Question 1

Perform the operation and write the result in standard form.

Accepted Answer

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

Question 2

Determine which numbers in the set are irrational numbers.   ,   , 0,   ,   ,   ,

Accepted Answer

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

Question 3

Use inequality notation to describe the set. v is at least -16 but less than 10

Accepted Answer

A)  -16 $\le$ v $\le$10 
B)  10 $\le$ v $\lt$ -16 
C)  -16 $\lt$ v $\lt$ 10 
D)  -16 $\le$ v $\lt$ 10 
E)  10 $\lt$ v $\le$ -16 
A)  -16 $\le$ v $\le$10 
B)  10 $\le$ v $\lt$ -16 
C)  -16 $\lt$ v $\lt$ 10 
D)  -16 $\le$ v $\lt$ 10 
E)  10 $\lt$ v $\le$ -16

Question 4

Evaluate the expression.

Accepted Answer

A)  5 
B)  -5 
C)  11 
D)  -11 
E)  24 
A)  5 
B)  -5 
C)  11 
D)  -11 
E)  24

Question 5

Factor the trinomial.

Accepted Answer

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E)

Question 6

Perform the division and simplify.

Accepted Answer

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Question 7

Completely factor the expression.

Accepted Answer

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Question 8

Factor out the common factor.

Accepted Answer

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Question 9

Factor the trinomial.

Accepted Answer

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Question 10

Find the domain of the expression.

Accepted Answer

A)  all real numbers except x = 2 and x = 6 
B)  all real numbers except x = 0 
C)  x = 2 or x = 6 
D)  x > 0 
E)  all real numbers 
A)  all real numbers except x = 2 and x = 6 
B)  all real numbers except x = 0 
C)  x = 2 or x = 6 
D)  x > 0 
E)  all real numbers

Question 11

Perform the operations and simplify.

Accepted Answer

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Question 12

Rationalize the denominator. Then simplify your answer.

Accepted Answer

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B)    
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E)    
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B)    
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D)    
E)

Question 13

Identify the degree and leading coefficient of the polynomial.

Accepted Answer

A)  degree: 3 leading coefficient: 3 
B)  degree: 2 leading coefficient: 6 
C)  degree: 3 leading coefficient: 6 
D)  degree: 2 leading coefficient: -6 
E)  degree: 2 leading coefficient: 1 
A)  degree: 3 leading coefficient: 3 
B)  degree: 2 leading coefficient: 6 
C)  degree: 3 leading coefficient: 6 
D)  degree: 2 leading coefficient: -6 
E)  degree: 2 leading coefficient: 1

Question 14

Perform the division and simplify.

Accepted Answer

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

Question 15

Evaluate the expression without using a calculator.

Accepted Answer

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

Question 16

Write the rational expression in simplest form.

Accepted Answer

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

Question 17

Factor the trinomial.

Accepted Answer

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

Question 18

Determine which numbers in the set are integers. 2.06, 6,   , 0,   , -19

Accepted Answer

A)  6, 0 
B)  6,   , 0, -19 
C)  6, 0,   , -19 
D)  2.06, 6, 0,   , -19 
E)  6, 0, -19 
A)  6, 0 
B)  6,   , 0, -19 
C)  6, 0,   , -19 
D)  2.06, 6, 0,   , -19 
E)  6, 0, -19

Question 19

Identify the rules of algebra illustrated from left to right by the following statement.

Accepted Answer

A)  commutative property of addition; additive inverse property; additive identity property 
B)  distributive property; additive identity property; additive inverse property 
C)  commutative property of addition; additive identity property; additive inverse property 
D)  associative property of addition; additive identity property; additive inverse property 
E)  associative property of addition; additive inverse property; additive identity property 
A)  commutative property of addition; additive inverse property; additive identity property 
B)  distributive property; additive identity property; additive inverse property 
C)  commutative property of addition; additive identity property; additive inverse property 
D)  associative property of addition; additive identity property; additive inverse property 
E)  associative property of addition; additive inverse property; additive identity property

Question 20

Simplify the complex fraction.

Accepted Answer

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

Perform the operation and write the result in standard form.

Determine which numbers in the set are irrational numbers. , , 0, , , ,

Use inequality notation to describe the set. v is at least -16 but less than 10

Evaluate the expression.

Factor the trinomial.

Perform the division and simplify.

Completely factor the expression.

Factor out the common factor.

Factor the trinomial.

Find the domain of the expression.

Perform the operations and simplify.

Rationalize the denominator. Then simplify your answer.

Identify the degree and leading coefficient of the polynomial.

Perform the division and simplify.

Evaluate the expression without using a calculator.

Write the rational expression in simplest form.

Factor the trinomial.

Determine which numbers in the set are integers. 2.06, 6, , 0, , -19

Identify the rules of algebra illustrated from left to right by the following statement.

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

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Filters

Exam 11: Prerequisites

Perform the operation and write the result in standard form.

Determine which numbers in the set are irrational numbers. , , 0, , , ,

Use inequality notation to describe the set. v is at least -16 but less than 10

Evaluate the expression.

Factor the trinomial.

Perform the division and simplify.

Completely factor the expression.

Factor out the common factor.

Factor the trinomial.

Find the domain of the expression.

Perform the operations and simplify.

Rationalize the denominator. Then simplify your answer.

Identify the degree and leading coefficient of the polynomial.

Perform the division and simplify.

Evaluate the expression without using a calculator.

Write the rational expression in simplest form.

Factor the trinomial.

Determine which numbers in the set are integers. 2.06, 6, , 0, , -19

Identify the rules of algebra illustrated from left to right by the following statement.

Simplify the complex fraction.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Filters

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