Question 1

Evaluate the following expression. ​   ​

Accepted Answer

A) 13 
B) 7 
C) -13 
D) -7 
E) -9 
A) 13 
B) 7 
C) -13 
D) -7 
E) -9

Question 2

Write the expression in radical form. Do not simplify. ​   ​

Accepted Answer

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

Question 3

Use the properties of exponents to determine the value for x that makes the equation true. ​   ​

Accepted Answer

A)    
B) -21 
C)    
D) 21 
E)    
A)    
B) -21 
C)    
D) 21 
E)

Question 4

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

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
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D)    
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Question 5

Choose the graph that represents this subset of the real numbers. ​   ​

Accepted Answer

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

Question 6

Perform the indicated operations and simplify. ​

Accepted Answer

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

Question 7

Simplify by combining like terms. ​   ​

Accepted Answer

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

Question 8

In many applications, it is often necessary to write expressions in the form   , where c is a constant and n is an integer. Write the expression below in this form. ​   ​

Accepted Answer

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

Question 9

Use the rules of exponents to simplify the expression. ​   ​

Accepted Answer

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

Question 10

Perform the indicated operations with expressions involving fractional exponents and then simplify. ​

Accepted Answer

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

Question 11

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 12

Factor the expression completely. ​   ​

Accepted Answer

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

Question 13

Write the expression in radical form. Do not simplify. ​   ​

Accepted Answer

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

Question 14

Perform the indicated operations and simplify. ​

Accepted Answer

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B)    
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Question 15

Use   or   in blank place to indicate whether the given object is an element of the given set. ​   ​

Accepted Answer

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B)    
A)    
B)

Question 16

Assume that   ,   and that U is the universal set of natural numbers less than 11. Find   . ​

Accepted Answer

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

Question 17

A polynomial is an expression of form   , where   is a positive integer. For the polynomial   what is   ?
​

Accepted Answer

A) 0 
B) 9 
C) -2 
D) -11 
E) 3 
A) 0 
B) 9 
C) -2 
D) -11 
E) 3

Question 18

Suppose that you have $6,000 to invest, and you invest x dollars at 10% and the remainder at 8%. Choose the expression that represents the amount invested at 8%.

Accepted Answer

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

Question 19

Use the properties of exponents to simplify the expression so that only positive exponents remain. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
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B)    
C)    
D)    
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Question 20

Choose the inequality that describes the interval below. ​   ​

Accepted Answer

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B)    
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D)    
E)    
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B)    
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D)    
E)

Evaluate the following expression.

Write the expression in radical form. Do not simplify.

Use the properties of exponents to determine the value for x that makes the equation true.

Find , the intersection of sets A and B. and

Choose the graph that represents this subset of the real numbers.

Perform the indicated operations and simplify.

Simplify by combining like terms.

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

Use the rules of exponents to simplify the expression.

Perform the indicated operations with expressions involving fractional exponents and then simplify. $Perform the indicated operations with expressions involving fractional exponents and then simplify. $

Perform the indicated operations and simplify.

Factor the expression completely.

Write the expression in radical form. Do not simplify.

Perform the indicated operations and simplify.

Use or in blank place to indicate whether the given object is an element of the given set.

Assume that , and that U is the universal set of natural numbers less than 11. Find .

A polynomial is an expression of form , where is a positive integer. For the polynomial what is ?

Suppose that you have $6,000 to invest, and you invest x dollars at 10% and the remainder at 8%. Choose the expression that represents the amount invested at 8%.

Use the properties of exponents to simplify the expression so that only positive exponents remain.

Choose the inequality that describes the interval below.

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

Evaluate the following expression. ​ ​

Write the expression in radical form. Do not simplify. ​ ​

Use the properties of exponents to determine the value for x that makes the equation true. ​ ​

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

Choose the graph that represents this subset of the real numbers. ​ ​

Perform the indicated operations and simplify. ​

Simplify by combining like terms. ​ ​

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form. ​ ​

Use the rules of exponents to simplify the expression. ​ ​

Perform the indicated operations with expressions involving fractional exponents and then simplify. ​

Perform the indicated operations and simplify. ​ ​

Factor the expression completely. ​ ​

Write the expression in radical form. Do not simplify. ​ ​

Perform the indicated operations and simplify. ​

Use or in blank place to indicate whether the given object is an element of the given set. ​ ​

Assume that , and that U is the universal set of natural numbers less than 11. Find . ​

A polynomial is an expression of form , where is a positive integer. For the polynomial what is ? ​

Suppose that you have $6,000 to invest, and you invest x dollars at 10% and the remainder at 8%. Choose the expression that represents the amount invested at 8%.

Use the properties of exponents to simplify the expression so that only positive exponents remain. ​ ​

Choose the inequality that describes the interval below. ​ ​

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

Evaluate the following expression.

Write the expression in radical form. Do not simplify.

Use the properties of exponents to determine the value for x that makes the equation true.

Find , the intersection of sets A and B. and

Choose the graph that represents this subset of the real numbers.

Perform the indicated operations and simplify.

Simplify by combining like terms.

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

Use the rules of exponents to simplify the expression.

Perform the indicated operations with expressions involving fractional exponents and then simplify. $Perform the indicated operations with expressions involving fractional exponents and then simplify. $

Perform the indicated operations and simplify.

Factor the expression completely.

Write the expression in radical form. Do not simplify.

Perform the indicated operations and simplify.

Use or in blank place to indicate whether the given object is an element of the given set.

Assume that , and that U is the universal set of natural numbers less than 11. Find .

A polynomial is an expression of form , where is a positive integer. For the polynomial what is ?

Use the properties of exponents to simplify the expression so that only positive exponents remain.

Choose the inequality that describes the interval below.