Deck 6: Radical Expressions, Equations, and Functions

Question 1

Simplify.

A)does not exist as a real number
B)25
C)312
D)26

Answer 1

does not exist as a real number

Question 2

Use a calculator to approximate to three decimal places.

A)26
B)- 26.926
C)26.941
D)- 26.913

Answer 2

- 26.926

Question 3

Simplify.

A)-0.2
B)-0.02
C)does not exist as a real number
D)0.02

Answer 3

-0.2

Question 4

Use a calculator to approximate to three decimal places.

A)0.010
B)0.1
C)1.000
D)0.001

Question 5

Simplify.

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

Question 6

Identify the radicand.

A)
B)x
C)x + 6

Question 7

Identify the radicand.

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

Question 8

Find the square roots.
1521

A)78, -78
B)41, -41
C)39, -39
D)40, -40

Question 9

Find the square roots.
169

A)14, -14
B)15, -15
C)13, -13
D)26, -26

Question 10

Use a calculator to approximate to three decimal places.

A)1.571
B)1
C)1.599
D)1.584

Question 11

Simplify.

A)
B)
C)
D)

Question 12

Identify the radicand.

A)
B)
C)3
D)

Question 13

Use a calculator to approximate to three decimal places.

A)0.3
B)1434.780
C)5.292
D)2.300

Question 14

Use a calculator to approximate to three decimal places.

A)935.307
B)4.050
C)0.012
D)2.012

Question 15

Use a calculator to approximate to three decimal places.

A)14.122
B)14.107
C)14
D)14.094

Question 16

Identify the radicand.

A)
B)y + 4
C)y - 4

Question 17

Use a calculator to approximate to three decimal places.

A)0.004
B)4.200
C)0.42
D)0.042

Question 18

Simplify.

A)-18
B)does not exist as a real number
C)-162
D)18

Question 19

Simplify.

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

Question 20

Simplify.

A)4
B)0.4
C)0.04
D)0.004

Question 21

For the given function, find the indicated function value.
For , find f(9).

A)
B)
C)
D)

Question 22

Find the domain of f.

A)All real numbers
B)
C)
D)

Question 23

Graph.

A)
B)
C)
D)

Question 24

For the given function, find the indicated function value.
For g(x)= find g(1).

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

Question 25

Find the domain of f.

A)
B)
C)
D)

Question 26

Find the domain of f.

A)
B)
C)
D)

Question 27

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)$36
B)$144
C)$24
D)$576

Question 28

Find the domain of f.

A)
B)
C)
D)

Question 29

Graph.

A)
B)
C)
D)

Question 30

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 = 45 mph,
L = 150 ft, L = 100 ft.

A)37 mph
B)55 mph
C)95 mph
D)68 mph

Question 31

Identify the radicand.

A)
B)
C)
D)

Question 32

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

A)$16
B)$41
C)$20
D)$100

Question 33

For the given function, find the indicated function value.
For g(x)= , find g(11).

A)
B)
C)
D)

Question 34

For the given function, find the indicated function value.
For g(x)= , find g(8).

A)8
B)7
C)9
D)6

Question 35

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

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

Question 36

For the given function, find the indicated function value.
For g(x)= , find g(-9).

A)9
B)-8
C)8
D)-9

Question 37

Identify the radicand.

A)x + 1
B)
C)
D)

Question 38

Graph.

A)
B)
C)
D)

Question 39

Identify the radicand.

A)6ab
B)
C)
D)

Question 40

Identify the radicand.

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

Question 41

Simplify.

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

Question 42

Simplify.
3 -64

A)-16
B)-4
C)16
D)4

Question 43

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

A)z + 5
B)
C)
D)

Question 44

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

A)13y
B)
C)
D)

Question 45

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

A)
B)
C)
D)

Question 46

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

A)
B)
C)
D)

Question 47

Simplify.

A)7
B)9
C)8
D)3

Question 48

Simplify.

A)-4
B)-16
C)16
D)4

Question 49

Graph.

A)
B)
C)
D)

Question 50

Simplify.

A)
B)
C)
D)

Question 51

Simplify.

A)-7
B)-14
C)-21
D)-49

Question 52

Graph.

A)
B)
C)
D)

Question 53

Graph.

A)
B)
C)
D)

Question 54

Simplify.

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

Question 55

Simplify.

A)0.16(x + 8)
B)
C)
D)0.4(x + 2)

Question 56

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

A)
B)
C)
D)

Question 57

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

A)
B)
C)
D)x

Question 58

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

A)
B)2x
C)
D)4x

Question 59

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

A)
B)
C)14y
D)

Question 60

Graph.

A)
B)
C)
D)

Question 61

Rewrite without rational exponents, and simplify, if possible.

A)22
B)44
C)11
D)5.5

Question 62

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

A)
B)
C)
D)4a + b

Question 63

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

A)
B)4x
C)Not a real number
D)

Question 64

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

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

Question 65

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

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

Question 66

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

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

Question 67

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

A)13
B)-13
C)169
D)Not a real number

Question 68

Rewrite without rational exponents, and simplify, if possible.

A)
B)
C)(mn)-8
D)

Question 69

Rewrite without rational exponents, and simplify, if possible.

A)20
B)100
C)3125
D)5

Question 70

Rewrite without rational exponents, and simplify, if possible.

A)32
B)6
C)16
D)36

Question 71

Rewrite without rational exponents, and simplify, if possible.

A)
B)
C)
D)

Question 72

For the given function, find the indicated function value.
For f(x)= find f(-171).

A)Does not exist as a real number
B)6
C)-7
D)7

Question 73

Rewrite without rational exponents, and simplify, if possible.

A)
B)35
C)32
D)1024

Question 74

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

A)-25
B)Not a real number
C)-5
D)-4

Question 75

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

A)
B)
C)a + b
D)

Question 76

Rewrite without rational exponents, and simplify, if possible.

A)
B)
C)
D)

Question 77

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

A)
B)
C)
D)

Question 78

Rewrite without rational exponents, and simplify, if possible.

A)243
B)81
C)2187
D)729

Question 79

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

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

Question 80

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

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