Question 1

Evaluate the following polynomial for the indicated value of the variable.   , for   .

Accepted Answer

A) -3 
B) 5 
C) -15 
D) -7 
E) -1 
A) -3 
B) 5 
C) -15 
D) -7 
E) -1

Question 2

Use absolute value notation to describe the statement below. z is more than 4 units from 9 but less than 16 units from 9.

Accepted Answer

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

Question 3

Simplify the following complex fraction.

Accepted Answer

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

Question 4

The volume of a rectangular box is given by Volume=lwh where l is the length, w is the width, and h is the height of the box. Find the volume of a garage that has length of 22 feet, a width of 18 feet, and a height of 14 feet.

Accepted Answer

A) 4312 ft3 
B) 7128 ft3 
C) 10,648 ft3 
D) 5544 ft3 
E) 8712 ft3 
A) 4312 ft3 
B) 7128 ft3 
C) 10,648 ft3 
D) 5544 ft3 
E) 8712 ft3

Question 5

Evaluate the power of i .

Accepted Answer

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

Question 6

Which of the following expressions is a binomial of degree 8?
I:  
II:  
III:  
IV:  
V:

Accepted Answer

A) III 
B) V 
C) II 
D) IV 
E) I 
A) III 
B) V 
C) II 
D) IV 
E) I

Question 7

Find the rational expression in simplest form that represents the sum of the reciprocals of the consecutive integers   and   .

Accepted Answer

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

Question 8

Graph the following set.

Accepted Answer

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

Question 9

Write the complex number in standard form.

Accepted Answer

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

Question 10

Simplify the following complex fraction.

Accepted Answer

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

Question 11

Factor the trinomial below over the integers.

Accepted Answer

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

Question 12

Simplify the variable expression below.

Accepted Answer

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

Question 13

Evaluate   when   and   .

Accepted Answer

A) -160 
B) -16,000 
C) -4,096,000 
D) 12,800 
E) -4000 
A) -160 
B) -16,000 
C) -4,096,000 
D) 12,800 
E) -4000

Question 14

Determine the property of real numbers or the property of equality that is used below.

Accepted Answer

A) Symmetric Property of Equality 
B) Identity Property of Equality 
C) Reflexive Property of Equality 
D) Substitution Property of Equality 
E) Transitive Property of Equality 
A) Symmetric Property of Equality 
B) Identity Property of Equality 
C) Reflexive Property of Equality 
D) Substitution Property of Equality 
E) Transitive Property of Equality

Question 15

Simplify and write the complex number in standard form.

Accepted Answer

A) 16 
B) -16 
C) -24 
D) 24 
E) -36 
A) 16 
B) -16 
C) -24 
D) 24 
E) -36

Question 16

Simplify the following expression by rationalizing the denominator. Write the result in simplest form.

Accepted Answer

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

Question 17

Evaluate   for the values   ,   , and   . Write your answer as a complex number in standard form.

Accepted Answer

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

Question 18

Use the FOIL method to find the indicated product below.

Accepted Answer

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

Question 19

Simplify the following algebraic fraction. Write the answer with positive exponents.

Accepted Answer

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

Question 20

Perform the indicated operation below and simplify if possible by combining like terms. Write the result in standard form.

Accepted Answer

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

Evaluate the following polynomial for the indicated value of the variable. , for .

Use absolute value notation to describe the statement below. z is more than 4 units from 9 but less than 16 units from 9.

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

The volume of a rectangular box is given by Volume=lwh where l is the length, w is the width, and h is the height of the box. Find the volume of a garage that has length of 22 feet, a width of 18 feet, and a height of 14 feet.

Evaluate the power of i .

Which of the following expressions is a binomial of degree 8? I: II: III: IV: V:

Find the rational expression in simplest form that represents the sum of the reciprocals of the consecutive integers and .

Graph the following set.

Write the complex number in standard form.

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

Factor the trinomial below over the integers.

Simplify the variable expression below.

Evaluate when and .

Determine the property of real numbers or the property of equality that is used below.

Simplify and write the complex number in standard form.

Simplify the following expression by rationalizing the denominator. Write the result in simplest form.

Evaluate for the values , , and . Write your answer as a complex number in standard form.

Use the FOIL method to find the indicated product below.

Simplify the following algebraic fraction. Write the answer with positive exponents. $Simplify the following algebraic fraction. Write the answer with positive exponents.$

Perform the indicated operation below and simplify if possible by combining like terms. Write the result in standard form.

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Trigonometric Identities and Equations

Applications of Trigonometry

Topics in Analytic Geometry

Systems of Equations and Inequalities

Matrices

Sequences, Series, and Probability

Filters

Exam 12: Preliminary Concepts

Evaluate the following polynomial for the indicated value of the variable. , for .

Use absolute value notation to describe the statement below. z is more than 4 units from 9 but less than 16 units from 9.

Simplify the following complex fraction.

The volume of a rectangular box is given by Volume=lwh where l is the length, w is the width, and h is the height of the box. Find the volume of a garage that has length of 22 feet, a width of 18 feet, and a height of 14 feet.

Evaluate the power of i .

Which of the following expressions is a binomial of degree 8? I: II: III: IV: V:

Find the rational expression in simplest form that represents the sum of the reciprocals of the consecutive integers and .

Graph the following set.

Write the complex number in standard form.

Simplify the following complex fraction.

Factor the trinomial below over the integers.

Simplify the variable expression below.

Evaluate when and .

Determine the property of real numbers or the property of equality that is used below.

Simplify and write the complex number in standard form.

Simplify the following expression by rationalizing the denominator. Write the result in simplest form.

Evaluate for the values , , and . Write your answer as a complex number in standard form.

Use the FOIL method to find the indicated product below.

Simplify the following algebraic fraction. Write the answer with positive exponents.

Perform the indicated operation below and simplify if possible by combining like terms. Write the result in standard form.

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Trigonometric Identities and Equations

Applications of Trigonometry

Topics in Analytic Geometry

Systems of Equations and Inequalities

Matrices

Sequences, Series, and Probability

Filters

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

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

Simplify the following algebraic fraction. Write the answer with positive exponents. $Simplify the following algebraic fraction. Write the answer with positive exponents.$