Deck 11: Radical Expressions, Equations, and Functions

Question 1

Use a calculator to approximate to three decimal places.

A) 3.300
B) 0.033
C) 0.003
D) 0.33

Answer 1

B

Question 2

Find the square roots.
2500

A) 51, -51
B) 52, -52
C) 50, -50
D) 100, -100

Answer 2

C

Question 3

Simplify.

A) 0.003
B) 0.3
C) 0.03
D) 3

Answer 3

B

Question 4

Identify the radicand.

A)
B) y - 5
C)
D) y + 5

Question 5

Use a calculator to approximate to three decimal places.

A) 14.023
B) 14.051
C) 14
D) 14.036

Question 6

Simplify.

A) 24
B) does not exist as a real number
C) 23
D) 264

Question 7

Find the square roots.
324

A) 19, -19
B) 36, -36
C) 20, -20
D) 18, -18

Question 8

Simplify.

A) does not exist as a real number
B) 0.05
C) -0.05
D) -0.5

Question 9

Simplify.
- 256

A) -16
B) does not exist as a real number
C) 16
D) -128

Question 10

Use a calculator to approximate to three decimal places.

A) 1
B) 1.507
C) 1.522
D) 1.494

Question 11

Use a calculator to approximate to three decimal places.

A) 0.015
B) 0.15
C) 0.002
D) 1.500

Question 12

Simplify.

A)
B)
C) does not exist as a real number
D)

Question 13

Use a calculator to approximate to three decimal places.

A) 1209.716
B) 2.206
C) 4.866
D) 0.206

Question 14

Use a calculator to approximate to three decimal places.

A) - 30.430
B) - 30.417
C) 30.445
D) 30

Question 15

Use a calculator to approximate to three decimal places.

A) 1902.190
B) 5.013
C) 0.239
D) 2.239

Question 16

Identify the radicand.

A) y
B)
C) y - 4
D) 9x

Question 17

Identify the radicand.

A)
B) x + 9
C) x
D)

Question 18

Identify the radicand.

A)
B)
C)
D) 2

Question 19

Simplify.

A)
B)
C)
D)

Question 20

Simplify.

A) 13
B) 72
C) 12
D) does not exist as a real number

Question 21

Identify the radicand.

A)
B)
C)
D)

Question 22

For the given function, find the indicated function value.
For g(x) = find g(3).

A) 4
B) 3
C) 2
D) 1

Question 23

Answer the question.
Police use a formula , where S is the test-car speed and L is the test-skid length, to find the actual speed s in an accident which left a skid mark of l. Find the speed (nearest whole mph) when S = 54 mph,
L = 150 ft, L = 100 ft.

A) 66 mph
B) 44 mph
C) 81 mph
D) 104 mph

Question 24

Find the domain of f.
f(x) =

A)
B)
C)
D)

Question 25

For the given function, find the indicated function value.
For g(x) = , find g(3).

A)
B)
C)
D) Does not exist as a real number

Question 26

Graph.

A)
B)
C)
D)

Question 27

Answer the question.
A retailer finds that total costs per day are given by c = + 169, where c is cost and n is units sold. What is c when no units are sold?

A) $169
B) $52
C) $208
D) $185

Question 28

Graph.

A)
B)
C)
D)

Question 29

Identify the radicand.

A)
B)
C) 6x - y
D)

Question 30

Graph.

A)
B)
C)
D)

Question 31

For the given function, find the indicated function value.
For f(x) = find f(14).

A)
B)
C)
D)

Question 32

Identify the radicand.

A) 8ab
B)
C)
D)

Question 33

For the given function, find the indicated function value.
For g(x) = - find g(-10).

A) 10
B) -9
C) -10
D) 9

Question 34

Identify the radicand.

A)
B)
C)
D) x + 6

Question 35

For the given function, find the indicated function value.
For g(x) = find g(7).

A)
B)
C)
D)

Question 36

Find the domain of f.
f(x) =

A)
B)
C)
D)

Question 37

Find the domain of f.
f(x) =

A)
B)
C)
D)

Question 38

For the given function, find the indicated function value.
For f(x) = find f(-6).

A) Does not exist as a real number
B)
C)
D)

Question 39

Find the domain of f.
f(x) =

A)
B)
C) All real numbers
D)

Question 40

Answer the question.
The cost of manufacturing clocks is given by , where c is the total cost and n is the number produced. What is c when no clocks are produced?

A) $784
B) $196
C) $49
D) $28

Question 41

Simplify.

A) 0.5(x + 2)
B) 0.25(x + 8)
C) 0.5(x + 8)
D)

Question 42

Find the following. Assume that the letter can represent any real number.

A) z + 7
B)
C)
D)

Question 43

Simplify.

A)
B)
C)
D)

Question 44

Graph.

A)
B)
C)
D)

Question 45

Find the following. Assume that the letter can represent any real number.

A) 9x
B)
C)
D) 3x

Question 46

Simplify.

A) -4
B) 4
C) -2
D) 2

Question 47

Simplify.

A)
B) -6x
C)
D) -36x

Question 48

Simplify.

A) 3
B) -3
C) 9
D) -9

Question 49

Simplify.

A) 50
B) 15
C) 25
D) 5

Question 50

Graph.

A)
B)
C)
D)

Question 51

Graph.

A)
B)
C)
D)

Question 52

Find the following. Assume that the letter can represent any real number.

A)
B)
C)
D)

Question 53

Find the following. Assume that the letter can represent any real number.

A)
B)
C)
D)

Question 54

Graph.

A)
B)
C)
D)

Question 55

Find the following. Assume that the letter can represent any real number.
(-14y)2

A) -14 y
B) 14 y
C) 196 y
D) 14y

Question 56

Find the following. Assume that the letter can represent any real number.

A) 13y
B)
C)
D)

Question 57

Simplify.

A) -5x
B) -125x
C) 5x
D)

Question 58

Find the following. Assume that the letter can represent any real number.

A)
B)
C)
D)

Question 59

Find the following. Assume that the letter can represent any real number.

A)
B) x
C)
D)

Question 60

Simplify.

A) -24
B) -2
C) -3
D) -4

Question 61

Rewrite without rational exponents, and simplify, if possible.

A) 32
B) 1024
C) 35
D)

Question 62

Find the following. Assume that letters can represent any real number.

A)
B)
C) 3a + b
D)

Question 63

For the given function, find the indicated function value.
For f(x) = find f(-62).

A) 5
B) Does not exist as a real number
C) 4
D) -5

Question 64

Rewrite without rational exponents, and simplify, if possible.

A) 5
B) 50
C) 25
D) 15

Question 65

Find the following. Assume that letters can represent any real number.

A) 9
B) -3
C) 3
D) -9

Question 66

For the given function, find the indicated function value.
For f(x) = , find f(-28).

A) Does not exist as a real number
B) -3
C) 3
D) -4

Question 67

Find the following. Assume that letters can represent any real number.

A) a + b
B)
C)
D)

Question 68

Find the following. Assume that letters can represent any real number.

A) 25
B) 5
C) -5
D) Not a real number

Question 69

For the given function, find the indicated function value.
For f(x) = , find f(5).

A)
B)
C)
D)

Question 70

Find the following. Assume that letters can represent any real number.

A) Not a real number
B) -4
C) -16
D) -3

Question 71

Find the following. Assume that letters can represent any real number.

A)
B) x
C) Not a real number
D)

Question 72

Find the following. Assume that letters can represent any real number.

A) 9 - x
B)
C) x - 9
D)

Question 73

Rewrite without rational exponents, and simplify, if possible.

A) 243
B) 12
C) 36
D) 3

Question 74

Find the following. Assume that letters can represent any real number.

A) Not a real number
B) 8
C) -8
D) 64

Question 75

Rewrite without rational exponents, and simplify, if possible.

A) 6
B) 12
C) 1.5
D) 3

Question 76

Rewrite without rational exponents, and simplify, if possible.

A) 64
B) 128
C) 32
D) 16

Question 77

Rewrite without rational exponents, and simplify, if possible.

A)
B)
C)
D)

Question 78

Find the following. Assume that letters can represent any real number.

A)
B) Not a real number
C) 6x
D)

Question 79

Rewrite without rational exponents, and simplify, if possible.

A)
B)
C)
D)

Question 80

Rewrite without rational exponents, and simplify, if possible.

A)
B)
C)
D)