Deck 8: Roots and Radicals

Question 1

Choose the one alternative that best completes the statement or answers the question.

Find the numerical value of the rational expression for the given value of x.

- , x = 3

A)
B)
C)
D) -

Answer 1

Question 2

Choose the one alternative that best completes the statement or answers the question.

Find the numerical value of the rational expression for the given value of x.

- , x = 2

A) -
B)
C) -
D)

Answer 2

-

Question 3

Choose the one alternative that best completes the statement or answers the question.

Find the numerical value of the rational expression for the given value of x.

- , x = 3

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

Answer 3

- 3

Question 4

Choose the one alternative that best completes the statement or answers the question.

Find the numerical value of the rational expression for the given value of x.

- , x = 3

A)
B) -
C) -
D)

Question 5

Choose the one alternative that best completes the statement or answers the question.

Find the numerical value of the rational expression for the given value of x.

- , x = -4

A)
B) -
C) -
D) -

Question 6

Choose the one alternative that best completes the statement or answers the question.

Find the numerical value of the rational expression for the given value of x.

- , x = -3

A) -
B)
C) -
D)

Question 7

Find all values that make the expression undefined.

-

A) -8
B) 0
C) Never undefined
D) 8

Question 8

Find all values that make the expression undefined.

-

A) -9
B) 0
C) Never undefined
D) 9

Question 9

Find all values that make the expression undefined.

-

A) Never undefined
B) 3
C) 0.333
D) 0

Question 10

Find all values that make the expression undefined.

-

A) -2
B) 2
C) Never undefined
D) 2, 7

Question 11

Find all values that make the expression undefined.

-

A) 2
B) 12
C) -6
D) 0

Question 12

Find all values that make the expression undefined.

-

A) 10, -9
B) 5, -5
C) 0
D) -10, -9

Question 13

Find all values that make the expression undefined.

-

A) 8, -8
B) 3, 5
C) -3, -5
D) 0

Question 14

Find all values that make the expression undefined.

-

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

Question 15

Find all values that make the expression undefined.

-

A) 3, -3
B) 0
C) -3
D) Never undefined

Question 16

Write the rational expression in lowest terms.

-

A) 12
B) 12k²
C) 3k
D) 3k²

Question 17

Write the rational expression in lowest terms.

-

A)
B)
C)
D)

Question 18

Write the rational expression in lowest terms.

-

A)
B)
C) 1
D) 4

Question 19

Write the rational expression in lowest terms.

-

A)
B)
C)
D)

Question 20

Write the rational expression in lowest terms.

-

A)
B)
C)
D)

Question 21

Write the rational expression in lowest terms.

-

A)
B) -
C)
D)

Question 22

Write the rational expression in lowest terms.

-

A)
B)
C)
D) -

Question 23

Write the rational expression in lowest terms.

-

A)
B)
C) -
D)

Question 24

Write the rational expression in lowest terms.

-

A)
B)
C)
D)

Question 25

Write the rational expression in lowest terms.

-

A)
B)
C)
D)

Question 26

Write the rational expression in lowest terms.

-

A) 1
B)
C)
D) -1

Question 27

Write the rational expression in lowest terms.

-

A)
B)
C)
D)

Question 28

Write the rational expression in lowest terms.

-

A)
B)
C)
D)

Question 29

Write the rational expression in lowest terms.

-

A)
B)
C)
D)

Question 30

Write the rational expression in lowest terms.

-

A)
B)
C)
D)

Question 31

Write the rational expression in lowest terms.

-

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

Question 32

Write the rational expression in lowest terms.

-

A) 1
B) -1
C) -m
D) Already in lowest terms

Question 33

Write the rational expression in lowest terms.

-

A) 1
B) -1
C) -
D)

Question 34

Write the rational expression in lowest terms.

-

A) -(m + 4)
B) m
C) -m
D) m + 4

Question 35

Write the rational expression in lowest terms.

-

A) -r + b
B) -r - b
C) r + b
D) -1

Question 36

Write the rational expression in lowest terms.

-

A) 1
B) -1
C) -t
D) Already in lowest terms

Question 37

Write the rational expression in lowest terms.

-

A) -1
B) s - y
C) s + y
D) Already in lowest terms

Question 38

Find the expression that is equivalent to the given rational expression.

--

A) -
B)
C) -
D) -

Question 39

Find the expression that is equivalent to the given rational expression.

--

A) -
B) -
C)
D) -

Question 40

Find the expression that is equivalent to the given rational expression.

--

A)
B)
C)
D)

Question 41

Find the expression that is equivalent to the given rational expression.

--

A)
B)
C)
D)

Question 42

Find the expression that is equivalent to the given rational expression.

--

A)
B)
C)
D)

Question 43

Find the expression that is equivalent to the given rational expression.

-

A)
B)
C)
D) -

Question 44

Find the expression that is equivalent to the given rational expression.

-

A)
B)
C) -
D)

Question 45

Find the expression that is equivalent to the given rational expression.

--

A)
B) -
C)
D)

Question 46

Find the expression that is equivalent to the given rational expression.

--

A)
B)
C)
D) -

Question 47

Find the expression that is equivalent to the given rational expression.

-

A)
B)
C) -
D) -

Question 48

Solve the problem.

-The area of the rectangle is represented by y² + 14y + 49. What is the width?
Y + 7

A) y + 7
B) y + 8
C) y - 7
D) y - 8

Question 49

Solve the problem.

-The area of the rectangle is represented by y² - 4y - 21. What is the length?

A) y + 7
B) y - 3
C) y - 7
D) y + 3

Question 50

Solve the problem.

-If the average cost per unit C(x) to produce x units of plywood is given by what is the unit cost for 50 units?

A) $ 0.60
B) $ 30.00
C) -$20.00
D) $ 15.00

Question 51

Write the word or phrase that best completes each statement or answers the question.

Provide an appropriate response
-For x ≠ 8, the rational expression is equal to 5. Can the same be said for ? Explain why or why not.

Question 52

Write the word or phrase that best completes each statement or answers the question.

Provide an appropriate response
-If 2 is substituted for x in the rational expression , the result is . An often-heard statement is "Any number divided by itself is 1." Does this mean that this expression is equal to 1 for ? Explain why or why not.

Question 53

Write the word or phrase that best completes each statement or answers the question.

Provide an appropriate response

-How can you tell just by looking at a rational expression if it is equal to -1?

Question 54

Write the word or phrase that best completes each statement or answers the question.

Provide an appropriate response

-Why is not equal to 2?

Question 55

Choose the one alternative that best completes the statement or answers the question.

Multiply. Write the answer in lowest terms.

- .

A)
B)
C)
D)

Question 56

Choose the one alternative that best completes the statement or answers the question.

Multiply. Write the answer in lowest terms.

- .

A)
B)
C)
D)

Question 57

Choose the one alternative that best completes the statement or answers the question.

Multiply. Write the answer in lowest terms.

-https://storage.examlex.com/TB9570/.

A)
B)
C)
D) 20z

Question 58

Choose the one alternative that best completes the statement or answers the question.

Multiply. Write the answer in lowest terms.

- .

A) -
B) -
C)
D)

Question 59

Divide. Write the answer in lowest terms.

- ÷

A)
B)
C)
D)

Question 60

Divide. Write the answer in lowest terms.

- ÷

A)
B)
C)
D)

Question 61

Divide. Write the answer in lowest terms.

- ÷

A)
B)
C)
D)

Question 62

Divide. Write the answer in lowest terms.

- ÷

A) -
B) -
C)
D) -

Question 63

Multiply or divide as indicated. Write the answer in lowest terms.

- .

A)
B)
C)
D) 30x

Question 64

Multiply or divide as indicated. Write the answer in lowest terms.

- ÷

A)
B) y + 3
C)
D)

Question 65

Multiply or divide as indicated. Write the answer in lowest terms.

- .

A) -
B)
C)
D) -

Question 66

Multiply or divide as indicated. Write the answer in lowest terms.

- .

A)
B)
C)
D)

Question 67

Multiply or divide as indicated. Write the answer in lowest terms.

- ÷

A)
B)
C)
D)

Question 68

Multiply or divide as indicated. Write the answer in lowest terms.

- ÷

A)
B)
C)
D)

Question 69

Multiply or divide as indicated. Write the answer in lowest terms.

- ÷

A) 5
B)
C)
D)

Question 70

Multiply or divide as indicated. Write the answer in lowest terms.

- .

A)
B)
C)
D)

Question 71

Multiply or divide as indicated. Write the answer in lowest terms.

-https://storage.examlex.com/TB9570/.

A)
B) 1
C)
D)

Question 72

Multiply or divide as indicated. Write the answer in lowest terms.

- .

A)
B)
C)
D)

Question 73

Multiply or divide as indicated. Write the answer in lowest terms.

- ÷

A)
B) z + 3
C)
D)

Question 74

Multiply or divide as indicated. Write the answer in lowest terms.

- .

A)
B) 2 - a - b
C)
D)

Question 75

Multiply or divide as indicated. Write the answer in lowest terms.

- ÷

A)
B) z - 5
C)
D)

Question 76

Multiply or divide as indicated. Write the answer in lowest terms.

- .

A)
B) -
C)
D)

Question 77

Multiply or divide as indicated. Write the answer in lowest terms.

- .

A)
B)
C)
D)

Question 78

Multiply or divide as indicated. Write the answer in lowest terms.

- ÷

A)
B)
C)
D)

Question 79

Multiply or divide as indicated. Write the answer in lowest terms.

- ÷

A)
B)
C)
D)

Question 80

Multiply or divide as indicated. Write the answer in lowest terms.

- ÷

A)
B)
C)
D)