Question 1

Choose the proper symbol   ,   , or   to replace   . ​   ​

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 2

Simplify the expression by using the properties of radicals. Assume nonnegative variables. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

Perform the indicated operations and simplify. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 4

In a survey of the dining preferences of 46 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. ​
23 liked AL but not PT
11 liked AL only
39 liked AL
18 liked PT
27 liked DH
7 liked PT and AL but not DH
10 liked PT and DH
​
How many liked all three?
​

Accepted Answer

A) 26 
B) 14 
C) 101 
D) 9 
E) 46 
A) 26 
B) 14 
C) 101 
D) 9 
E) 46

Question 5

Perform the indicated operations and simplify. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 6

Compute and simplify so that only positive exponents remain. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 7

In calculus problems, the answers are frequently expected to be in a simple form with a radical instead of an exponent. Write the expression with radicals. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 8

The intensity of sound I (as a multiple of the average minimum threshold of hearing intensity) is related to the decibel level D (or loudness of sound) according to   . A decibel reading of 140 is at the threshold of pain. If   is the intensity of this threshold and   is the intensity when   , express the ratio   as a power of 10. ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

Rewrite the following so that only the positive exponents remain, and then simplify. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

Perform the indicated operations and simplify. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 11

Find   if the universal set   . ​   ,   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 12

The consumer expenditure   for a commodity is the product of its market price   and the number of units demanded   . Suppose that for a certain commodity, the consumer expenditure is given by   . Factor this in order to find an expression for the number of units demanded   . ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 13

Use your calculator to approximate the following expression. ​   ​

Accepted Answer

A) 4.43607384 
B) 0.22542456 
C) 2.25424561 
D) 0.02254246 
E) 44.3607384 
A) 4.43607384 
B) 0.22542456 
C) 2.25424561 
D) 0.02254246 
E) 44.3607384

Question 14

Find   , the intersection of sets A and B. ​     ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 15

Evaluate the following expression. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

Find   if the universal set   . ​   ,   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

Use   notation to indicate which of the sets E and F is a subset of the other. ​   ,   ​

Accepted Answer

A)    
B)    
C)    
D)   
And   
E)   
And   
A)    
B)    
C)    
D)   
And   
E)   
And

Question 18

Simplify the fraction. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

What is the constant term in the polynomial below? ​   ​

Accepted Answer

A) 2 
B) -5 
C) 5 
D) 9 
E) -9 
A) 2 
B) -5 
C) 5 
D) 9 
E) -9

Question 20

Perform the indicated operations and simplify. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Choose the proper symbol , , or to replace .

Simplify the expression by using the properties of radicals. Assume nonnegative variables.

Perform the indicated operations and simplify.

Perform the indicated operations and simplify.

Compute and simplify so that only positive exponents remain.

In calculus problems, the answers are frequently expected to be in a simple form with a radical instead of an exponent. Write the expression with radicals.

Rewrite the following so that only the positive exponents remain, and then simplify.

Perform the indicated operations and simplify.

Find if the universal set . ,

The consumer expenditure for a commodity is the product of its market price and the number of units demanded . Suppose that for a certain commodity, the consumer expenditure is given by . Factor this in order to find an expression for the number of units demanded .

Use your calculator to approximate the following expression.

Find , the intersection of sets A and B.

Evaluate the following expression.

Find if the universal set . ,

Use notation to indicate which of the sets E and F is a subset of the other. ,

Simplify the fraction. $Simplify the fraction. $

What is the constant term in the polynomial below?

Perform the indicated operations and simplify.

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

Exam 1: Algebraic Concepts

Choose the proper symbol , , or to replace . ​ ​

Simplify the expression by using the properties of radicals. Assume nonnegative variables. ​ ​

Perform the indicated operations and simplify. ​ ​

Perform the indicated operations and simplify. ​ ​

Compute and simplify so that only positive exponents remain. ​ ​

In calculus problems, the answers are frequently expected to be in a simple form with a radical instead of an exponent. Write the expression with radicals. ​ ​

Rewrite the following so that only the positive exponents remain, and then simplify. ​ ​

Perform the indicated operations and simplify. ​ ​

Find if the universal set . ​ , ​

The consumer expenditure for a commodity is the product of its market price and the number of units demanded . Suppose that for a certain commodity, the consumer expenditure is given by . Factor this in order to find an expression for the number of units demanded . ​

Use your calculator to approximate the following expression. ​ ​

Find , the intersection of sets A and B. ​ ​

Evaluate the following expression. ​ ​

Find if the universal set . ​ , ​

Use notation to indicate which of the sets E and F is a subset of the other. ​ , ​

Simplify the fraction. ​ ​

What is the constant term in the polynomial below? ​ ​

Perform the indicated operations and simplify. ​ ​

Linear Equations and Functions

Quadratic and Other Special Functions

Matrices

Inequalities and Linear Programming

Exponential and Logarithmic Functions

Mathematics of Finance

Introduction to Probability

Further Topics in Probability; Data Description

Derivatives

Applications of Derivatives

Derivatives Continued

Indefinite Integrals

Definite Integrals: Techniques of Integration

Functions of Two or More Variables

Filters

Choose the proper symbol , , or to replace .

Simplify the expression by using the properties of radicals. Assume nonnegative variables.

Perform the indicated operations and simplify.

Perform the indicated operations and simplify.

Compute and simplify so that only positive exponents remain.

In calculus problems, the answers are frequently expected to be in a simple form with a radical instead of an exponent. Write the expression with radicals.

Rewrite the following so that only the positive exponents remain, and then simplify.

Perform the indicated operations and simplify.

Find if the universal set . ,

The consumer expenditure for a commodity is the product of its market price and the number of units demanded . Suppose that for a certain commodity, the consumer expenditure is given by . Factor this in order to find an expression for the number of units demanded .

Use your calculator to approximate the following expression.

Find , the intersection of sets A and B.

Evaluate the following expression.

Find if the universal set . ,

Use notation to indicate which of the sets E and F is a subset of the other. ,

Simplify the fraction. $Simplify the fraction. $

What is the constant term in the polynomial below?

Perform the indicated operations and simplify.