Question 1

Write the expression below as a complex number in standard form.

Accepted Answer

A) -5 
B) 5 i 
C) 5 
D) 1- 5 i 
E) -5 i 
A) -5 
B) 5 i 
C) 5 
D) 1- 5 i 
E) -5 i B

Question 2

Simplify: -5(2 w - 2 x )- 2( w - 5 x )

Accepted Answer

A) 3 w + 20 x 
B) -12 w + 20 x 
C) -4 w - 14 x 
D) -5 w - 7 x 
E) -21 w + 49 x 
A) 3 w + 20 x 
B) -12 w + 20 x 
C) -4 w - 14 x 
D) -5 w - 7 x 
E) -21 w + 49 x B

Question 3

Write each expression without absolute value symbols.

Accepted Answer

A) 9 
B)    
C)    
D)    
E)    
A) 9 
B)    
C)    
D)    
E)    A

Question 4

Simplify and write the following complex number in standard form.

Accepted Answer

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

Question 5

Simplify and write the following complex number in standard form.

Accepted Answer

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

Question 6

Write the following expression as a complex number in standard form.

Accepted Answer

A)    +   i 
B)      i 
C) 5+ 6 i 
D)      i 
E)      i 
A)    +   i 
B)      i 
C) 5+ 6 i 
D)      i 
E)      i

Question 7

Simplify and write the following complex number in standard form.

Accepted Answer

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

Question 8

Use the general factoring strategy to completely factor the following polynomial. It the polynomial does not factor, then state that it is nonfactorable over the integers.

Accepted Answer

A)    
B) Nonfactorable over the integers. 
C)    
D)    
E)    
A)    
B) Nonfactorable over the integers. 
C)    
D)    
E)

Question 9

Use absolute value notation to describe the distance between a and -4.

Accepted Answer

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

Question 10

Graph the following set.

Accepted Answer

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

Question 11

Change the following number from scientific notation to decimal notation.

Accepted Answer

A) 29 
B) 0.29 
C) 0.0029 
D) 2.9 
E) 0.029 
A) 29 
B) 0.29 
C) 0.0029 
D) 2.9 
E) 0.029

Question 12

Write the interval   in set notation.

Accepted Answer

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

Question 13

Evaluate   when   and   .

Accepted Answer

A) -101 
B) 400 
C) -2 
D) 4 
E) -200 
A) -101 
B) 400 
C) -2 
D) 4 
E) -200

Question 14

Write the exponential expression below in simplest form.

Accepted Answer

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

Question 15

Simplify the following rational expression.

Accepted Answer

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

Question 16

Last month, Jacob traveled from Miami to New Orleans by train and made two stops along the way. The average speed for the three legs of his trip is defined as   ,   and   respectively. The average speed for the entire trip is given by   . a. Simplify the complex fraction. b. Find the average speed for the entire trip when   . Round to nearest mph.

Accepted Answer

A) a.   ; b. 94 mph 
B) a.   ; b. 95 mph 
C) a.   ; b. 95 mph 
D) a.   ; b. 92 mph 
E) a.   ; b. 92 mph 
A) a.   ; b. 94 mph 
B) a.   ; b. 95 mph 
C) a.   ; b. 95 mph 
D) a.   ; b. 92 mph 
E) a.   ; b. 92 mph

Question 17

The number of committees consisting of exactly 3 people that can be formed from a group of n people is given by the polynomial   . Find the number of committees consisting of exactly 3 people that can be formed from a group of 45 people. Round to the nearest whole number.

Accepted Answer

A) 14,528 
B) 16,215 
C) 14,175 
D) 16,208 
E) 14,190 
A) 14,528 
B) 16,215 
C) 14,175 
D) 16,208 
E) 14,190

Question 18

The minimum number of calories necessary, per day, for a female to maintain basic life processes such as blood circulation, body temperature and breathing can be approximated by the formula   , where w is the person s weight in pounds, h is their height in inches and a is their age in years. Approximate the calories needed to sustain life for a 33 year old female weighing 124 pounds and 4 feet 11 inches tall. Round to nearest whole number.

Accepted Answer

A) 808 calories 
B) 1227 calories 
C) 1829 calories 
D) 1367 calories 
E) 1689 calories 
A) 808 calories 
B) 1227 calories 
C) 1829 calories 
D) 1367 calories 
E) 1689 calories

Question 19

Simplify and write the following complex number in standard form.

Accepted Answer

A) 0 
B) 25- i 
C) 26 
D) -10 i 
E) 10 
A) 0 
B) 25- i 
C) 26 
D) -10 i 
E) 10

Question 20

Perform the following operation, given A is any set.

Accepted Answer

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

Write the expression below as a complex number in standard form.

Simplify: -5(2 w - 2 x )- 2( w - 5 x )

Write each expression without absolute value symbols.

Simplify and write the following complex number in standard form.

Simplify and write the following complex number in standard form.

Write the following expression as a complex number in standard form.

Simplify and write the following complex number in standard form.

Use the general factoring strategy to completely factor the following polynomial. It the polynomial does not factor, then state that it is nonfactorable over the integers.

Use absolute value notation to describe the distance between a and -4.

Graph the following set.

Change the following number from scientific notation to decimal notation.

Write the interval in set notation.

Evaluate when and .

Write the exponential expression below in simplest form.

Simplify the following rational expression.

The number of committees consisting of exactly 3 people that can be formed from a group of n people is given by the polynomial . Find the number of committees consisting of exactly 3 people that can be formed from a group of 45 people. Round to the nearest whole number.

Simplify and write the following complex number in standard form.

Perform the following operation, given A is any set.

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

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Exam 12: Preliminary Concepts

Write the expression below as a complex number in standard form.

Simplify: -5(2 w - 2 x )- 2( w - 5 x )

Write each expression without absolute value symbols.

Simplify and write the following complex number in standard form.

Simplify and write the following complex number in standard form.

Write the following expression as a complex number in standard form.

Simplify and write the following complex number in standard form.

Use the general factoring strategy to completely factor the following polynomial. It the polynomial does not factor, then state that it is nonfactorable over the integers.

Use absolute value notation to describe the distance between a and -4.

Graph the following set.

Change the following number from scientific notation to decimal notation.

Write the interval in set notation.

Evaluate when and .

Write the exponential expression below in simplest form.

Simplify the following rational expression.

The number of committees consisting of exactly 3 people that can be formed from a group of n people is given by the polynomial . Find the number of committees consisting of exactly 3 people that can be formed from a group of 45 people. Round to the nearest whole number.

Simplify and write the following complex number in standard form.

Perform the following operation, given A is any set.

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