Deck 9: Review of Prerequisites

Question 1

Write an absolute value expression to represent the distance between a and b on the number line:
.

Answer 1

Question 2

Given the expression , the value of b is called the and n is called the .

Answer 2

base, exponent or power

Question 3

Write the statement as an inequality.

Answer 3

C

Question 4

Choose the one alternative that best completes the statement or answers the question.
Determine whether the statement is true or false.

Question 5

The symbol represents the principal root of x.

Question 6

The expression equals , whereas is .

Question 7

A set can be defined using - notation by using a description of the set.

Question 8

N = {1, 2, 3, ...} is called the set of numbers.

Question 9

W = {0, 1, 2, 3, ...} is called the set of numbers.

Question 10

An number is a real number that cannot be expressed as a ratio of two integers.

Question 11

Choose the one alternative that best completes the statement or answers the question.
Determine whether the statement is true or false.

Question 12

Choose the one alternative that best completes the statement or answers the question.
Determine whether the statement is true or false.

Question 13

Z = {... , -3, -2, -1, 0, 1, 2, 3, ...} is called the set of .

Question 14

Choose the one alternative that best completes the statement or answers the question.
Determine whether the statement is true or false.

Question 15

A is a collection of items called elements.

Question 16

The of x is denoted by

Question 17

Listing elements in a set within set braces is called the method to define a set.

Question 18

Write the statement as an inequality.

Question 19

Real numbers that can be expressed as a ratio of two integers are called numbers.

Question 20

The statement x < y means that x lies to the of y on the number line.

Question 21

Write the word or phrase that best completes each statement or answers the question.
Graph the set and express it in interval notation.

Question 22

Determine whether the statement is true or false.

Question 23

For the following exercise, interval notation is given for several sets of real numbers. Graph the set and
write the corresponding set-builder notation.

Question 24

Express the set in interval notation.

Question 25

Determine the intersection . Express the answer in interval notation.

Question 26

Choose the one alternative that best completes the statement or answers the question.
Write the subset of real numbers in set-builder notation.

Question 27

Write the word or phrase that best completes each statement or answers the question.
Graph the set and express it in interval notation.

Question 28

Simplify by writing the expression without absolute value bars.

Question 29

Express the set in interval notation.

Question 30

Simplify by writing the expression without absolute value bars.

A) 1
B) -1

Question 31

Simplify by writing the expression without absolute value bars.

Question 32

Simplify by writing the expression without absolute value bars.

Question 33

Determine the intersection . Express the answer in interval notation.

Question 34

Express the set in interval notation.

Question 35

Express the set in interval notation.

Question 36

Determine whether the statement is true or false.

Question 37

List the elements of

Question 38

Express the set in interval notation.

Question 39

Determine the union . Express the answer in interval notation.

Question 40

Determine the union . Express the answer in interval notation.

Question 41

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

Question 42

Solve the problem.

Question 43

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

Question 44

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

Question 45

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

Question 46

Evaluate the expression for the given values of the variables.

Question 47

Apply the commutative property of multiplication.

Question 48

Solve the problem.
A tool rental store charges a flat fee of $9.00 to rent a chain saw, and $4.00 for each day, including the first. If you need to rent the saw and absolutely refuse to spend more than $49.00, what's the
Maximum number of days you can keep the saw?

A) 10 days
B) 7 days
C) 5 days
D) 14 days

Question 49

Write the word or phrase that best completes each statement or answers the question.
Clear parentheses and combine like terms.

Question 50

Solve the problem.
A tool rental store charges a flat fee of $6.50 to rent a chain saw, and $3.75 for each day, including the first. Write an equation that expresses the cost y of renting this saw if it is rented for x days.

Question 51

Solve the problem.
A new diet program guarantees you will lose 1.6 lb per week. A male with a starting weight of 220 lb is modeled by where t is the number of weeks after starting the diet.
Use the model to determine the male's weight after 19 weeks.

A) 208.6 lb
B) 170.6 lb
C) 189.6 lb
D) 218.4 lb

Question 52

Evaluate the expression.

Question 53

Write an absolute value expression to represent the distance between the two points on the number line
and simplify.

Question 54

Apply the associative property of multiplication.

Question 55

Solve the problem.

Question 56

Write the word or phrase that best completes each statement or answers the question.
Clear parentheses and combine like terms.

Question 57

Evaluate the root without using a calculator or note that root is not a real number.

Question 58

Evaluate the expression for the given values of the variables.
Under selected conditions, a sports car gets 14 mpg in city driving and 19 mpg for highway driving. The mode represents the amount of gasoline used (in gal) for c miles driven in the
City and h miles driven on the highway. Determine the amount of gas required to drive 98 mi in the
City and 399 mi on the highway.

A) 37 gal
B) 34 gal
C) 33 gal
D) 28 gal

Question 59

Evaluate the root without using a calculator or note that root is not a real number.

Question 60

Apply the associative property of addition.

Question 61

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
From the properties of exponents,

Question 62

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

Question 63

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

Question 64

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
From the properties of exponents,

Question 65

Write the set as a single interval.

Question 66

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
For a nonzero real number b, the value of .

Question 67

Simplify the expression. Write your answer with positive exponents only.

Question 68

Solve the problem.

Question 69

Simplify the expression. Write your answer with positive exponents only.

Question 70

Simplify the expression. Write your answer with positive exponents only.

Question 71

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

Question 72

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
A number expressed in the form nd n is an integer is said to be written
in notation.

Question 73

Simplify the expression. Write your answer with positive exponents only.

Question 74

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

Question 75

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
For a nonzero real number b, the value

Question 76

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

Question 77

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

Question 78

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

Question 79

Write the set as a single interval.

Question 80

Solve the problem.