Deck 6: Radical Expressions, Equations and Functions

Question 1

Solve.

A)
B)
C)
D)
E) none of these

Answer 1

Question 2

Solve.

A)
B)
C)
D)
E) no real solution

Answer 2

Question 3

Solve.

A)
B)
C)
D)
E) no real solution

Answer 3

Question 4

Solve.

A)
B)
C)
D)
E) no real solution

Question 5

Solve.

A)
B)
C)
D)
E) no real solution

Question 6

Solve.

A)
B)
C)
D)
E) no real solution

Question 7

Solve.

A)
B)
C)
D)
E) no real solution

Question 8

Solve.

A)
B)
C)
D)
E) no real solution

Question 9

Solve.

A)
B)
C)
D)
E) no real solution

Question 10

Solve.

A)
B)
C)
D)
E) no real solution

Question 11

Solve.

A)
B)
C)
D)
E) no real solution

Question 12

Solve.

A)
B)
C)
D)
E) no real solution

Question 13

Solve.

A)
B)
C)
D)
E) no real solution

Question 14

The time T (in seconds) required for a pendulum to make one complete swing back and forth is approximated by the formula , where L is the length of the pendulum. T is called the period of the pendulum. Use To find the length in feet of a pendulum with a period of 6 seconds. Round your answer to the nearest foot.

A) 91 ft
B) 31 ft
C) 29 ft
D) 30 ft
E) none of these

Question 15

The airline cost for Thousand passengers to travel from New York to Atlanta is given by the formula , where Is the cost measured in millions of dollars. Find the number of passengers who traveled from New York to Atlanta if the total cost to the airline was $2 million.

A) 30,000 passengers
B) 20,000 passengers
C) 40,000 passengers
D) 10,000 passengers
E) none of these

Question 16

Write the radical expression as an exponential expression.

A)
B)
C)
D)
E) none of these

Question 17

Write the radical expression as an exponential expression.

A)
B)
C)
D)
E) none of these

Question 18

Write the radical expression as an exponential expression.

A)
B)
C)
D)
E) none of these

Question 19

Rewrite the expression as a single radical.

A)
B)
C)
D)
E) none of these

Question 20

Rewrite the expression as a single radical.

A)
B)
C)
D)
E) none of these

Question 21

Simplify and write the answer in exponential notation.

A)
B)
C)
D)
E) none of these

Question 22

Simplify and write your answer in exponential notation.

A)
B)
C)
D)
E) none of these

Question 23

Simplify and write your answer in exponential notation.

A)
B)
C)
D)
E) none of these

Question 24

Simplify. Exponents must be positive and in lowest terms.

A)
B)
C)
D)
E) none of these

Question 25

Simplify. Exponents must be positive and in lowest terms.

A)
B)
C)
D)
E) none of these

Question 26

Write the radical expression as an exponential expression and simplify.

A)
B)
C)
D)
E) none of these

Question 27

Simplify. Assume that all factors of the radicand are nonnegative.

A)
B)
C)
D) already simplified
E) none of these

Question 28

Simplify. Assume that all factors of the radicand are nonnegative.

A)
B)
C)
D) already simplfied
E) none of these

Question 29

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 30

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 31

Simplify. Assume that all factors of the radicand are nonnegative.

A)
B)
C)
D) already simplified
E) none of these

Question 32

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 33

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 34

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 35

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 36

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 37

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 38

Simplfy.

A)
B)
C)
D) already simplified
E) none of these

Question 39

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 40

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 41

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 42

Simplify the expression.

A)
B)
C)
D) already simplified
E) none of these

Question 43

Simplify the expression.

A)
B)
C)
D) already simplified
E) none of these

Question 44

Simplify the expression.

A)
B)
C)
D) already simplified
E) none of these

Question 45

Simplify. Assume that all factors of radicands are nonnegative.

A)
B)
C)
D) already simplified
E) none of these

Question 46

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 47

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 48

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 49

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 50

Multiply and simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 51

Multiply and simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 52

Multiply and simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 53

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 54

Multiply and simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 55

Find the product and simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 56

Evaluate the expression.

A)
B)
C)
D) not a real number
E) none of these

Question 57

Evaluate the expression.

A)
B)
C)
D) not a real number
E) none of these

Question 58

Evalute the expression.

A)
B)
C)
D) not a real number
E) none of these

Question 59

Evaluate.

A)
B)
C)
D) not a real number
E) none of these

Question 60

Evaluate.

A)
B)
C)
D) not a real number
E) none of these

Question 61

Simplify the expression. Assume that all factors of the radicand are nonnegative.

A)
B)
C)
D) already simplified
E) none of these

Question 62

Simplify the expression. Assume that all factors of the radicand are nonnegative.

A)
B)
C)
D) already simplified
E) none of these

Question 63

Simplify. Assume that all factors of the radicand are nonnegative.

A)
B)
C)
D) already simplified
E) none of these

Question 64

Simplify. Assume that all factors of the radicand are nonnegative.

A)
B)
C)
D) already simplified
E) none of these

Question 65

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 66

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 67

Simplify. Assume that all factors of the radicand are nonnegative.

A)
B)
C)
D) already simplified
E) none of these

Question 68

Simplify. Assume that all factors of the radicand are nonnegative.

A)
B)
C)
D) already simplified
E) none of these

Question 69

Simplify . Assume that all factors of the radicand are nonnegative.

A)
B)
C)
D) already simplified
E) none of these

Question 70

Simplify.

A)
B)
C)
D) already simplified
E) none of these

Question 71

A farmer is building a triangular fence. He has enough fencing for two sides of the fence. One side of the fence has length 5 feet, and the other side has length 12 feet. The amount of fencing needed for the third side is given by the fomula . Find the amount of fencing needed to be purchased by the farmer for the third side.

A) 13 feet
B) 12 feet
C) 5 feet
D) 169 feet
E) none of these