Question 1

Solve the system of equations.
-

Accepted Answer

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

Question 2

Write the partial fraction decomposition of the rational expression.
-

Accepted Answer

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

Question 3

Solve for x.
-

Accepted Answer

A) 4 
B) 3 
C) -4 
D) -3 
A) 4 
B) 3 
C) -4 
D) -3

Question 4

Solve the linear programming problem.
-Maximize and minimize z = 12x + 10y subject to:

Accepted Answer

A) maximum: 170; minimum: 20 
B) maximum: 120; minimum: 30 
C) maximum: 50; minimum: 30 
D) maximum: 170; minimum: 120 
A) maximum: 170; minimum: 20 
B) maximum: 120; minimum: 30 
C) maximum: 50; minimum: 30 
D) maximum: 170; minimum: 120

Question 5

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-Three shrimp boats supply the shrimp wholesalers on Hilton Head with fresh catch. The Annabelle takes50% of its catch to Hudsonʹs, 20% to Captain Jʹs, and 30% to Mainstreet. The Curly Q takes 40% of its catchto Hudsonʹs, 40% to Captain Jʹs, and 20% to Mainstreet. The SloJoe takes 30% of its catch to Hudsonʹs, 40%to Captain Jʹs, and 30% to Mainstreet. One week Hudsonʹs received 251.7 pounds of shrimp, Captain Jʹsreceived 217.2 pounds, and Mainstreet received 165.1 pounds. How many pounds of shrimp did each boatcatch?

Accepted Answer

A) Annabelle 182 lbs, Curly Q 251 lbs, SloJoe 201 lbs 
B) Annabelle 251 lbs, Curly Q 201 lbs, SloJoe 182 lbs 
C) Annabelle 201 lbs, Curly Q 251 lbs, SloJoe 182 lbs 
D) Annabelle 201 lbs, Curly Q 182 lbs, SloJoe 251 lbs 
A) Annabelle 182 lbs, Curly Q 251 lbs, SloJoe 201 lbs 
B) Annabelle 251 lbs, Curly Q 201 lbs, SloJoe 182 lbs 
C) Annabelle 201 lbs, Curly Q 251 lbs, SloJoe 182 lbs 
D) Annabelle 201 lbs, Curly Q 182 lbs, SloJoe 251 lbs

Question 6

Set up the linear programming problem.
-A steel company produces two types of machine dies, part A and part B. The company makes a $2.00profit on each part A that it produces and a $5.00 profit on each part B that it produces. Let x = the numberof part A produced in a week and y = the number of part B produced in a week. Write the objectivefunction that describes the total weekly profit.

Accepted Answer

A) z = 2x + 5y 
B) z = 5x + 2y 
C) z = 7(x + y) 
D) z =2(x - 5)+ 5(y - 2) 
A) z = 2x + 5y 
B) z = 5x + 2y 
C) z = 7(x + y) 
D) z =2(x - 5)+ 5(y - 2)

Question 7

Solve the system of equations using substitution.
-

Accepted Answer

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

Question 8

Solve the system of equations by elimination.
-

Accepted Answer

A) x = 10, y = 10; (10, 10) 
B) x = 0, y = 10; (0, 10) 
C) x = 10, y = 0; (10, 0) 
D) x = 0, y = 0; (0, 0) 
A) x = 10, y = 10; (10, 10) 
B) x = 0, y = 10; (0, 10) 
C) x = 10, y = 0; (10, 0) 
D) x = 0, y = 0; (0, 0)

Question 9

An objective function and a system of linear inequalities representing constraints are given. Graph the system of
inequalities representing the constraints. Find the value of the objective function at each corner of the graphed
region. Use these values to determine the maximum value of the objective function and the values of x and y for
which the maximum occurs.
C
-

Accepted Answer

A) maximum: 62; at (8, 2) 
B) maximum: 42; at (6, 0) 
C) maximum: 29; at (2, 5) 
D) maximum: 15; at (0, 5) 
A) maximum: 62; at (8, 2) 
B) maximum: 42; at (6, 0) 
C) maximum: 29; at (2, 5) 
D) maximum: 15; at (0, 5)

Question 10

Tell whether the given rational expression is proper or improper.
-

Accepted Answer

A) proper 
B) improper 
A) proper 
B) improper

Question 11

Write the partial fraction decomposition of the rational expression.
-

Accepted Answer

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

Question 12

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is
inconsistent.
-

Accepted Answer

A) x = 6, y = 7, z = 8; (6, 7, 8) 
B) x = 6, y = 8, z = 7; (6, 8, 7) 
C) x = -6, y = 7, z = 12; (-6, 7, 12) 
D) inconsistent 
A) x = 6, y = 7, z = 8; (6, 7, 8) 
B) x = 6, y = 8, z = 7; (6, 8, 7) 
C) x = -6, y = 7, z = 12; (-6, 7, 12) 
D) inconsistent

Question 13

Write the augmented matrix for the system.
-

Accepted Answer

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

Question 14

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   and its inverse   to decode the cryptogram   .

Accepted Answer

A) ABLE 
B) ACTS 
C) ARMS 
D) ALAS 
A) ABLE 
B) ACTS 
C) ARMS 
D) ALAS

Question 15

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-Find real numbers a, b, and c such that the graph of the function   contains the points (1, 1),(2, 4), and (-3, 29).

Accepted Answer

a = 2, b =

Question 16

Solve the problem.
-State University has a College of Arts & Sciences, a College of Business, and a College of Engineering. Thepercentage of students in each category are given by the following matrix.   The student population is distributed by class and age as given in the following matrix.   How many female students are in the College of Business? How many male students are in the College of ASciences?

Accepted Answer

A) 633 students; 1,423 students 
B) 531 students; 687 students 
C) 687 students; 510 students 
D) 1,346 students; 633 students 
A) 633 students; 1,423 students 
B) 531 students; 687 students 
C) 687 students; 510 students 
D) 1,346 students; 633 students

Question 17

Solve the system of equations.
-

Accepted Answer

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

Question 18

Write the word or phrase that best completes each statement or answers the question.
-

Accepted Answer

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

Question 19

Solve the problem.
-A tour group split into two groups when waiting in line for food at a fast food counter. The first groupbought 7 slices of pizza and 4 soft drinks for $31.35. The second group bought 5 slices of pizza and 5 softdrinks for $26.40. How much does one slice of pizza cost?

Accepted Answer

A) $3.41 per slice of pizza 
B) $1.87 per slice of pizza 
C) $2.91 per slice of pizza 
D) $2.37 per slice of pizza 
A) $3.41 per slice of pizza 
B) $1.87 per slice of pizza 
C) $2.91 per slice of pizza 
D) $2.37 per slice of pizza

Question 20

Graph the inequality.
-

Accepted Answer

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

Solve the system of equations. -

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

Solve for x. -

Solve the linear programming problem. -Maximize and minimize z = 12x + 10y subject to:

Solve the system of equations using substitution. -

Solve the system of equations by elimination. -

Tell whether the given rational expression is proper or improper. -

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

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. -

Write the augmented matrix for the system. -

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 and its inverse to decode the cryptogram .

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -Find real numbers a, b, and c such that the graph of the function contains the points (1, 1),(2, 4), and (-3, 29).

Solve the system of equations. -

Write the word or phrase that best completes each statement or answers the question. -

Solve the problem. -A tour group split into two groups when waiting in line for food at a fast food counter. The first groupbought 7 slices of pizza and 4 soft drinks for $31.35. The second group bought 5 slices of pizza and 5 softdrinks for $26.40. How much does one slice of pizza cost?

Graph the inequality. -

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. -

Write the partial fraction decomposition of the rational expression. -

Solve for x. -

Solve the linear programming problem. -Maximize and minimize z = 12x + 10y subject to:

Solve the system of equations using substitution. -

Solve the system of equations by elimination. -

Tell whether the given rational expression is proper or improper. -

Write the partial fraction decomposition of the rational expression. -

Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. -

Write the augmented matrix for the system. -

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 and its inverse to decode the cryptogram .

Write the word or phrase that best completes each statement or answers the question. Solve the problem. -Find real numbers a, b, and c such that the graph of the function contains the points (1, 1),(2, 4), and (-3, 29).

Solve the system of equations. -

Write the word or phrase that best completes each statement or answers the question. -

Solve the problem. -A tour group split into two groups when waiting in line for food at a fast food counter. The first groupbought 7 slices of pizza and 4 soft drinks for $31.35. The second group bought 5 slices of pizza and 5 softdrinks for $26.40. How much does one slice of pizza cost?

Graph the inequality. -

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

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