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Exponents, Radicals & Scientific Notation Test Objective: Students will be able to apply mathematical concepts for assessment. Do Now: Go over Home Work Exponents, Radicals Math Test Review. Answer any questions. Exponents, Radicals & Scientific Notation Test Have students complete Exponents, Radicals & Scientific Notation Test. This test assesses students’ retention of the following lessons: Part I: Introduction to Exponents Multiplying & Dividing Exponents Square Roots Introduction Scientific Notation Part II: Simplifying Radicals Adding & Subtracting Radicals (NOTE: The answer for #14 has a negative exponent. If students have not covered negative exponents, change the exponent so that it is positive.) Copyright © 2012 Joe Fraioli All rights reserved by author. Permission to copy for classroom use only. Electronic distribution limited to classroom use only. http://www.teacherspayteachers.com/Store/Joe-Fraioli

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Page 1: Exponents, radicals & scientific notation test with answers

Exponents, Radicals & Scientific Notation Test

Objective: Students will be able to apply mathematical concepts for

assessment.

Do Now: Go over Home Work – Exponents, Radicals Math Test Review.

Answer any questions.

Exponents, Radicals & Scientific Notation Test

Have students complete Exponents, Radicals & Scientific Notation Test.

This test assesses students’ retention of the following lessons:

Part I:

Introduction to Exponents

Multiplying & Dividing Exponents

Square Roots Introduction

Scientific Notation

Part II:

Simplifying Radicals

Adding & Subtracting Radicals

(NOTE: The answer for #14 has a negative exponent. If students have not covered

negative exponents, change the exponent so that it is positive.)

Copyright © 2012 Joe Fraioli

All rights reserved by author.

Permission to copy for classroom use only.

Electronic distribution limited to classroom use only.

http://www.teacherspayteachers.com/Store/Joe-Fraioli

Page 2: Exponents, radicals & scientific notation test with answers

NAME____________________ DATE______

CLASS

Exponents, Radicals, Scientific Notation Math Test – Part I

Objective: Students will be able to activate prior learning to apply math concepts for

assessment.

Find the value of the expression.

1) 72 = 4)

24

9=

2) (-6)3 = 5) (0.3)

2 =

3) 5-2

= 6) 130 =

Simplify. Write your answers with positive exponents.

7) 96 × 9

5 = 13)

9

0

10

10 =

8) 53 × 5

2 = 14)

5

12

x

x =

9) x4 × x

3 = 15)

3

2

18

3

m

m =

10) 7k2 × 4k

9 = 16)

345q =

11) 8m2n

3 × 4mn

4 = 17)

3 236

4

x y

xy

12) 8

313 = 18) 4 6 8

2 5 2

21

3

p q r

p q r =

Page 3: Exponents, radicals & scientific notation test with answers

Find the two square roots of each number.

19) 81 = 22) 1

25 =

20) 121 = 23) 0.09 =

21) 64

100 = 24) 0.64 =

Write the two consecutive integers the square root is between.

25) 35 = 26) 110 =

27) Write 0.0000049 in scientific notation.

28) Write 8.003 × 107 in standard notation.

Simplify each expression. Write each answer in scientific notation.

29) (4 × 1013

)(8 × 107) 31) (9 × 10

16)

2

30) (3.5 × 10-4

)(6.2 × 10-9

) 32) 12

19

3.2 10

2 10

Page 4: Exponents, radicals & scientific notation test with answers

NAME____________________ DATE______

CLASS

Exponents, Radicals, Scientific Notation Math Test – Part II

Simplify each radical expression.

33) 7 120 = 34) 7 6 2 10 =

35) 3 6 2 8 = 36) 5 5 8 15 =

Simplify each radical expression.

37) 532m = 38) 3 52 6 5 10x x =

Simplify each radical expression.

39) 7

2

88

81

y

y = 40)

5

3

90

50

x

x =

Simplify each expression.

41) 6 3 2 3 = 42) 3 6 4 24 =

43) 10 7 2 15 = 44) 6 3 8 6 =

Page 5: Exponents, radicals & scientific notation test with answers

NAME____ANSWER KEY_

Exponents, Radicals, Scientific Notation Math Test – Part I

Objective: Students will be able to activate prior learning to apply math concepts for

assessment.

Find the value of the expression.

1) 72 = 49 4)

24

9=

16

81

2) (-6)3 = -216 5) (0.3)

2 = 0.09

3) 5-2

= 1

25 6) 13

0 = 1

Simplify. Write your answers with positive exponents.

7) 96 × 9

5 = 9

11 13)

9

0

10

10 = 10

9

8) 53 × 5

2 = 5

5 14)

5

12

x

x =

7

1

x

9) x4 × x

3 = x

7 15)

3

2

18

3

m

m = 6m

10) 7k2 × 4k

9 = 28k

11 16)

345q = 125q

12

11) 8m2n

3 × 4mn

4 = 32m

3n

7 17)

3 236

4

x y

xy= -9x

2y

12) 8

313 = 1324

18) 4 6 8

2 5 2

21

3

p q r

p q r = 7p

2qr

6

Page 6: Exponents, radicals & scientific notation test with answers

Find the two square roots of each number.

19) 81 = 9, -9 22) 1

25 =

1 1,

5 5

20) 121 = 11, -11 23) 0.09 = 0.3, -0.3

21) 64

100 =

4 4,

5 5 24) 0.64 = 0.8, -0.8

Write the two integers the square root is between.

25) 35 = 5 and 6 26) 110 = 10 and 11

27) Write 0.0000049 in scientific notation.

4.9 × 10-6

28) Write 8.003 × 107 in standard notation.

80,030,000

Simplify each expression. Write each answer in scientific notation.

29) (4 × 1013

)(8 × 107) 31) (9 × 10

16)

2

3.2 × 1021

8.1 × 1033

30) (3.5 × 10-4

)(6.2 × 10-9

) 32) 12

19

3.2 10

2 10

2.17 × 10-12

1.6 × 10-7

Page 7: Exponents, radicals & scientific notation test with answers

NAME__ANSWER KEY_

Exponents, Radicals, Scientific Notation Math Test – Part II

Simplify each radical expression.

33) 7 120 = 14 30 34) 7 6 2 10 = 28 15

35) 3 6 2 8 = 24 3 36) 5 5 8 15 = 200 3

Simplify each radical expression.

37) 532m = 24 2m m 38) 3 52 6 5 10x x = 420 15x

Simplify each radical expression.

39) 7

2

88

81

y

y =

22 22

9

y y 40)

5

3

90

50

x

x =

3 5

5

x

Simplify each expression.

41) 6 3 2 3 = 8 3 42) 3 6 4 24 = 11 6

43) 10 7 2 15 = 7 10 10 6 44) 6 3 8 6 = 3 6 48

Page 8: Exponents, radicals & scientific notation test with answers

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Page 9: Exponents, radicals & scientific notation test with answers

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Page 10: Exponents, radicals & scientific notation test with answers

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Page 11: Exponents, radicals & scientific notation test with answers

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Introduction to Trigonometry Lesson Plan

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