Grade 8 Mathematics - .NET Framework

Teacher Packet

Grade 8 Mathematics

Teacher At-Home Activity Packet

The At-Home Activity Packet includes 18 sets of practice problems that align to

important math concepts that have likely been taught this year.

Since pace varies from classroom to classroom, feel free to select the pages that align

with the topics your students have covered.

The At-Home Activity Packet includes instructions to the parent and can be printed

and sent home.

This At-Home Activity Packet¡ªTeacher Guide includes all the same practice sets

as the Student version with the answers provided for your reference.

See the Grade 8 Math

concepts covered in

this packet!

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Teacher Packet

Grade 8 Math concepts covered in this packet

Concept

Understanding Integer

Exponents

Understanding Scientific

Notation

Understanding Functions

Understanding Linear

Equations

Understanding Systems of

Linear Equations

Understanding

Transformation,

Congruence, and Similarity

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Practice

Fluency and Skill Practice

1

Applying Properties for Powers with the Same

Base......................................................................................

3

2

Applying Properties for Powers with the Same

Exponent............................................................................

4

3

Applying Properties of Negative Exponents.........

5

4

Applying Properties of Integer Exponents.............

6

5

Writing Numbers in Scientific Notation..................

7

6

Adding and Subtracting with Scientific Notation 8

7

Multiplying and Dividing with Scientific

10

Notation..............................................................................

8

Interpreting a Linear Function.................................... 12

9

Writing an Equation for a Linear Function from a

14

Verbal Description..........................................................

10

Using Graphs to Describe Functions

16

Qualitatively......................................................................

11

Finding the Slope of a Line.......................................... 18

12

Graphing a Linear Equation Given in Any Form

13

Representing and Solving Problems with

22

One?Variable Equations................................................

14

Solving Systems of Linear Equations by

24

Substitution.......................................................................

15

Solving Systems of Linear Equations by

25

Elimination.........................................................................

16

Solving Real-World Problems with Systems of

26

Linear Equations..............................................................

17

Performing Sequences of Rigid Transformations 28

18

Describing Sequences of Transformations

30

Involving Dilations..........................................................

20

FLUENCY AND SKILLS PRACTICE

Name:

Teacher Packet

LESSON 19

Applying Properties for Powers with the

Same Base

Rewrite each expression as a single power.

1

64 ? 64

2

(255)2

3

68

4

29

¡¤¡¤

25

510

3 ? 3 ? 3 ? 3 ? 32

5

24

125 ? 127

¡¤¡¤¡¤¡¤¡¤¡¤¡¤

2124

36

6

1 2

75

¡¤¡¤

72

2

2128

76

Evaluate each expression.

7

48

¡¤¡¤

45

8

(210) ? (210)4

64

9

1

(23)4

¡¤¡¤¡¤¡¤¡¤

(23)2

2

3

729

2100,000

What value of x makes the equation true?

10

8x

5 87

¡¤¡¤

85

11 (211)x ? (211)4 5

x 5 12

(211)10

¡¤¡¤¡¤¡¤¡¤¡¤

(211)3

12 (6x)10 5

x53

(612)2

¡¤¡¤¡¤¡¤¡¤

64

x52

13 Explain how you solved for x in problem 12.

Possible answer: I know that (am)n 5 am ? n. So, I simplified the left side of

the equation to be 610x and the right side of the equation to be

624

. Also,

¡¤¡¤¡¤

64

m

I know a n 5 am 2 n, so I subtracted the exponents on the right side of the

a

¡¤¡¤¡¤

equation. Therefore, 610x 5 620. Since 10 ? 2 5 20, x 5 2.

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GRADE 8

LESSON 19

3

FLUENCY AND SKILLS PRACTICE

Name:

Teacher Packet

LESSON 19

Applying Properties for Powers with the Same

Exponent

Rewrite each expression as a single power.

1

94 ? 104

2

(12 ? 6)3

3

33

¡¤¡¤

23

1 ¡¤¡¤32 2

3

90

4

4

62

¡¤¡¤

22

3

72

5

(25)6 ? (27)6

6

2

1 2

64

¡¤¡¤¡¤

124

1 ¡¤¡¤12 2

8

32

356

Rewrite each expression as a product of two powers or quotient of two powers.

7

55(162 ? 53)3

8

1

84 ? 53

¡¤¡¤¡¤¡¤¡¤

85

2

2

9

56

8

¡¤¡¤

166 ? 514

1

58 ? 37

¡¤¡¤¡¤¡¤¡¤

54

10

2

540 ? 370

10 How does multiplying powers with the same base differ from multiplying powers with the

same exponent but different bases?

Possible answer: When powers with the same base are multiplied, the bases

remain the same and the exponents are added. When powers with the same

exponent but different bases are multiplied, the bases are multiplied and

the exponents remain the same.

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Copying permitted for classroom use.

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GRADE 8

LESSON 19

4

FLUENCY AND SKILLS PRACTICE

Name:

LESSON 20

Teacher Packet

Applying Properties of Negative Exponents

Rewrite each expression using only positive exponents. The answers are mixed

up at the bottom of the page. Cross out the answers as you complete the problems.

1

73 ? 1629

2

826

¡¤¡¤¡¤¡¤

2124

3

73

¡¤¡¤¡¤

169

4

163 ? (27)23

5

1127 ? 59

¡¤¡¤¡¤¡¤¡¤¡¤¡¤

69

8

163

¡¤¡¤¡¤

73

6

(8 ? 21)24

8 ? 2123

1

8

¡¤¡¤¡¤¡¤¡¤¡¤¡¤

(8 ? 21)4

¡¤¡¤¡¤

213

1127 ? 59

¡¤¡¤¡¤¡¤¡¤¡¤¡¤

629

59

¡¤¡¤¡¤¡¤¡¤¡¤

117 ? 69

10

23

214

¡¤¡¤¡¤

86

163

¡¤¡¤¡¤¡¤¡¤

(27)3

7

7

1 ¡¤¡¤

16 2

9

69 ? 1127 ? 529

69 ? 59

¡¤¡¤¡¤¡¤¡¤

117

35 ? (24)210

¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤

79 ? 2124

11

69

¡¤¡¤¡¤¡¤¡¤¡¤

117 ? 59

(221)24 ? (24)0

¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤

325 ? 729

35 ? 214

¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤

79 ? (24)10

12

35 ? 72

¡¤¡¤¡¤¡¤¡¤¡¤

(221)4

1 ¡¤¡¤37 2

25

? (221)24 ? (24)2

75 ? (24)2

¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤

35 ? (221)4

Answers

1

¡¤¡¤¡¤¡¤¡¤¡¤

(8 ? 21)4

¡¤¡¤¡¤¡¤¡¤¡¤

117 ? 59

163

¡¤¡¤¡¤

73

75 ? (24)2

¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤

35 ? (221)4

214

¡¤¡¤¡¤

86

69 ? 59

¡¤¡¤¡¤¡¤¡¤

117

163

¡¤¡¤¡¤¡¤¡¤

(27)3

9

10

¡¤¡¤¡¤¡¤¡¤¡¤¡¤¡¤

35 ? 72

¡¤¡¤¡¤¡¤¡¤¡¤

(221)4

8

¡¤¡¤¡¤

213

59

¡¤¡¤¡¤¡¤¡¤¡¤

117 ? 69

73

¡¤¡¤¡¤

169

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69

35 ? 214

7 ? (24)

Copying permitted for classroom use.

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GRADE 8

LESSON 20

5

 ................
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