Question 1

Solve the system of equations. If the system has no solution, say that it is inconsistent.
-

Accepted Answer

A) y = -9x + 7, where x is any real number or   where x is any real number} 
B) x = -9y + 7, where y is any real number or   , where y is any real number} 
C) y = 9x + 7, where x is any real number or   , where x is any real number} 
D) inconsistent 
A) y = -9x + 7, where x is any real number or   where x is any real number} 
B) x = -9y + 7, where y is any real number or   , where y is any real number} 
C) y = 9x + 7, where x is any real number or   , where x is any real number} 
D) inconsistent

Question 2

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

Question 3

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 4

The graph of two equations along with the points of intersection are given. Substitute the points of intersection
into the systems of equations. Are the points of intersection solutions to the system of equations (Y/N)?
-

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 5

Solve the system of equations using Cramerʹs Rule if it is applicable. If Cramerʹs Rule is not applicable, say so.
-

Accepted Answer

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

Question 6

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 32; at (3, 2) 
B) maximum 32; at (2, 3) 
C) maximum 52; at (4, 4) 
D) maximum 24; at (4, 0) 
A) maximum 32; at (3, 2) 
B) maximum 32; at (2, 3) 
C) maximum 52; at (4, 4) 
D) maximum 24; at (4, 0)

Question 7

Graph the system of inequalities.
-

Accepted Answer

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

Question 8

Write the word or phrase that best completes each statement or answers the question.
-The perimeter of a rectangle is 40 inches and its area is 96 square inches. What are its dimensions?

Accepted Answer

A) 8 in. by 12 in. 
B) 7 in. by 13 in. 
C) 9 in. by 11 in. 
D) 7 in. by 11 in. 
A) 8 in. by 12 in. 
B) 7 in. by 13 in. 
C) 9 in. by 11 in. 
D) 7 in. by 11 in.

Question 9

Write the word or phrase that best completes each statement or answers the question.
-Joelyʹs Tea Shop, a store that specializes in tea blends, has available 45 pounds of A grade tea and 70pounds of B grade tea. These will be blended into 1 pound packages as follows: A breakfast blend thatcontains one third of a pound of A grade tea and two thirds of a pound of B grade tea and an afternoontea that contains one half pound of A grade tea and one half pound of B grade tea. If Joely makes a profitof $1.50 on each pound of the breakfast blend and $2.00 profit on each pound of the afternoon blend, howmany pounds of each blend should she make to maximize profits? What is the maximum profit?

Accepted Answer

75 packages of the b

Question 10

Graph the inequality.
-

Accepted Answer

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

Question 11

Graph the system of inequalities.
-

Accepted Answer

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

Question 12

Solve for x.
-

Accepted Answer

A) 0 
B) 1 
C) -1 
D) 2 
A) 0 
B) 1 
C) -1 
D) 2

Question 13

Write the partial fraction decomposition of the rational expression.
-

Accepted Answer

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

Question 14

Perform the indicated operations and simplify.
-Let   Find C(A -B).

Accepted Answer

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

Question 15

Write the partial fraction decomposition of the rational expression.
-

Accepted Answer

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

Question 16

The graph of two equations along with the points of intersection are given. Substitute the points of intersection
into the systems of equations. Are the points of intersection solutions to the system of equations (Y/N)?
-

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Question 17

Use a graphing utility to solve the system of equations. Round answers to two decimal places.
-

Accepted Answer

A) x = 4.56, y = -6.06, z = -22.55; (4.56, -6.06, -22.55) 
B) x =-22.55, y = 4.56, z = -6.06; (-22.55, 4.56, -6.06) 
C) x = 4.56, y = -22.55, z = -6.06; (4.56, -22.55, -6.06) 
D) x = -22.55, y = -6.06, z = 4.56; (-22.55, -6.06, 4.56) 
A) x = 4.56, y = -6.06, z = -22.55; (4.56, -6.06, -22.55) 
B) x =-22.55, y = 4.56, z = -6.06; (-22.55, 4.56, -6.06) 
C) x = 4.56, y = -22.55, z = -6.06; (4.56, -22.55, -6.06) 
D) x = -22.55, y = -6.06, z = 4.56; (-22.55, -6.06, 4.56)

Question 18

Solve the system using the inverse matrix method.
-

Accepted Answer

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

Question 19

Solve the system using the inverse matrix method.
-

Accepted Answer

A) x = 2, y = 6; (2, 6) 
B) x = 6, y = 2; (6, 2) 
C) x = -2, y = -6; (-2, -6) 
D) x = -6, y = -2; (-6, -2) 
A) x = 2, y = 6; (2, 6) 
B) x = 6, y = 2; (6, 2) 
C) x = -2, y = -6; (-2, -6) 
D) x = -6, y = -2; (-6, -2)

Question 20

Write the word or phrase that best completes each statement or answers the question.
-The Jillsonʹs have up to $75,000 to invest. They decide that they want to have at least $40,000 invested instable bonds yielding 6% and that no more than $20,000 should be invested in more volatile bonds yielding12%.(a)Using x to denote the amount of money invested in the stable bonds and y the amount invested in the mvolatile bonds, write a system of linear inequalities that describes the possible amounts of each investment.(b)Graph the system and label the corner points.

Accepted Answer

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

Solve the system of equations. If the system has no solution, say that it is inconsistent. -

Solve the system of equations. -

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

The graph of two equations along with the points of intersection are given. Substitute the points of intersection into the systems of equations. Are the points of intersection solutions to the system of equations (Y/N)? -

Solve the system of equations using Cramerʹs Rule if it is applicable. If Cramerʹs Rule is not applicable, say so. -

Graph the system of inequalities. -

Write the word or phrase that best completes each statement or answers the question. -The perimeter of a rectangle is 40 inches and its area is 96 square inches. What are its dimensions?

Graph the inequality. -

Graph the system of inequalities. -

Solve for x. -

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

Perform the indicated operations and simplify. -Let Find C(A -B).

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

The graph of two equations along with the points of intersection are given. Substitute the points of intersection into the systems of equations. Are the points of intersection solutions to the system of equations (Y/N)? -

Use a graphing utility to solve the system of equations. Round answers to two decimal places. -

Solve the system using the inverse matrix method. -

Solve the system using the inverse matrix method. -

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. If the system has no solution, say that it is inconsistent. -

Solve the system of equations. -

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

The graph of two equations along with the points of intersection are given. Substitute the points of intersection into the systems of equations. Are the points of intersection solutions to the system of equations (Y/N)? -

Solve the system of equations using Cramerʹs Rule if it is applicable. If Cramerʹs Rule is not applicable, say so. -

Graph the system of inequalities. -

Write the word or phrase that best completes each statement or answers the question. -The perimeter of a rectangle is 40 inches and its area is 96 square inches. What are its dimensions?

Graph the inequality. -

Graph the system of inequalities. -

Solve for x. -

Write the partial fraction decomposition of the rational expression. -

Perform the indicated operations and simplify. -Let Find C(A -B).

Write the partial fraction decomposition of the rational expression. -

The graph of two equations along with the points of intersection are given. Substitute the points of intersection into the systems of equations. Are the points of intersection solutions to the system of equations (Y/N)? -

Use a graphing utility to solve the system of equations. Round answers to two decimal places. -

Solve the system using the inverse matrix method. -

Solve the system using the inverse matrix method. -

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