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Chapter 1A1Glencoe Algebra 2

Answers

Answers(Lesson 1-1)

STEP 1

Chapter 1

3

Glencoe Algebra 2

NAME ______________________________________________ DATE ____________ PERIOD _____ 1 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Anticipation GuideEquations and Inequalities

Chapter Resources

Before you begin Chapter 1

• Read each statement.¥ Decide whether you Agree (A) or Disagree (D) with the statement.¥ Write A or D in the first column OR if you are not sure whether you agree or disagree,write NS (Not Sure).

After you complete Chapter 1

• Reread each statement and complete the last column by entering an A or a D.¥ Did any of your opinions about the statements change from the first column?¥ For those statements that you mark with a D, use a piece of paper to write an example of

why you disagree.STEP 1

STEP 2

A, D, or NS

Statement

A or D

1. Algebraic expressions contain at least one variable. A 2. The order of operations must be followed so that every expression will have only one value. A 3. All real numbers are in the set of rational numbers. D 4. The commutative property is true for addition and multiplication only. A 5. The phrase twice the sum of a number squared and 6 could be written as 2 n 2 6. D

6.The reflexive property of equality states that if

a b then b a D 7. The absolute value of a number is its distance from 0 on the number line. A 8.

If the absolute value of any expression is equal to a negative number, then the solution is the empty set.

A 9.

When adding or subtracting a negative number to both sidesof an inequality, the inequality symbol must be reversed.

D 10.

Writing a solution in the form {

x x

5} is called set builder

notation. A 11.

If a compound inequality contains the word "or", the solution will be the intersection of the solution sets of the two inequalities.

D 12.

If |3x

1|

10, then 3

x 1

10 and 3

a 1 10. D

STEP 2

Lesson 1-1

Chapter 1

5

Glencoe Algebra 2

Get Ready for the LessonRead the introduction to Lesson 1-1 in your textbook.• Nurses use the formula

F to control the flow rate for IVs. Name

the quantity that each of the variables in this formula represents and the units in whicheach is measured.F

represents the and is measured in per minute. V represents the of solution and is measured in . d represents the and is measured in per milliliter. t represents and is measured in . ¥ Write the expression that a nurse would use to calculate the flow rate of an IV if a doctor

orders 1350 milliliters of IV saline to be given over 8 hours, with a drop factor of 20 dropsper milliliter. Do not find the value of this expression.

Read the Lesson

1.

There is a customary order for grouping symbols. Brackets are used outside ofparentheses. Braces are used outside of brackets. Identify the innermost expression(s) ineach of the following expressions.a.

[(3 2 2 8] 4 (3 2 2 b. 9 [5(8 6) ?2(10 7)] (8

6) and (10

7) c. {14 [8 (3 12) 2 (6 3 100)
(3 12) 2.

Read the following instructions. Then use grouping symbols to show how the instructionscan be put in the form of a mathematical expression.Multiply the difference of 13 and 5 by the sum of 9 and 21. Add the result to 10. Thendivide what you get by 2.

[(13 5)(9 21)
10] 2 3.

Why is it important for everyone to use the same order of operations for evaluatingexpressions?Sample answer: If everyone did not use the same order of

operations, different people might get different answers.

Remember What You learned

4. Think of a phrase or sentence to help you remember the order of operations.Sample answer: P lease e xcuse m y d ear A unt S ally. (parentheses; exponents; multiplication and division; addition and subtraction) 1350
20 8 60
minutes time drops drop factor milliliters volume drops flow rate V ?d t

Lesson Reading GuideExpressions and Formulas

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. NAME ______________________________________________ DATE ____________ PERIOD _____ 1-1

A1-A23 A2-01-873971 5/19/06 8:03 AM Page A1

Chapter 1A2Glencoe Algebra 2

Answers(Lesson 1-1)

Chapter 1

6

Glencoe Algebra 2

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Study Guide and InterventionExpressions and Formulas

Order of Operations

1.

Simplify the expressions inside grouping symbols.

Order of 2.

Evaluate all powers.

Operations 3.

Do all multiplications and divisions from left to right. 4. Do all additions and subtractions from left to right.

Evaluate [18

(6 4)] 2. [18 (6 4)] 2 [18 10] 2 8 2 4

Evaluate 3

x 2 x y 5) if x 3 and y 0.5.

Replace each variable with the given value.3

x 2 x y 5) 3 (3) 2 3(0.5 5) 3 (9) 3( 4.5) 27
13.5 13.5

Find the value of each expression.

1. 14 (6 2) 17 2. 11 (3 2) 2 14 3. 2 (4 2) 3 6 4 4. 9(3 2 6) 135
5. (5 2 3 2 5 2 144
6. 5 2 18 2 34.25
7. 6 8. (7 3 2 2 6 2 40
9. 20 2 2 6 11 10. 12 6 3 2(4) 6 11. 14 (8 20 2) 7 12. 6(7) 4 4 5 38
13. 8(4 2 8 32)
240
14. 24
15. 4

Evaluate each expression if

a 8.2, b 3, c

4, and

d 16. 49.2
17. 5(6 c 8 b 10 d 215
18. 6 19. ac bd 31.3
20. b c 2 4 a 81.8
21.
6 b 5 c 54.4
22.
3 b 21
23.
cd 4 24.
d a c 6.1 25.
a b c 7.45 26.
b c 4 d 15 27.
d 8.7 a ?b c b?d c ?d a?dc 2 1 b d ab? d 1?2 6 9 3 15 8 2 6 4 2 ??4 6 1 16 2 3 4 1 2 2 1?4 NAME ______________________________________________ DATE ____________ PERIOD _____ 1-1

Exercises

Example 1

Example 2

Lesson 1-1

Chapter 1

7

Glencoe Algebra 2

Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

Study Guide and Intervention

(continued)

Expressions and Formulas

Formulas

A formula is a mathematical sentence that uses variables to express the

relationship between certain quantities. If you know the value of every variable except onein a formula, you can use substitution and the order of operations to find the value of theunknown variable.

To calculate the number of reams of paper needed to print n copies of a booklet that is p pages long, you can use the formula r , where r

is the number of reams needed. How many reams of paper must you buy to print 172 copies of a 25-page booklet?Substitute

n

172 and

p

25 into the formula

r r 8.6

You cannot buy 8.6 reams of paper. You will need to buy 9 reams to print 172 copies.For Exercises 1-3, use the following information.For a science experiment, Sarah counts the number of breaths needed for her to blow up abeach ball. She will then find the volume of the beach ball in cubic centimeters and divideby the number of breaths to find the average volume of air per breath.

1.

Her beach ball has a radius of 9 inches. First she converts the radius to centimetersusing the formula

C 2.54 I , where C is a length in centimeters and I is the same length in inches. How many centimeters are there in 9 inches?

22.86 cm

2.

The volume of a sphere is given by the formula

V r 3 , where V is the volume of the sphere and r is its radius. What is the volume of the beach ball in cubic centimeters? (Use 3.14 for

50,015 cm

3 3. Sarah takes 40 breaths to blow up the beach ball. What is the average volume of air perbreath? about 1250 cm 3 4.

A person's basal metabolic rate (or BMR) is the number of calories needed to support hisor her bodily functions for one day. The BMR of an 80-year-old man is given by theformula BMR

12 w (0.02)(6)12 w , where w is the man's weight in pounds. What is the

BMR of an 80-year-old man who weighs 170 pounds?

1795 calories

4?3

43,000?

500
(172)(25)?? 500
np ?500 np ?500 NAME ______________________________________________ DATE ____________ PERIOD _____ 1-1quotesdbs_dbs6.pdfusesText_12

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