Handout: Unit 3 Practice Test

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Handout: Unit 3 Practice Test
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Name: ________________________ Class: ___________________ Date: __________ ID: A





Unit 3 Practice Test



1 Simplify 9 + 3 • 2 2 − (9 − 2) 2 11 What expression is equivalent to 5 5 × 5 −5 ?

A 50

2 Simplify (7 − 6) 2 + 6 ÷ 3 • 4

B 5 10

3 Evaluate −5r 2 − 2s 2 for r = 5 and s = –1 C 5 −25

D 5 −10

4 Evaluate the expression for the given value(s).

12 (ab) −2 (ab) −3 =

(−4h − j) 2

for h = –5 and j = –4 F (2ab) −5

h

G (2ab) 1

5 What does x 3 equal when x = –3? H (ab) −5

6 Simplify. Write using exponential notation. I (ab) 1

33 • 27 • 43 95

13 What value is equivalent to ?

3 11 • 2 3 • 4 7 9−5

A 9 10

7 Write as a power 6 4 × 6 6 .

B 9 −10

8 Which expression below has the same value C 9 −25

10 6 D 90

as ?

10 2 6x −4

14 Which expression is equivalent to ?

F 108 36x 12

G 1012 F 6x 16

H 10,000 6

I 1,000 G

x 16

−6x 5 H 6x 8

9 What value is equivalent to ?

42x 8 1

I

A 7x 3 6x 16

1 15 Which expression below has the same value

B

7x 3 x −2

C 7x −3 as ?

x −10

1

D − 3 A x −12

7x 1

B

10 Which expression below has the same value x −8

as x 2 ⋅ y 2 ? C x −8

F Ê xy ˆ 4

Á ˜ 1

Ë ¯ D

G xxyy x −12

H 4xy 16 25 =

I Ê ˜4

Á xy ˆ

Ë ¯ 17 What is the square root of 121?



18 If x = 121, what is the value of 2 x ?





1

Name: ________________________ ID: A





19 The value of 183 is between which two 25 In the figure below, D is the midpoint of AC , and

integers? BD is perpendicular to AC .

20 What is the value of –6 81 ?



21 What is the length of the missing side of this

right triangle?









What is the length of BD?



22 In right XYZ, what is the length of YZ ?









23 Natalee cut his sandwich in half. If the diagonal

of the sandwich is 10 inches and the height is 8

inches, how wide is the sandwich?









Approximately how far from the base of the pole

is the rope tied?



24 George rides his bike 12 miles south and then an

unknown distance east. If he is 13 miles away

from home, how many miles east did George ride

his bike?









2

ID: A





Unit 3 Practice Test

Answer Section



1 –28

2 9

3 –127

576

4 −

5

5 −27

24

6

38 • 44

7 6 10

8 H

9 D

10 G

11 A

12 H

13 A

14 I

15 B

16 5

17 11

18 22

19 13 and 14

20 –54

21 15

22 8

23 6 inches

24 5 miles

25 8









1


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