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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 3quotesdbs_dbs14.pdfusesText_20

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