G8 U2 Assessment

Name: _________________________________________ Date:________________

Grade 8 Unit 2 Exponents, Radicals, and Scientific Notation 1. Combine the following numbers with their exponents in the equation below. ( 6−2 • 24 )3 = A

768

B

0.0469 …

C

0.0878 …

D

4096

2. Simplify the exponential expression below in terms of the variable. 𝑥 3 • 𝑥 5 • 𝑥 −6 A

𝑥 −90

B

𝑥2

C

𝑥4

D

𝑥 −1

3. Find the solution to the problem below. Solve the two half’s individually, then combine their results. 4 2 1 36 ( 5 2) + ( 2) = 4 •4 3 A -43046721 B

43046721

C

52048721

D

52048721 Copyright © Swun Math Grade 8 Unit 2 Assessment, Page 1

4.

Solve the equation below using properties of combining exponents.

−1

62 • 65 ( 8 ) 6

5.

6.

A

64

B

8

C

6

D

36

Solve for the variable. A

±√34

B

±8

C

±6

D

√6

Solve for the variable.

A

1/3

B

3

C

−3

D

3

=

𝑥 2 = 25 + 9

𝑥 3 = −787

√−787

√−787 √787

√787

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7.

Solve for the variable.

𝑧 2 = −25

A

-5

B

±5√−1

C

±5

D

±√5

8. Solve for the variable in the equation below. What two integers does the answer fall between? −3x 3 = −18 A

3 and 4

B

1 and 2

C

-3 and -4

D

-1 and -2

9. Circle the larger number in each of the four pairs below, indicate if it’s the first or second. A

√144 or 13

B

3

C D

√89 or 22 3

23 or √64 3

√5024 or 42

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10. What does the following expression simplify to? 𝑦 3 − 12 = 52 A

±4

B

4

C

−4

D

±√4

11. Convert the following number into scientific notation. 0.000987 A

9.87 • 10−3

B

987 • 10−5

C

9.87 • 10−4

D

98.7 • 10−3

12. Rewrite the following number in scientific notation as a regular decimal. 34.5 • 105 A

34500

B

345000

C

3450000

D

3450

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13. What is the value of the following equation below in scientific notation? (5.67 • 103 ) • (78.9 • 105 ) = A

44.736 • 1011

B

4.4736 • 1011

C

4.4736 • 109

D

4.4736 • 1010

14. What is the value of the following equation below in scientific notation? (2.33 • 104 ) + (78.9 • 105 ) – (6.88 • 103 ) = A

7.90642 • 106

B

79.0642 • 106

C

790.642 • 105

D

7.90642 • 105

15. What is the value of the following equation below in scientific notation? (3.2 • 10−1 ) × (9.1 • 106 ) ÷ (8.7 • 103 ) = A

3.347126 • 103

B

3.447128 • 102

C

3447.128 • 103

D

3.347126 • 102 Copyright © Swun Math Grade 8 Unit 2 Assessment, Page 5

16.

What is the value of the following equation below in scientific notation? (4.2 • 103 ) × (11 • 102 ) + (6.87 • 102 ) =

A

4.820621 • 107

B

4.620687 • 106

C

4.820621 • 106

D

4.620687 • 107

17.

What is the value of the following equation below in regular notation? (3.6 • 103 ) − (55 • 102 ) ÷ (5009 • 102 ) =

A

502800

B

3599.98802

C

3599.98902

D

−502800

18. Find the value of the variable using the properties of radicals and exponents. 3

2

( √𝑥) = 64

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19. Which of the following number pairs are considered both square number and cubic numbers?

A

32 and 512

B

27 and 144

C

4 and 36

D

64 and 1

20.

Carla built a perfect cubic box. The volume of the box is 216 cubic inches. How long is A side length of the box?

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