Question 1

Write the partial fraction decomposition of the rational expression.
-

Accepted Answer

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

Question 2

Write the word or phrase that best completes each statement or answers the question.
-Your computer supply store sells two types of laser printers. The first type, A, has a cost of $86 and youmake a $45 profit on each one. The second type, B, has a cost of $130 and you make a $35 profit on eachone. You expect to sell at least 100 laser printers this month and you need to make at least $3850 profit onthem. How many of what type of printer should you order if you want to minimize your cost?

Accepted Answer

order 100

Question 3

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 COME_HERE.

Accepted Answer

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

Question 4

Each matrix is nonsingular. Find the inverse of the matrix. Be sure to check your answer.
-

Accepted Answer

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

Question 5

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

Accepted Answer

A) x = -2, y = 3, z = 4, w = -2; (-2, 3, 4, -2) 
B)    
C) x = 2, y = -3, z = -4, w = -2; (2, -3, -4, -2) 
D)    
A) x = -2, y = 3, z = 4, w = -2; (-2, 3, 4, -2) 
B)    
C) x = 2, y = -3, z = -4, w = -2; (2, -3, -4, -2) 
D)

Question 6

Use the given matrices to compute the given expression.
-Let B = -114-3 . Find -3B.

Accepted Answer

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

Question 7

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 33; at (6, 3) 
B) maximum 75; at (0, 15) 
C) maximum 22.5; at (7.5, 0) 
D) maximum 38; at (6, 4) 
A) maximum 33; at (6, 3) 
B) maximum 75; at (0, 15) 
C) maximum 22.5; at (7.5, 0) 
D) maximum 38; at (6, 4)

Question 8

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

Accepted Answer

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

Question 9

Solve the system of equations by elimination.
-

Accepted Answer

A) x = 18,   
B) x = 16,   
C) x = -18,   
D) x = -16,   
A) x = 18,   
B) x = 16,   
C) x = -18,   
D) x = -16,

Question 10

Solve the system of equations.
-

Accepted Answer

A) x = 1, y = -2, z = 4; (1, -2, 4) 
B) x = 1, y = 4, z = -2; (1, 4, -2) 
C) x = -2, y = 4, z = 1; (-2, 4, 1) 
D) inconsistent 
A) x = 1, y = -2, z = 4; (1, -2, 4) 
B) x = 1, y = 4, z = -2; (1, 4, -2) 
C) x = -2, y = 4, z = 1; (-2, 4, 1) 
D) inconsistent

Question 11

Graph the inequality.
-

Accepted Answer

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

Question 12

Write the word or phrase that best completes each statement or answers the question.
-A right triangle has an area of 12 square inches. The square of the hypotenuse is 52. Find the lengths of thelegs of the triangle. Round your answer to the nearest inch.

Accepted Answer

A) 4 in. and 6 in. 
B) 16 in. and 36 in. 
C) 2 in. and 12 in. 
D) 8 in. and 3 in. 
A) 4 in. and 6 in. 
B) 16 in. and 36 in. 
C) 2 in. and 12 in. 
D) 8 in. and 3 in.

Question 13

Write the partial fraction decomposition of the rational expression.
-

Accepted Answer

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

Question 14

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

Accepted Answer

A)    , z = 5 - w, where w is any real number 
B)    , where w is any real number 
C)    , where w is any real number 
D) inconsistent 
A)    , z = 5 - w, where w is any real number 
B)    , where w is any real number 
C)    , where w is any real number 
D) inconsistent

Question 15

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

Accepted Answer

A) x = 1, y = 3, z = -4; (1, 3, -4) 
B) x = 1, y = -3, z = -16; (1, -3, -16) 
C)    
D) x = 2, y = 3, z = -7; (2, 3, -7) 
A) x = 1, y = 3, z = -4; (1, 3, -4) 
B) x = 1, y = -3, z = -16; (1, -3, -16) 
C)    
D) x = 2, y = 3, z = -7; (2, 3, -7)

Question 16

Write the word or phrase that best completes each statement or answers the question.
-The area of a rectangular piece of cardboard shown is 714 square inches. The cardboard is used to make anopen box by cutting a 5-inch square from each corner and turning up the sides. If the box is to have avolume of 1,320 cubic inches, find the dimensions of the cardboard that must be used.

Accepted Answer

A) 21 in. by 34 in. 
B) 26 in. by 39 in. 
C) 16 in. by 29 in. 
D) 11 in. by 19 in. 
A) 21 in. by 34 in. 
B) 26 in. by 39 in. 
C) 16 in. by 29 in. 
D) 11 in. by 19 in.

Question 17

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

Accepted Answer

x = -1, y

Question 18

Solve the system using the inverse matrix method.
-  The inverse of

Accepted Answer

A) x = 39, y = -44, z = 16; (39, -44, 16) 
B) x = 28, y = -45, z = 16; (28, -45, 16) 
C) x = -1, y = 0, z = 0; (-1, 0, 0) 
D) x = 49, y = 66, z = 28; (49, 66, 28) 
A) x = 39, y = -44, z = 16; (39, -44, 16) 
B) x = 28, y = -45, z = 16; (28, -45, 16) 
C) x = -1, y = 0, z = 0; (-1, 0, 0) 
D) x = 49, y = 66, z = 28; (49, 66, 28)

Question 19

Write the word or phrase that best completes each statement or answers the question.
-Craig, Jenni, and Jade go to a store having a sale on workout gear. Craig buys three pairs of socks, twoT-shirts, and one pair of shorts for $35.90. Jenni buys four pairs of socks, three T-shirts, and three pairs ofshorts for $71.35. Jade buys one pair of socks, four T-shirts, and 2 pairs of shorts for $59.30. What is theprice of each item?

Accepted Answer

socks: $2.50 per pai

Question 20

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

Accepted Answer

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

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

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 COME_HERE.

Each matrix is nonsingular. Find the inverse of the matrix. Be sure to check your answer. -

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

Use the given matrices to compute the given expression. -Let B = -114-3 . Find -3B.

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

Solve the system of equations by elimination. -

Solve the system of equations. -

Graph the inequality. -

Write the word or phrase that best completes each statement or answers the question. -A right triangle has an area of 12 square inches. The square of the hypotenuse is 52. Find the lengths of thelegs of the triangle. Round your answer to the nearest inch.

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

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

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

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

Solve the system using the inverse matrix method. - The inverse of

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

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

Write the partial fraction decomposition of the rational expression. -

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 COME_HERE.

Each matrix is nonsingular. Find the inverse of the matrix. Be sure to check your answer. -

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

Use the given matrices to compute the given expression. -Let B = -114-3 . Find -3B.

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

Solve the system of equations by elimination. -

Solve the system of equations. -

Graph the inequality. -

Write the word or phrase that best completes each statement or answers the question. -A right triangle has an area of 12 square inches. The square of the hypotenuse is 52. Find the lengths of thelegs of the triangle. Round your answer to the nearest inch.

Write the partial fraction decomposition of the rational expression. -

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

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

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

Solve the system using the inverse matrix method. - The inverse of

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

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