Question 1

Use the following factorization formulas involving cubes to factor the polynomial below. ​     Perfect cube   Difference of two cubes   Sum of two cubes   ​   ​

Accepted Answer

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

Question 2

Choose the inequality that describes the graph below. ​

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Question 3

Perform the indicated operations and simplify. ​   ​

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Question 4

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

Accepted Answer

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B)    
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E)    
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Question 5

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

Accepted Answer

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Question 6

Choose the correct interval notation for this subset of the real numbers. ​   and

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Question 7

Choose the correct interval notation for this subset of the real numbers. ​

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Question 8

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

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Question 9

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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Question 10

Evaluate the following expression if it represents a real number. ​   ​

Accepted Answer

A) 8 
B) 16 
C) 2 
D) 1.26 
E) 2.52 
A) 8 
B) 16 
C) 2 
D) 1.26 
E) 2.52

Question 11

Simplify the complex fraction. ​   ​

Accepted Answer

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Question 12

Simplify by combining like terms. ​   ​

Accepted Answer

A) 0 
B)    
C)    
D)    
E)    
A) 0 
B)    
C)    
D)    
E)

Question 13

Name the type of interval expressed in the inequality. ​   ​

Accepted Answer

A) closed interval 
B) open interval 
C) half-open interval 
A) closed interval 
B) open interval 
C) half-open interval

Question 14

The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by   . A quake measuring 8.5 on the Richter scale would be severe. Express the intensity of such a quake in exponential and radical form. ​

Accepted Answer

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Question 15

Perform the indicated operations and simplify. ​   ​

Accepted Answer

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

Question 16

If the sets A and B are nonempty and disjoint, what does   equal? ​

Accepted Answer

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

Question 17

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. ​   ​

Accepted Answer

A) integer 
B) rational 
C) rational, integer 
D) rational, integer, natural 
E) irrational 
A) integer 
B) rational 
C) rational, integer 
D) rational, integer, natural 
E) irrational

Question 18

Factor the expression as a product of binomials. ​   ​

Accepted Answer

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

Question 19

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

Accepted Answer

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

Question 20

Choose the interval which corresponds to   . ​

Accepted Answer

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

Use the following factorization formulas involving cubes to factor the polynomial below. Perfect cube Difference of two cubes Sum of two cubes

Choose the inequality that describes the graph below.

Perform the indicated operations and simplify.

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

Write the expression in radical form. Do not simplify.

Choose the correct interval notation for this subset of the real numbers. and

Choose the correct interval notation for this subset of the real numbers.

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

Perform the indicated operations and simplify.

Evaluate the following expression if it represents a real number.

Simplify the complex fraction. $Simplify the complex fraction. $

Simplify by combining like terms.

Name the type of interval expressed in the inequality.

Perform the indicated operations and simplify.

If the sets A and B are nonempty and disjoint, what does equal?

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural.

Factor the expression as a product of binomials.

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

Choose the interval which corresponds to .

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

Use the following factorization formulas involving cubes to factor the polynomial below. ​ Perfect cube Difference of two cubes Sum of two cubes ​ ​

Choose the inequality that describes the graph below. ​

Perform the indicated operations and simplify. ​ ​

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

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

Choose the correct interval notation for this subset of the real numbers. ​ and

Choose the correct interval notation for this subset of the real numbers. ​

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

Perform the indicated operations and simplify. ​ ​

Evaluate the following expression if it represents a real number. ​ ​

Simplify the complex fraction. ​ ​

Simplify by combining like terms. ​ ​

Name the type of interval expressed in the inequality. ​ ​

Perform the indicated operations and simplify. ​ ​

If the sets A and B are nonempty and disjoint, what does equal? ​

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. ​ ​

Factor the expression as a product of binomials. ​ ​

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

Choose the interval which corresponds to . ​

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

Use the following factorization formulas involving cubes to factor the polynomial below. Perfect cube Difference of two cubes Sum of two cubes

Choose the inequality that describes the graph below.

Perform the indicated operations and simplify.

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

Write the expression in radical form. Do not simplify.

Choose the correct interval notation for this subset of the real numbers. and

Choose the correct interval notation for this subset of the real numbers.

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

Perform the indicated operations and simplify.

Evaluate the following expression if it represents a real number.

Simplify the complex fraction. $Simplify the complex fraction. $

Simplify by combining like terms.

Name the type of interval expressed in the inequality.

Perform the indicated operations and simplify.

If the sets A and B are nonempty and disjoint, what does equal?

Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural.

Factor the expression as a product of binomials.

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

Choose the interval which corresponds to .