Skip to content Skip to navigation Skip to collection information

OpenStax-CNX

You are here: Home » Content » Elementary Algebra » Exercise Supplement

Navigation

Table of Contents

Lenses

What is a lens?

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

This content is ...

Endorsed by Endorsed (What does "Endorsed by" mean?)

This content has been endorsed by the organizations listed. Click each link for a list of all content endorsed by the organization.
  • College Open Textbooks display tagshide tags

    This collection is included inLens: Community College Open Textbook Collaborative
    By: CC Open Textbook Collaborative

    Comments:

    "Reviewer's Comments: 'I recommend this book for courses in elementary algebra. The chapters are fairly clear and comprehensible, making them quite readable. The authors do a particularly nice job […]"

    Click the "College Open Textbooks" link to see all content they endorse.

    Click the tag icon tag icon to display tags associated with this content.

Affiliated with (What does "Affiliated with" mean?)

This content is either by members of the organizations listed or about topics related to the organizations listed. Click each link to see a list of all content affiliated with the organization.
  • OrangeGrove display tagshide tags

    This collection is included inLens: Florida Orange Grove Textbooks
    By: Florida Orange Grove

    Click the "OrangeGrove" link to see all content affiliated with them.

    Click the tag icon tag icon to display tags associated with this content.

  • Featured Content display tagshide tags

    This collection is included inLens: Connexions Featured Content
    By: Connexions

    Comments:

    "Elementary Algebra covers traditional topics studied in a modern elementary algebra course. Written by Denny Burzynski and Wade Ellis, it is intended for both first-time students and those […]"

    Click the "Featured Content" link to see all content affiliated with them.

    Click the tag icon tag icon to display tags associated with this content.

Recently Viewed

This feature requires Javascript to be enabled.

Tags

(What is a tag?)

These tags come from the endorsement, affiliation, and other lenses that include this content.
 

Exercise Supplement

Module by: Wade Ellis, Denny Burzynski. E-mail the authors

Summary: This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr. The basic operations with real numbers are presented in this chapter. The concept of absolute value is discussed both geometrically and symbolically. The geometric presentation offers a visual understanding of the meaning of |x|. The symbolic presentation includes a literal explanation of how to use the definition. Negative exponents are developed, using reciprocals and the rules of exponents the student has already learned. Scientific notation is also included, using unique and real-life examples. This module contains the exercise supplement for the chapter "Basic Operations with Real Numbers".

Exercise Supplement

Signed Numbers ((Reference))

For the following problems, find a a if a a is

Exercise 1

Exercise 2

15 15

Exercise 3

8 9 8 9

Solution

8 9 8 9

Exercise 4

( 3 ) ( 3 )

Exercise 5

Absolute Value ((Reference))

Simplify the following problems.

Exercise 6

| 8 | | 8 |

Exercise 7

| 3 | | 3 |

Solution

3

Exercise 8

| 16 | | 16 |

Exercise 9

( | 12 | ) ( | 12 | )

Solution

12

Exercise 10

| 0 | | 0 |

AddItion of Signed Numbers ((Reference)) - Multiplication and Division of Signed Numbers ((Reference))

Simplify the following problems.

Exercise 11

4+( 6 ) 4+( 6 )

Solution

2 2

Exercise 12

16+( 18 ) 16+( 18 )

Exercise 13

3( 14 ) 3( 14 )

Solution

17

Exercise 14

( 5 )( 2 ) ( 5 )( 2 )

Exercise 15

( 6 )( 3 ) ( 6 )( 3 )

Solution

18

Exercise 16

( 1 )( 4 ) ( 1 )( 4 )

Exercise 17

( 4 )( 3 ) ( 4 )( 3 )

Solution

12 12

Exercise 18

25 5 25 5

Exercise 19

100 10 100 10

Solution

10

Exercise 20

1618+5 1618+5

Exercise 21

( 2 )( 4 )+10 5 ( 2 )( 4 )+10 5

Solution

18 5 18 5

Exercise 22

3( 8+4 )12 4( 3+6 )2( 8 ) 3( 8+4 )12 4( 3+6 )2( 8 )

Exercise 23

1( 32 )4( 4 ) 13+10 1( 32 )4( 4 ) 13+10

Solution

7 7

Exercise 24

( 210 ) ( 210 )

Exercise 25

06( 4 )( 2 ) 06( 4 )( 2 )

Solution

48 48

Multiplication and Division of Signed Numbers ((Reference))

Find the value of each expression for the following problems.

Exercise 26

P=RCP=RC. Find PP if R=3000R=3000 and C=3800C=3800.

Exercise 27

z=xusz=xus. Find zz if x=22,u=30x=22,u=30, and s=8s=8.

Solution

1 1

Exercise 28

P=n(n1)(n2) P=n(n1)(n2) . Find P P if n=3 n=3 .

Negative Exponents ((Reference))

Write the expressions for the following problems using only positive exponents.

Exercise 29

a 1 a 1

Solution

1 a 1 a

Exercise 30

c 6 c 6

Exercise 31

a 3 b 2 c 5 a 3 b 2 c 5

Solution

a 3 b 2 c 5 a 3 b 2 c 5

Exercise 32

( x+5 ) 2 ( x+5 ) 2

Exercise 33

x 3 y 2 ( x3 ) 7 x 3 y 2 ( x3 ) 7

Solution

x 3 y 2 ( x3 ) 7 x 3 y 2 ( x3 ) 7

Exercise 34

4 2 a 3 b 4 c 5 4 2 a 3 b 4 c 5

Exercise 35

2 1 x 1 2 1 x 1

Solution

1 2x 1 2x

Exercise 36

( 2x+9 ) 3 7 x 4 y 5 z 2 ( 3x1 ) 2 ( 2x+5 ) 1 ( 2x+9 ) 3 7 x 4 y 5 z 2 ( 3x1 ) 2 ( 2x+5 ) 1

Exercise 37

( 2 ) 1 ( 2 ) 1

Solution

1 2 1 2

Exercise 38

1 x 4 1 x 4

Exercise 39

7x y 3 z 2 7x y 3 z 2

Solution

7x y 3 z 2 7x y 3 z 2

Exercise 40

4 c 2 b 6 4 c 2 b 6

Exercise 41

3 2 a 5 b 9 c 2 x 2 y 4 z 1 3 2 a 5 b 9 c 2 x 2 y 4 z 1

Solution

c 2 y 4 z 9 a 5 b 9 x 2 c 2 y 4 z 9 a 5 b 9 x 2

Exercise 42

( z6 ) 2 ( z+6 ) 4 ( z6 ) 2 ( z+6 ) 4

Exercise 43

16 a 5 b 2 2 a 3 b 5 16 a 5 b 2 2 a 3 b 5

Solution

8 a 2 b 3 8 a 2 b 3

Exercise 44

44 x 3 y 6 z 8 11 x 2 y 7 z 8 44 x 3 y 6 z 8 11 x 2 y 7 z 8

Exercise 45

8 2 8 2

Solution

1 64 1 64

Exercise 46

9 1 9 1

Exercise 47

2 5 2 5

Solution

1 32 1 32

Exercise 48

( x 3 ) 2 ( x 3 ) 2

Exercise 49

( a 2 b ) 3 ( a 2 b ) 3

Solution

1 a 6 b 3 1 a 6 b 3

Exercise 50

( x 2 ) 4 ( x 2 ) 4

Exercise 51

( c 1 ) 4 ( c 1 ) 4

Solution

c 4 c 4

Exercise 52

( y 1 ) 1 ( y 1 ) 1

Exercise 53

( x 3 y 4 z 2 ) 6 ( x 3 y 4 z 2 ) 6

Solution

y 24 z 12 x 18 y 24 z 12 x 18

Exercise 54

( x 6 y 2 ) 5 ( x 6 y 2 ) 5

Exercise 55

( 2 b 7 c 8 d 4 x 2 y 3 z ) 4 ( 2 b 7 c 8 d 4 x 2 y 3 z ) 4

Solution

b 28 c 32 y 12 z 4 16 d 16 x 8 b 28 c 32 y 12 z 4 16 d 16 x 8

Scientific Notation ((Reference))

Write the following problems using scientific notation.

Exercise 56

8739

Exercise 57

73567

Solution

7.3567× 10 4 7.3567× 10 4

Exercise 58

21,000

Exercise 59

746,000

Solution

7.46× 10 5 7.46× 10 5

Exercise 60

8866846

Exercise 61

0.0387 0.0387

Solution

3.87× 10 2 3.87× 10 2

Exercise 62

0.0097 0.0097

Exercise 63

0.376 0.376

Solution

3.76× 10 1 3.76× 10 1

Exercise 64

0.0000024 0.0000024

Exercise 65

0.000000000000537 0.000000000000537

Solution

5.37× 10 13 5.37× 10 13

Exercise 66

46,000,000,000,000,000

Convert the following problems from scientific form to standard form.

Exercise 67

3.87× 10 5 3.87× 10 5

Solution

387,000 387,000

Exercise 68

4.145× 10 4 4.145× 10 4

Exercise 69

6.009× 10 7 6.009× 10 7

Solution

60,090,000 60,090,000

Exercise 70

1.80067× 10 6 1.80067× 10 6

Exercise 71

3.88× 10 5 3.88× 10 5

Solution

0.0000388 0.0000388

Exercise 72

4.116× 10 2 4.116× 10 2

Exercise 73

8.002× 10 12 8.002× 10 12

Solution

0.000000000008002 0.000000000008002

Exercise 74

7.36490× 10 14 7.36490× 10 14

Exercise 75

2.101× 10 15 2.101× 10 15

Solution

2,101,000,000,000,000 2,101,000,000,000,000

Exercise 76

6.7202× 10 26 6.7202× 10 26

Exercise 77

1× 10 6 1× 10 6

Solution

1,000,000 1,000,000

Exercise 78

1× 10 7 1× 10 7

Exercise 79

1× 10 9 1× 10 9

Solution

1,000,000,000 1,000,000,000

Find the product for the following problems. Write the result in scientific notation.

Exercise 80

( 1× 10 5 )( 2× 10 3 ) ( 1× 10 5 )( 2× 10 3 )

Exercise 81

( 3× 10 6 )( 7× 10 7 ) ( 3× 10 6 )( 7× 10 7 )

Solution

2.1× 10 14 2.1× 10 14

Exercise 82

( 2× 10 14 )( 8× 10 19 ) ( 2× 10 14 )( 8× 10 19 )

Exercise 83

( 9× 10 2 )( 3× 10 75 ) ( 9× 10 2 )( 3× 10 75 )

Solution

2.7× 10 78 2.7× 10 78

Exercise 84

(1×104)(1×105)(1×104)(1×105)

Exercise 85

( 8× 10 3 )( 3× 10 6 ) ( 8× 10 3 )( 3× 10 6 )

Solution

2.4× 10 8 2.4× 10 8

Exercise 86

( 9× 10 5 )( 2× 10 1 ) ( 9× 10 5 )( 2× 10 1 )

Exercise 87

( 3× 10 2 )( 7× 10 2 ) ( 3× 10 2 )( 7× 10 2 )

Solution

2.1× 10 1 2.1× 10 1

Exercise 88

( 7.3× 10 4 )( 2.1× 10 8 ) ( 7.3× 10 4 )( 2.1× 10 8 )

Exercise 89

( 1.06× 10 16 )( 2.815× 10 12 ) ( 1.06× 10 16 )( 2.815× 10 12 )

Solution

2.9839× 10 28 2.9839× 10 28

Exercise 90

( 9.3806× 10 52 )( 1.009× 10 31 ) ( 9.3806× 10 52 )( 1.009× 10 31 )

Collection Navigation

Content actions

Download:

Collection as:

PDF | EPUB (?)

What is an EPUB file?

EPUB is an electronic book format that can be read on a variety of mobile devices.

Downloading to a reading device

For detailed instructions on how to download this content's EPUB to your specific device, click the "(?)" link.

| More downloads ...

Module as:

PDF | More downloads ...

Add:

Collection to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks

Module to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks