Question 1

Graph the system of inequalities.

Accepted Answer

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

Question 2

Perform the row operation R1 + R2 $\rightarrow$R2 on the matrix and write the resulting matrix.

Accepted Answer

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

Question 3

Use row operations to transform the matrix to reduced row-echelon form.

Accepted Answer

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

Question 4

Perform the row operation R1 + R2 $\rightarrow$R2 on the matrix and write the resulting matrix.

Accepted Answer

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

Question 5

Find the value of the objective function z = 6x - 5y at each of the vertices (0, 6), (2, 6), (-2, -2), and (5, -2) and then state the maximum and minimum values of the function.

Accepted Answer

A)  maximum 40, minimum -30 
B)  maximum -30, minimum 40 
C)  maximum 40, minimum 30 
D)  maximum 30, minimum -30 
A)  maximum 40, minimum -30 
B)  maximum -30, minimum 40 
C)  maximum 40, minimum 30 
D)  maximum 30, minimum -30

Question 6

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Accepted Answer

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

Question 7

Solve the system of linear equations for a, b, and c.
6a - 7b + 3c = 11
7a + 3b - 6c = 24
6a - 4b + 3c = 14

Accepted Answer

A)  (-3, 1, 0) 
B)  (0, 1, 3) 
C)  (3, 1, 0) 
D)  (1, 0, 3) 
A)  (-3, 1, 0) 
B)  (0, 1, 3) 
C)  (3, 1, 0) 
D)  (1, 0, 3)

Question 8

Ocean Beach Financial Planning offers three types of investments: low-risk, medium-risk, and high-risk. A customer decides to invest $4,700 and is given three options for investing in the three funds. Determine the interest rate percentage for the low-risk, l, medium-risk, m, and high-risk, h, investments based on the interest earned for each option in the first year.
$100l + $1300m +$3300h = $359.00
$550l + $1700m +$2450h = $337.00
$335l + $950m +$3415h = $353.10

Accepted Answer

A)  (5%, 8%, 9%) 
B)  (3%, 6%, 7%) 
C)  (4%, 7%, 8%) 
D)  (8%, 7%, 4%) 
A)  (5%, 8%, 9%) 
B)  (3%, 6%, 7%) 
C)  (4%, 7%, 8%) 
D)  (8%, 7%, 4%)

Question 9

Minimize

Accepted Answer

A)  -17 
B)  -57 
C)  -21 
D)  -53 
A)  -17 
B)  -57 
C)  -21 
D)  -53

Question 10

Evaluate the 2 x 2 determinant.

Accepted Answer

A)  13 
B)  -13 
C)  -27 
D)  27 
A)  13 
B)  -13 
C)  -27 
D)  27

Question 11

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Accepted Answer

The answer of Write the form of the partial fraction...

Question 12

Use Cramer's Rule to solve the system of equations or determine if the system is inconsistent (no solution) or dependent (infinitely many solutions).

Accepted Answer

The answer of Use Cramer's Rule to solve the system...

Question 13

Solve the system of linear equations by elimination.

Accepted Answer

The answer of Solve the system of linear equations by...

Question 14

A company has two rubrics for scoring job applicants based on weighing education, experience, and the interview differently. 
   Applications receive a score from 1 to 10 in each category (education, experience, and interview). Two applicants are shown in matrix B:
   What is the order of BA? What does each entry in BA tell us?

Accepted Answer

The order of BA is 2

Question 15

Employ the following supply and demand equations.
Demand
 
Supply
 
Write a system of linear inequalities corresponding to the producer surplus.

Accepted Answer

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

Question 16

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Accepted Answer

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

Question 17

Solve the system of linear equations by substitution.

Accepted Answer

The answer of Solve the system of linear equations by...

Question 18

Maximize z = 7x + 5y subject to:

Accepted Answer

A)  maximum 0 
B)  maximum 63 
C)  maximum 108 
D)  maximum 45 
A)  maximum 0 
B)  maximum 63 
C)  maximum 108 
D)  maximum 45

Question 19

Find the value of the objective function z = 8x - 4y at each of the vertices (-4, 9), (-2, -7), (-2, -5) (4, 8), and then state the maximum and minimum values of the function.

Accepted Answer

A)  maximum -68, minimum 68 
B)  maximum 12, minimum 68 
C)  maximum -68, minimum 12 
D)  maximum 12, minimum -68 
A)  maximum -68, minimum 68 
B)  maximum 12, minimum 68 
C)  maximum -68, minimum 12 
D)  maximum 12, minimum -68

Question 20

Evaluate the 2 x 2 determinant.

Accepted Answer

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

Graph the system of inequalities.

Perform the row operation R₁ + R₂ $\rightarrow$ R₂on the matrix and write the resulting matrix. $Perform the row operation R<sub>1</sub> + R<sub>2</sub> \rightarrow R<sub>2 </sub>on the matrix and write the resulting matrix.$

Use row operations to transform the matrix to reduced row-echelon form.

Perform the row operation R₁ + R₂ $\rightarrow$ R₂ on the matrix and write the resulting matrix. $Perform the row operation R<sub>1</sub> + R<sub>2</sub> \rightarrow R<sub>2</sub> on the matrix and write the resulting matrix.$

Find the value of the objective function z = 6x - 5y at each of the vertices (0, 6), (2, 6), (-2, -2), and (5, -2) and then state the maximum and minimum values of the function.

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants. $Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.$

Solve the system of linear equations for a, b, and c. 6a - 7b + 3c = 11 7a + 3b - 6c = 24 6a - 4b + 3c = 14

Minimize

Evaluate the 2 x 2 determinant.

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants. $Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.$

Use Cramer's Rule to solve the system of equations or determine if the system is inconsistent (no solution) or dependent (infinitely many solutions).

Solve the system of linear equations by elimination.

Employ the following supply and demand equations. Demand Supply Write a system of linear inequalities corresponding to the producer surplus.

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants. $Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.$

Solve the system of linear equations by substitution.

Maximize z = 7x + 5y subject to:

Find the value of the objective function z = 8x - 4y at each of the vertices (-4, 9), (-2, -7), (-2, -5) (4, 8), and then state the maximum and minimum values of the function.

Evaluate the 2 x 2 determinant.

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Exam 8: Systems of Linear Equations and Inequalities

Graph the system of inequalities.

Perform the row operation R1 + R2 →\rightarrow→ R2 on the matrix and write the resulting matrix.

Use row operations to transform the matrix to reduced row-echelon form.

Perform the row operation R1 + R2 →\rightarrow→ R2 on the matrix and write the resulting matrix.

Find the value of the objective function z = 6x - 5y at each of the vertices (0, 6), (2, 6), (-2, -2), and (5, -2) and then state the maximum and minimum values of the function.

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Solve the system of linear equations for a, b, and c. 6a - 7b + 3c = 11 7a + 3b - 6c = 24 6a - 4b + 3c = 14

Minimize

Evaluate the 2 x 2 determinant.

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Use Cramer's Rule to solve the system of equations or determine if the system is inconsistent (no solution) or dependent (infinitely many solutions).

Solve the system of linear equations by elimination.

Employ the following supply and demand equations. Demand Supply Write a system of linear inequalities corresponding to the producer surplus.

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Solve the system of linear equations by substitution.

Maximize z = 7x + 5y subject to:

Find the value of the objective function z = 8x - 4y at each of the vertices (-4, 9), (-2, -7), (-2, -5) (4, 8), and then state the maximum and minimum values of the function.

Evaluate the 2 x 2 determinant.

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Angles

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Perform the row operation R₁ + R₂ $\rightarrow$ R₂on the matrix and write the resulting matrix. $Perform the row operation R<sub>1</sub> + R<sub>2</sub> \rightarrow R<sub>2 </sub>on the matrix and write the resulting matrix.$

Perform the row operation R₁ + R₂ $\rightarrow$ R₂ on the matrix and write the resulting matrix. $Perform the row operation R<sub>1</sub> + R<sub>2</sub> \rightarrow R<sub>2</sub> on the matrix and write the resulting matrix.$

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants. $Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.$

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants. $Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.$

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants. $Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.$