Question 1

Match the graph to the linear inequality.

Accepted Answer

A)   
B)   
C)   
D)

Question 2

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

Accepted Answer

A)   
B)   
C)   
D)

Question 3

Perform the row operations  on the matrix and write the resulting matrix.

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Starbucks Coffee sells its House Blend for $9.08 per pound and its Sumatra coffee for $13.97 per pound. How many pounds of each type of coffee did a Starbucks outlet sell in one day if the total number of pounds sold was 50 and the day's receipts totaled $674.05? Let h represent the number of pounds of House Blend and s the number of pounds of Sumatra sold. Round your answer to the nearest pound.

Accepted Answer

A)  h = 45 pounds, s = 5 pounds 
B)  h = 5 pounds, s = 45 pounds 
C)  h = 35 pounds, s = 15 pounds 
D)  h = 15 pounds, s = 35 pounds

Question 5

Minimize

Accepted Answer

The answer of Minimize 
  
 ...

Question 6

Graph the linear inequality.

Accepted Answer

The answer of Graph the linear inequality.
  ...

Question 7

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solution), or dependent (infinitely many solutions).
7x + 10y - 3z = -7
-7x - 10y + 3z = 7
10x + 5y + 4z = 29

Accepted Answer

A)  (-4, 3, -3) 
B)  (3, 3, -4) 
C)  inconsistent 
D)  dependent

Question 8

Solve the system of linear equations for k, m, and n.
2k + 8m - 4n = -60
4k - 2m - 5n = 3
7k - 8m - 5n = 51

Accepted Answer

A)  (4, -6, 5) 
B)  (4, 6, 5) 
C)  (5, -6, 4) 
D)  (5, 6, 4)

Question 9

Solve the system by linear equations by substitution.

Accepted Answer

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

Question 10

Calculate A + B if

And

Accepted Answer

A)   
B)   
C)   
D)

Question 11

Write the system of linear equations represented by the augmented matrix. Utilize the variables x, y, and z.

Accepted Answer

The answer of Write the system of linear equations represented...

Question 12

Josh and Ginger decide to place $14,900 of their savings into investments. They put some in a money market account earning 5.1 % interest, some in a mutual fund that has been averaging 6.9% a year, and some in a stock that rose 9.1% last year. If they put $1,600 more in the money market than in the mutual fund and the mutual fund and stocks have the same growth in the next year as they did in the previous year, they will earn $1,006.7 in a year. How much money did they put in each of the three investments?

Accepted Answer

A)  $6,000 at 5.1%, $7,600 at 6.9%, $1,300 at 9.1% 
B)  $6,200 at 5.1%, $4,600 at 6.9%, $4,100 at 9.1% 
C)  $4,600 at 5.1%, $4,100 at 6.9%, $6,200 at 9.1% 
D)  $7,600 at 5.1%, $1,300 at 6.9%, $6,000 at 9.1%

Question 13

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

Accepted Answer

The answer of Employ the following supply and demand equations.
Demand
...

Question 14

Write the partial fraction decomposition for the given rational expression.

Accepted Answer

The answer of Write the partial fraction decomposition for the...

Question 15

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solution), or dependent (infinitely many solutions).
-6x - 7y + 2z = 6
-7x - 7y + 4z = -1
5x + 4y - 6z = 11

Accepted Answer

A)  (-2, -4, 3) 
B)  (3, -4, -2) 
C)  inconsistent 
D)  dependent

Question 16

Use Cramer's Rule to solve the system of equations.

Accepted Answer

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

Question 17

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)

Question 18

Graph the linear inequality.

Accepted Answer

The answer of Graph the linear inequality.
 ...

Question 19

Use Cramer's Rule to solve the system of equations.

Accepted Answer

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

Question 20

Write the system of linear equations as an augmented matrix.
24x - 5y = 27
10x + 3y = -28

Accepted Answer

A)   
B)   
C)   
D)

Exam 8: Systems of Linear Equations and Inequalities

Match the graph to the linear inequality.

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

Perform the row operations on the matrix and write the resulting matrix.

Minimize

Graph the linear inequality.

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solution) , or dependent (infinitely many solutions) . 7x + 10y - 3z = -7 -7x - 10y + 3z = 7 10x + 5y + 4z = 29

Solve the system of linear equations for k, m, and n. 2k + 8m - 4n = -60 4k - 2m - 5n = 3 7k - 8m - 5n = 51

Solve the system by linear equations by substitution.

Calculate A + B if And

Write the system of linear equations represented by the augmented matrix. Utilize the variables x, y, and z.

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

Write the partial fraction decomposition for the given rational expression. $Write the partial fraction decomposition for the given rational expression.$

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solution) , or dependent (infinitely many solutions) . -6x - 7y + 2z = 6 -7x - 7y + 4z = -1 5x + 4y - 6z = 11

Use Cramer's Rule to solve the system of equations.

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants. $Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants. A) B) C) D)$

Graph the linear inequality.

Use Cramer's Rule to solve the system of equations.

Write the system of linear equations as an augmented matrix. 24x - 5y = 27 10x + 3y = -28