Deck 9: Radical Expressions and Equations

Question 1

Find the missing number.

Answer 1

A

Question 2

Simplify the radical expression. If appropriate, include absolute values.

Answer 2

B

Question 3

Approximate to the nearest thousandth, using a calculator.

Answer 3

C

Question 4

Simplify the radical expression. Indicate if the expression is not a real number.

Question 5

Simplify the radical expression. Indicate if the expression is not a real number.

Question 6

Simplify the radical expression. If appropriate, include absolute values.

Question 7

Find the missing number.

Question 8

Simplify the radical expression. If appropriate, include absolute values.

Question 9

Simplify the radical expression. Indicate if the expression is not a real number.

Question 10

Simplify the radical expression. Indicate if the expression is not a real number.

Question 11

Simplify the radical expression. If appropriate, include absolute values.

Question 12

Simplify the radical expression. Indicate if the expression is not a real number.

Question 13

Simplify the radical expression. If appropriate, include absolute values.

Question 14

Find the missing number.

Question 15

Simplify the radical expression. If appropriate, include absolute values.

Question 16

Find the missing number.

Question 17

Find the missing number.

Question 18

Simplify the radical expression. Indicate if the expression is not a real number.

Question 19

Simplify the radical expression. Indicate if the expression is not a real number.

Question 20

Simplify the radical expression. If appropriate, include absolute values.

Question 21

Approximate to the nearest thousandth, using a calculator.

A) -71.880
B) -5166.000
C) -71.875
D) -71.872

Question 22

Simplify the radical expression. Assume all variables represent nonnegative real numbers.

A) 25
B) -125
C) 5
D) -5

Question 23

Simplify.

Question 24

Approximate to the nearest thousandth, using a calculator.

A) 0.140
B) 1.400
C) 0.001
D) 0.014

Question 25

Simplify the radical expression. Assume all variables represent nonnegative real numbers.

A) 7
B) 19
C) 49
D) -7

Question 26

Simplify.

Question 27

Simplify.

A) 6
B) 12
C) 72
D) 36

Question 28

Approximate to the nearest thousandth, using a calculator.

A) 996.000
B) 31.564
C) 31.559
D) 31.556

Question 29

Simplify.

Question 30

Approximate to the nearest thousandth, using a calculator.

A) -13.000
B) -3.603
C) -3.606
D) -3.611

Question 31

Approximate to the nearest thousandth, using a calculator.

A) 0.004
B) 4.300
C) 0.430
D) 0.043

Question 32

Simplify the radical expression. Assume all variables represent nonnegative real numbers.

A) -9
B)27
C)-81
D) 9

Question 33

Simplify the radical expression. Assume all variables represent nonnegative real numbers.

A) -9B)-2
C) -3
D) Not a real number

Question 34

Approximate to the nearest thousandth, using a calculator.

A) 1.000
B) 1.526
C) 1.541
D) 1.513

Question 35

Simplify the radical expression. Assume all variables represent nonnegative real numbers.

A) 9
B) 2
C) 3
D) 4

Question 36

Simplify.

Question 37

Simplify the radical expression. Assume all variables represent nonnegative real numbers.

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

Question 38

Simplify the radical expression. Assume all variables represent nonnegative real numbers.

A) -27x
B) 3x
C)
D) -3x

Question 39

Simplify the radical expression. Assume all variables represent nonnegative real numbers.

A) 15
B) 6
C) -6
D)36

Question 40

Simplify the radical expression. Assume all variables represent nonnegative real numbers.

A) 2x2
B) 64
C) 4x2
D)

Question 41

Evaluate the radical function at the given value of the variable.

Question 42

Evaluate the radical function at the given value of the variable.

Question 43

Provide an appropriate response.
How many real square roots does any positive number have?

A) None
B) One
C) Two
D) It depends on the number

Question 44

Evaluate the radical function at the given value of the variable.

Question 45

Evaluate the radical function at the given value of the variable.

Question 46

Evaluate the radical function at the given value of the variable.

Question 47

Provide an appropriate response.
How many real square roots does any negative number have?

A) One
B) It depends on the number
C) None
D) Two

Question 48

Evaluate the radical function at the given value of the variable.

Question 49

Provide an appropriate response.
If a has exactly one real square root, what must be true of a?

A) a is equal to zero
B) a is nonnegative
C) a is negative
D) a is positive

Question 50

Provide an appropriate response.

Question 51

Evaluate the radical function at the given value of the variable.

Question 52

Provide an appropriate response.

Question 53

Evaluate the radical function at the given value of the variable.

Question 54

Evaluate the radical function at the given value of the variable.

Question 55

Provide an appropriate response.
How many real cube roots does any positive number have?

A) Three
B) None
C) One
D) Two

Question 56

Simplify.

Question 57

Evaluate the radical function at the given value of the variable.

Question 58

Evaluate the radical function at the given value of the variable.

Question 59

Provide an appropriate response.

Question 60

Evaluate the radical function at the given value of the variable.

Question 61

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 62

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 63

Simplify the radical expression. Assume all variables represent nonnegative real numbers.

Question 64

Provide an appropriate response.

Question 65

Simplify the radical expression. Assume all variables represent nonnegative real numbers.

Question 66

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
Explain why if n is odd, x1/n is defined even if x is negative.

Question 67

Simplify the radical expression. Assume all variables represent nonnegative real numbers.

Question 68

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 69

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 70

Provide an appropriate response.

Question 71

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 72

Provide an appropriate response.

Question 73

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 74

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
Explain how to evaluate

Question 75

Provide an appropriate response.

Question 76

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.

Question 77

Provide an appropriate response.

Question 78

Simplify the radical expression. Assume all variables represent nonnegative real numbers.

Question 79

Simplify the radical expression. Assume all variables represent nonnegative real numbers.

Question 80

Provide an appropriate response.