linear Equations 81
OBJECTIVES
Further Applications of Linear Equations
2.
(^1) about differentSolve problems
denominations of money.
(^2) about uniformSolve problems
3 motion.
about angles.Solve problems
OBJECTIVE 1Solve problems about different denominations of money.
lems like CAUTIONBe sure that your answer is reasonablewhen you are working prob-
answer can be neither negative nor a fraction.Example 1.Because you are dealing with a number of coins, the correct
In problems involving money, use the following basic fact.
number of monetary total monetary
units of the same kind denomination value
30 dimes have a monetary value of
Fifteen 5-dollar bills have a value of 15^301 $0.10 1 $5 (^22) ==$75.$3.00.
:
PROBLEM-SOLVING HINT
Nickels Number of CoinsDenomination Value
Quarters x 0.05 0.05x
0.
5.650.25^125 - x^2 Total
(^25) - x
Step 3Write an equationfrom the last column of the table.
Step 4Solve.
Multiply by 100.
Distributive property
Subtract 625. Combine like terms.
x= (^3) Divide by -20.
- 20 x=- 60
5 x+ (^625) - 25 x= 565
5 x+ 25125 - x 2 = 565
0.05x+0.25 (^125) - x 2 =5.
0.05x+0.25 125 - x (^2) =5.
Move decimalpoints 2 places
to the right.
Step 5State the answer.The cashier has 3 nickels and
Step 6Check.The cashier has and the value of the coins isquarters.
$0.05 132 +$0.25 1222 =$5.65,as required. NOW TRY
(^3) + 22 =25 coins,^25 -^3 =^22
NOW TRYEXERCISE 1
Steven Danielson has a col-lection of 52 coins worth
only dimes and nickels. How$3.70. His collection contains
many of each type of coindoes he have?
NOW TRY ANSWER1.22 dimes; 30 nickels