Question 1

Solve the system   using the inverse method.

Accepted Answer

A)    
B)    
C)    
D) The system is inconsistent 
E) The equations are dependent 
A)    
B)    
C)    
D) The system is inconsistent 
E) The equations are dependent

Question 2

Find the partial fraction decomposition.

Accepted Answer

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

Question 3

Use matrices to solve the system.

Accepted Answer

A)    
B)    
C)    
D) The equations are dependent 
E) No solution 
A)    
B)    
C)    
D) The equations are dependent 
E) No solution

Question 4

Find the determinant.

Accepted Answer

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

Question 5

Find the determinant.

Accepted Answer

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

Question 6

Use the method of substitution to solve the system.

Accepted Answer

A)    
B)    
C)    
D)    
E) no solution 
A)    
B)    
C)    
D)    
E) no solution

Question 7

Sketch the region R determined by the given constraints, and label its vertices. Find the maximum value of C on R.

Accepted Answer

A) maximum of 44 at   
B) maximum of 40 at   
C) maximum of 42 at   
D) maximum of 46 at   
E) maximum of 0 at   
A) maximum of 44 at   
B) maximum of 40 at   
C) maximum of 42 at   
D) maximum of 46 at   
E) maximum of 0 at

Question 8

Three average monthly low temperatures for Detroit are listed in the table.  
Let   correspond to January,   to February, . . . , and   to December. Determine a quadratic function   that interpolates the data - that is, determine the constants a, b, and c such that   , and   .

Accepted Answer

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

Question 9

Use matrices to solve the system.

Accepted Answer

A)    
B)    
C)    
D) The system is inconsistent 
E) The equations are dependent 
A)    
B)    
C)    
D) The system is inconsistent 
E) The equations are dependent

Question 10

Find the inverse of the matrix if it exists.

Accepted Answer

A)    
B)    
C)    
D)    
E) Does not exist 
A)    
B)    
C)    
D)    
E) Does not exist

Question 11

A manufacturer of cell phones makes a profit of $23 on a deluxe model and $31 on a standard model. The company wishes to produce at least 80 deluxe models and at least 100 standard models per day. To maintain high quality, the daily production should not exceed 240 phones. How many of each type should be produced daily in order to maximize the profit?

Accepted Answer

A) 31 standard and 80 deluxe 
B) 80 standard and 160 deluxe 
C) 160 standard and 80 deluxe 
D) 200 standard and 40 deluxe 
E) 160 standard and 60 deluxe 
A) 31 standard and 80 deluxe 
B) 80 standard and 160 deluxe 
C) 160 standard and 80 deluxe 
D) 200 standard and 40 deluxe 
E) 160 standard and 60 deluxe

Question 12

Use matrices to solve the system.

Accepted Answer

A)    
B)    
C)    
D) The system is dependent 
E) No solution 
A)    
B)    
C)    
D) The system is dependent 
E) No solution

Question 13

Find the partial fraction decomposition.

Accepted Answer

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

Question 14

Find the inverse of the matrix if it exists.

Accepted Answer

A)    
B)    
C)    
D)    
E) Does not exist 
A)    
B)    
C)    
D)    
E) Does not exist

Question 15

Find the inverse of the matrix if it exists.

Accepted Answer

A)    
B)    
C)    
D)    
E) Does not exist 
A)    
B)    
C)    
D)    
E) Does not exist

Question 16

Use Cramer's rule, whenever possible, to solve the system.

Accepted Answer

A)    
B)    
C)    
D) The equations are dependent. 
E) The system is inconsistent. 
A)    
B)    
C)    
D) The equations are dependent. 
E) The system is inconsistent.

Question 17

Find the determinant of the matrix.

Accepted Answer

A) 15,232.88 
B) 3,046.58 
C) 22,849.32 
D) 7,616.44 
E) 30,465.76 
A) 15,232.88 
B) 3,046.58 
C) 22,849.32 
D) 7,616.44 
E) 30,465.76

Question 18

Sketch the graph of the inequality.

Accepted Answer

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

Question 19

Find, if possible,   .

Accepted Answer

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

Question 20

Find the partial fraction decomposition.

Accepted Answer

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

Solve the system using the inverse method.

Find the partial fraction decomposition. $Find the partial fraction decomposition.$

Use matrices to solve the system.

Find the determinant.

Find the determinant.

Use the method of substitution to solve the system.

Sketch the region R determined by the given constraints, and label its vertices. Find the maximum value of C on R.

Three average monthly low temperatures for Detroit are listed in the table. Let correspond to January, to February, . . . , and to December. Determine a quadratic function that interpolates the data - that is, determine the constants a, b, and c such that , and .

Use matrices to solve the system.

Find the inverse of the matrix if it exists.

Use matrices to solve the system.

Find the partial fraction decomposition. $Find the partial fraction decomposition.$

Find the inverse of the matrix if it exists.

Find the inverse of the matrix if it exists.

Use Cramer's rule, whenever possible, to solve the system.

Find the determinant of the matrix.

Sketch the graph of the inequality.

Find, if possible, .

Find the partial fraction decomposition. $Find the partial fraction decomposition.$

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

The Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Sequences, Series and Probability

Topics From Analytic Geometry

Filters

Exam 9: Systems of Equations and Inequalities

Solve the system using the inverse method.

Find the partial fraction decomposition.

Use matrices to solve the system.

Find the determinant.

Find the determinant.

Use the method of substitution to solve the system.

Sketch the region R determined by the given constraints, and label its vertices. Find the maximum value of C on R.

Three average monthly low temperatures for Detroit are listed in the table. Let correspond to January, to February, . . . , and to December. Determine a quadratic function that interpolates the data - that is, determine the constants a, b, and c such that , and .

Use matrices to solve the system.

Find the inverse of the matrix if it exists.

Use matrices to solve the system.

Find the partial fraction decomposition.

Find the inverse of the matrix if it exists.

Find the inverse of the matrix if it exists.

Use Cramer's rule, whenever possible, to solve the system.

Find the determinant of the matrix.

Sketch the graph of the inequality.

Find, if possible, .

Find the partial fraction decomposition.

Fundamental Concepts of Algebra

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

The Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Sequences, Series and Probability

Topics From Analytic Geometry

Filters

Find the partial fraction decomposition. $Find the partial fraction decomposition.$

Find the partial fraction decomposition. $Find the partial fraction decomposition.$

Find the partial fraction decomposition. $Find the partial fraction decomposition.$