Intermediate Algebra (11th edition)

80 CHAPTER 2 Linear Equations, Inequalities, and Applications

Solve each problem. See Section 2.2.

69.Use to find dif and

70.Use to find Pif and

71.Use to find aif and

72.Use to find a= 21 h 1 b+B 2 hif and a=156, b=12, B=14.

P=a+b+c b=13, c=14, P=46.

P= 2 L+ 2 W L= 10 W=6.

d=rt r= 50 t=4.

PREVIEW EXERCISES

STUDY SKILLS

Study the set of sample math notes given here.

N Use a new pagefor each day’s lecture.

N Include the date and titleof the day’s lecture topic.

N Skip lines and write neatlyto make reading easier.

N Include cautions and warningsto emphasize common

errors to avoid.

N Mark important concepts with stars, underlining,

circling,boxes, etc.

N Use two columns,which allows an example and its

explanation to be close together.

N Use brackets and arrowsto clearly show steps, re-

lated material, etc.

With a partner or in a small group, compare lecture
notes.

1. What are you doing to show main points in your
   notes (such as boxing, using stars or capital letters,
   etc.)?


2. In what ways do you set off explanations from
   worked problems and subpoints (such as indenting,
   using arrows,circling, etc.)?


3. What new ideas did you learn by examining your
   classmates’ notes?


4. What new techniques will you try in your note
   taking?

Taking Lecture Notes

Translating Words to Expressions

and Equations

Problem solving: key words or phrases translate to algebraic

expressions.

A phrase (part of a sentence)

A sentence

algebraic expression equation with = sign

Pay close attention to exact wording of the sentence;

watch for commas.

Caution Subtraction is not commutative;

the order does matter.

Examples: 10 less than a number

a number subtracted from 10

10 minus a number

Correct

x –10

10 – x

10 – x

Wrong

x –10

x –10

Note

difference

No equal sign in an expression. 3x + 2

Equation has an equal sign. 3x + 2 = 14

The quotient of a number and the number plus 4 is 28.

= 28

x

x + 4

The quotient of a number and 4, plus the number, is 28.

Commas separate

this from division part

x

4 + x = 28

Sept. 1

10 – x