Question 1

Solve the system using the inverse matrix method.
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Accepted Answer

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

Question 2

Solve the problem.
-The equation of the line passing through the distinct points   is given by   0. Find the equation of the line passing through the points (3, 5)and (-1, 4).

Accepted Answer

A) x - 4y + 17 = 0 
B) x + 7y + 17 = 0 
C) -x + 4y - 17 = 0 
D) x + 4y + 17 = 0 
A) x - 4y + 17 = 0 
B) x + 7y + 17 = 0 
C) -x + 4y - 17 = 0 
D) x + 4y + 17 = 0

Question 3

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

A) x = 0, y = 0; (0, 0) 
B) x = -9, y = -5; (-9, -5) 
C) x = 0, y = -14; (0, -14) 
D) inconsistent 
A) x = 0, y = 0; (0, 0) 
B) x = -9, y = -5; (-9, -5) 
C) x = 0, y = -14; (0, -14) 
D) inconsistent

Question 4

Use the properties of determinants to find the value of the second determinant, given the value of the first.
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Accepted Answer

A) -170 
B) 170 
C) -85 
D) 85 
A) -170 
B) 170 
C) -85 
D) 85

Question 5

Set up the linear programming problem.
-An office manager is buying used filing cabinets. Small file cabinets cost $6 each and large file cabinets cost$9 each, and the manager cannot spend more than $93 on file cabinets. A small cabinet takes up 5 squarefeet of floor space and a large cabinet takes up 8 square feet, and the office has no more than 80 square feetof floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get freedelivery. Let x = the number of small file cabinets bought and y = the number of large file cabinets bought.Write a system of inequalities that describes these constraints.

Accepted Answer

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

Question 6

Write the augmented matrix for the system.
-

Accepted Answer

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

Question 7

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

Accepted Answer

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

Question 8

Determine whether the system corresponding to the given augmented matrix is consistent or inconsistent. If it is
consistent, give the solution.
-

Accepted Answer

A) consistent; x = 0, y = 0; (0, 0) 
B) consistent; x = 0, y = -2; (0, -2) 
C) consistent; z = -2; (-9) 
D) inconsistent 
A) consistent; x = 0, y = 0; (0, 0) 
B) consistent; x = 0, y = -2; (0, -2) 
C) consistent; z = -2; (-9) 
D) inconsistent

Question 9

Write the word or phrase that best completes each statement or answers the question.
-A rectangular piece of tin has an area of 630 square inches. A square of 2 inches is cut from each corner,and an open box is made by turning up the ends and sides. If the volume of the box is 836 cubic inches,what were the original dimensions of the piece of tin?

Accepted Answer

A) 15 in. by 42 in. 
B) 17 in. by 44 in. 
C) 13 in. by 40 in. 
D) 11 in. by 36 in. 
A) 15 in. by 42 in. 
B) 17 in. by 44 in. 
C) 13 in. by 40 in. 
D) 11 in. by 36 in.

Question 10

Solve the system of equations using substitution.
-

Accepted Answer

A) x = 5, y = 4; x = 4, y = 5 or (5, 4), (4, 5) 
B) x = 6, y = 3; x = 3, y = 6 or (6, 3), (3, 6) 
C) x = 10, y = 2; x = 2, y =10 or (10, 2), (2, 10) 
D) x = 20, y = 1; x = 1, y = 20 or (20, 1), (1, 20) 
A) x = 5, y = 4; x = 4, y = 5 or (5, 4), (4, 5) 
B) x = 6, y = 3; x = 3, y = 6 or (6, 3), (3, 6) 
C) x = 10, y = 2; x = 2, y =10 or (10, 2), (2, 10) 
D) x = 20, y = 1; x = 1, y = 20 or (20, 1), (1, 20)

Question 11

Write the word or phrase that best completes each statement or answers the question.
-The perimeter of a picture frame is 11 feet. If three times the height is equal to eight times the width, whatare the dimensions of the frame?

Accepted Answer

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

Question 12

Graph the system of inequalities.
-

Accepted Answer

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

Question 13

Write the augmented matrix for the system.
-

Accepted Answer

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

Question 14

Graph the system of inequalities.
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Accepted Answer

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

Question 15

Graph the inequality.
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Accepted Answer

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

Question 16

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

A) not applicable 
B) x = 3, y = 2; (3, 2) 
C)    
D) x = 6, y = 12; (6, 12) 
A) not applicable 
B) x = 3, y = 2; (3, 2) 
C)    
D) x = 6, y = 12; (6, 12)

Question 17

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

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

Question 18

Write the word or phrase that best completes each statement or answers the question.
-A company manufactures three types of wooden chairs: the Kitui, the Goa, and the Santa Fe. To make aKitui chair requires 1 hour of cutting time, 1.5 hours of assembly time, and 1 hour of finishing time. A Goachair requires 1.5 hours of cutting time, 2.5 hours of assembly time and 2 hours of finishing time. A SantaFe chair requires 1.5 hours of cutting time, 3 hours of assembly time, and 3 hours of finishing time. If 41hours of cutting time, 70 hours of assembly time, and 58 hours of finishing time were used one week, howmany of each type of chair were produced?

Accepted Answer

14 Kitui c

Question 19

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 20

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

Accepted Answer

A)    
B) x = 28, y = 24; 28, 24 
C)    
D) not applicable 
A)    
B) x = 28, y = 24; 28, 24 
C)    
D) not applicable

Solve the system using the inverse matrix method. -

Solve the problem. -The equation of the line passing through the distinct points is given by 0. Find the equation of the line passing through the points (3, 5)and (-1, 4).

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

Use the properties of determinants to find the value of the second determinant, given the value of the first. -

Write the augmented matrix for the system. -

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

Determine whether the system corresponding to the given augmented matrix is consistent or inconsistent. If it is consistent, give the solution. -

Solve the system of equations using substitution. -

Write the word or phrase that best completes each statement or answers the question. -The perimeter of a picture frame is 11 feet. If three times the height is equal to eight times the width, whatare the dimensions of the frame?

Graph the system of inequalities. -

Write the augmented matrix for the system. -

Graph the system of inequalities. -

Graph the inequality. -

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

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

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

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

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 using the inverse matrix method. -

Solve the problem. -The equation of the line passing through the distinct points is given by 0. Find the equation of the line passing through the points (3, 5)and (-1, 4).

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

Use the properties of determinants to find the value of the second determinant, given the value of the first. -

Write the augmented matrix for the system. -

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

Determine whether the system corresponding to the given augmented matrix is consistent or inconsistent. If it is consistent, give the solution. -

Solve the system of equations using substitution. -

Write the word or phrase that best completes each statement or answers the question. -The perimeter of a picture frame is 11 feet. If three times the height is equal to eight times the width, whatare the dimensions of the frame?

Graph the system of inequalities. -

Write the augmented matrix for the system. -

Graph the system of inequalities. -

Graph the inequality. -

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

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

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

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

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