Question 1

Solve the system of equations.
-

Accepted Answer

A) x = 0, y = -5, z = -2; (0, -5, -2) 
B) x = -2, y = 0, z = -5; (-2, 0, -5) 
C) x = -2, y = -5, z = 0; (-2, -5, 0) 
D) inconsistent 
A) x = 0, y = -5, z = -2; (0, -5, -2) 
B) x = -2, y = 0, z = -5; (-2, 0, -5) 
C) x = -2, y = -5, z = 0; (-2, -5, 0) 
D) inconsistent

Question 2

Solve the linear programming problem.
-Minimize z = 23x + 12y + 24 subject to:

Accepted Answer

A) minimum: 36 
B) minimum: 47 
C) minimum: 59 
D) minimum: 24 
A) minimum: 36 
B) minimum: 47 
C) minimum: 59 
D) minimum: 24

Question 3

Write the word or phrase that best completes each statement or answers the question.
-The table below shows the number of birds for three selected years after an endangered species protectionprogram was started.   Use the quadratic function   to model the data. Solve the system of linear equations involvina, b, and c using matrices. Find the equation that models the data.

Accepted Answer

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

Question 4

Solve the system of equations using substitution.
-

Accepted Answer

A) x = 0, y = 2; x = 2, y = 0 or (0, 2), (2, 0) 
B) x = 0, y = 0; x = 2, y = -2 or (0, 0), (2, -2) 
C) x = 0, y = -2; x = -2, y = 0 or (0, -2), (-2, 0) 
D) x = 2, y = -2; x = -2, y = -2 or (2,-2), (-2, -2) 
A) x = 0, y = 2; x = 2, y = 0 or (0, 2), (2, 0) 
B) x = 0, y = 0; x = 2, y = -2 or (0, 0), (2, -2) 
C) x = 0, y = -2; x = -2, y = 0 or (0, -2), (-2, 0) 
D) x = 2, y = -2; x = -2, y = -2 or (2,-2), (-2, -2)

Question 5

Write the system of equations associated with the augmented matrix. Do not solve.
-

Accepted Answer

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

Question 6

Solve the problem.
-The Paperback Trader is a book store that takes in used paperbacks for 20% of their cover price and sellsthem for 50% of their cover price. Pat brings in a stack of 17 paperback books to trade and gets $13.73credit. Some of the books had a cover price of $5.98, the rest $2.98. She wants to get some Tom Clancybooks having a cover price of $5.98. How many $5.98 books did she bring in and how many Clancy bookscan she get without paying any additional cash?

Accepted Answer

A) 6 $5.98 books, 4 Clancy books 
B) 11 $5.98 books, 2 Clancy books 
C) 6 $5.98 books, 5 Clancy books 
D) 6 $5.98 books, 2 Clancy books 
A) 6 $5.98 books, 4 Clancy books 
B) 11 $5.98 books, 2 Clancy books 
C) 6 $5.98 books, 5 Clancy books 
D) 6 $5.98 books, 2 Clancy books

Question 7

Perform the indicated operation(s), whenever possible.
-Let   and   Find A + B.

Accepted Answer

A)    
B)    
C)    
D) not defined 
A)    
B)    
C)    
D) not defined

Question 8

Write the partial fraction decomposition of the rational expression.
-

Accepted Answer

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

Question 9

Write the system of equations associated with the augmented matrix. Do not solve.
-

Accepted Answer

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

Question 10

Graph the inequality.
-

Accepted Answer

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

Question 11

Write the word or phrase that best completes each statement or answers the question.
-The Fiedler family has up to $130,000 to invest. They decide that they want to have at least $40,000invested in stable bonds yielding 5.5% and that no more than $60,000 should be invested in more volatilebonds yielding 11%. How much should they invest in each type of bond to maximize income if the amountin the stable bond should not exceed the amount in the more volatile bond? What is the maximumincome?

Accepted Answer

$60,000 in the stabl

Question 12

Encode or decode the given message, as requested, numbering the letters of the alphabet 1 through 26 in their usual
order.
-Use the coding matrix   to encode the message LIFE.

Accepted Answer

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

Question 13

Use a graphing utility to solve the system of equations. Express the solution rounded to two decimal places.
-

Accepted Answer

A) x = 0.64, y = 1.89 or (0.64, 1.89) 
B) x = 0.48, y = 1.63 or (0.48, 1.63) 
C) x = 0.22, y = 0.98 or (0.22, 0.98) 
D) x = 1.14, y = 0.81 or (1.14, 0.81) 
A) x = 0.64, y = 1.89 or (0.64, 1.89) 
B) x = 0.48, y = 1.63 or (0.48, 1.63) 
C) x = 0.22, y = 0.98 or (0.22, 0.98) 
D) x = 1.14, y = 0.81 or (1.14, 0.81)

Question 14

Write the word or phrase that best completes each statement or answers the question.
-Jaya has $16,000 to invest. She invests part of it in an account paying 6% simple interest and the rest in anaccount paying 7% simple interest. If her annual income is $1080, how much does she have invested ineach account?

Accepted Answer

$4000 at 6

Question 15

Write the word or phrase that best completes each statement or answers the question.
-Let A   Find 3A - 3B.

Accepted Answer

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

Question 16

Graph the inequality.
-

Accepted Answer

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

Question 17

Solve the system of equations.
-

Accepted Answer

A) x = 0, y = 0, z = 1; (0, 0, 1) 
B) x = 1, y = -1, z = 1; (1, -1, 1) 
C) x = 0, y = 1, z = 0; (0, 1, 0) 
D) x = -1, y = 1, z = 1; (-1, 1, 1) 
A) x = 0, y = 0, z = 1; (0, 0, 1) 
B) x = 1, y = -1, z = 1; (1, -1, 1) 
C) x = 0, y = 1, z = 0; (0, 1, 0) 
D) x = -1, y = 1, z = 1; (-1, 1, 1)

Question 18

Perform the indicated operations and simplify.
-Let   and   Find BC + 6ℐ3.

Accepted Answer

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

Question 19

Write the word or phrase that best completes each statement or answers the question.
Graph the equations of the system. Then solve the system to find the points of intersection.
-

Accepted Answer

The answer of Write the word or phrase that best...

Question 20

Write the word or phrase that best completes each statement or answers the question.
-Charlene baby-sits for $4 per hour. She also works as a tutor for $7 per hour. Because of school, herparents only allow her to work 13 hours per week. How many hours can Charlene tutor and baby-sit andstill make at least $50 per week?(a)Let x = hours spent baby-sitting and let y = hours spent tutoring. Write a system of inequalities for thissituation.(b)Graph the solution set.

Accepted Answer

The answer of Write the word or phrase that best...

Solve the system of equations. -

Solve the linear programming problem. -Minimize z = 23x + 12y + 24 subject to:

Solve the system of equations using substitution. -

Write the system of equations associated with the augmented matrix. Do not solve. -

Perform the indicated operation(s), whenever possible. -Let and Find A + B.

Write the partial fraction decomposition of the rational expression. - $Write the partial fraction decomposition of the rational expression. -$

Write the system of equations associated with the augmented matrix. Do not solve. -

Graph the inequality. -

Encode or decode the given message, as requested, numbering the letters of the alphabet 1 through 26 in their usual order. -Use the coding matrix to encode the message LIFE.

Use a graphing utility to solve the system of equations. Express the solution rounded to two decimal places. -

Write the word or phrase that best completes each statement or answers the question. -Let A Find 3A - 3B.

Graph the inequality. -

Solve the system of equations. -

Perform the indicated operations and simplify. -Let and Find BC + 6ℐ3.

Write the word or phrase that best completes each statement or answers the question. Graph the equations of the system. Then solve the system to find the points of intersection. -

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters

Exam 8: Systems of Equations and Inequalities

Solve the system of equations. -

Solve the linear programming problem. -Minimize z = 23x + 12y + 24 subject to:

Solve the system of equations using substitution. -

Write the system of equations associated with the augmented matrix. Do not solve. -

Perform the indicated operation(s), whenever possible. -Let and Find A + B.

Write the partial fraction decomposition of the rational expression. -

Write the system of equations associated with the augmented matrix. Do not solve. -

Graph the inequality. -

Encode or decode the given message, as requested, numbering the letters of the alphabet 1 through 26 in their usual order. -Use the coding matrix to encode the message LIFE.

Use a graphing utility to solve the system of equations. Express the solution rounded to two decimal places. -

Write the word or phrase that best completes each statement or answers the question. -Let A Find 3A - 3B.

Graph the inequality. -

Solve the system of equations. -

Perform the indicated operations and simplify. -Let and Find BC + 6ℐ3.

Write the word or phrase that best completes each statement or answers the question. Graph the equations of the system. Then solve the system to find the points of intersection. -

Equations and Inequalities

Graphs

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Analytic Geometry

Sequences; Induction; the Binomial Theorem

Counting and Probability

Graphing Utilities

Filters

Write the partial fraction decomposition of the rational expression. - $Write the partial fraction decomposition of the rational expression. -$