Question 1

Solve the system of equations.
-2x + 8y + 10z = 112 x + 4y + 5z = -28
X + y + z = -4

Accepted Answer

A)  {(-4, -2, 3)} 
B)  {(3, -2, -4)} 
C)  {(-4, 3, -2)} 
D)    
A)  {(-4, -2, 3)} 
B)  {(3, -2, -4)} 
C)  {(-4, 3, -2)} 
D)

Question 2

Find A, B, and C for the partial fraction decomposition.
-

Accepted Answer

A)    
B)    
C)  A = 1, B = 2, C = 3 
D)  A = 3, B = 1, C = 2 
A)    
B)    
C)  A = 1, B = 2, C = 3 
D)  A = 3, B = 1, C = 2

Question 3

Solve the problem.
-

Accepted Answer

A)  {(2, 4, 4), (-2, -4, 4)} 
B)  {(2, 4, 4), (-4, -2, 4)} 
C)  {(-2, -4, 4), (4, 2, 4)} 
D)  {(2, 4, 4), (4, 2, 4)} 
A)  {(2, 4, 4), (-2, -4, 4)} 
B)  {(2, 4, 4), (-4, -2, 4)} 
C)  {(-2, -4, 4), (4, 2, 4)} 
D)  {(2, 4, 4), (4, 2, 4)}

Question 4

Find a system of inequalities to describe the given region.
-Points in the first quadrant whose distance from the   is less than 3 units

Accepted Answer

A) x > 0, y > 0, y 0, y > 0, x 0, y > 0, x < 3, y < 3 D) A) x > 0, y > 0, y 0, y > 0, x 0, y > 0, x < 3, y < 3 D)

Question 5

Provide an appropriate response.
-If the graphs of a system of two equations are both parabolas, what are the possible numbers of solutions with
real coordinates of this system?

Accepted Answer

0, 1, 2, 3

Question 6

Find the specified maximum and / or minimum.
-Find the maximum and minimum of P(x, y) = 20x - 20y subject to   and

Accepted Answer

A)  100, 0 
B)  -120, 0 
C)  -75, -120 
D)  100, -120 
A)  100, 0 
B)  -120, 0 
C)  -75, -120 
D)  100, -120

Question 7

Find the unknowns on the right side of the partial fraction decomposition.
-

Accepted Answer

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

Question 8

Find the partial fraction decomposition.
-

Accepted Answer

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

Question 9

Find the unknowns on the right side of the partial fraction decomposition.
-

Accepted Answer

A)  A = -1, B = -4 
B)  A = 1, B = 4 
C)  A = 1, B = -4 
D)  A = -1, B = 4 
A)  A = -1, B = -4 
B)  A = 1, B = 4 
C)  A = 1, B = -4 
D)  A = -1, B = 4

Question 10

Solve the problem.
-Find the length and width of a box whose volume is   whose surface area is   , and whose height is 15 ft.

Accepted Answer

A)  45 ft and 40 ft 
B)  22.5 ft and 80 ft 
C)  42 ft and 42 ft 
D)  90 ft and 20 ft 
A)  45 ft and 40 ft 
B)  22.5 ft and 80 ft 
C)  42 ft and 42 ft 
D)  90 ft and 20 ft

Question 11

Solve the system by addition.
-  3   = 7

Accepted Answer

A)    
B)  (18, 0) 
C)  (0, 24) 
D)    
A)    
B)  (18, 0) 
C)  (0, 24) 
D)

Question 12

Solve the problem.
-The sum of the squares of the digits of a positive two-digit number is 13, and the units digit is 1 more than the tens digit. Find the number.

Accepted Answer

A)  23 
B)  43 
C)  32 
D)  34 
A)  23 
B)  43 
C)  32 
D)  34

Question 13

Solve the system.
-  x + y = 2

Accepted Answer

A)  4, -2 , -2, 4 
B)  3, -1 , -3, 5 
C)  4, -2 
D)  -2, 4 
A)  4, -2 , -2, 4 
B)  3, -1 , -3, 5 
C)  4, -2 
D)  -2, 4

Question 14

Solve the system of equations.
-9x - 9y - 7z = 9 4x + 9y - 9z = 7
45x - 45y - 35z = 6

Accepted Answer

A)  {(5, 5, -1)} 
B)    
C)  {(9, 7, 6)} 
D)  {(x,y,z) | 9x - 9y - 7z = 9} 
A)  {(5, 5, -1)} 
B)    
C)  {(9, 7, 6)} 
D)  {(x,y,z) | 9x - 9y - 7z = 9}

Question 15

Classify the system as independent, inconsistent, or dependent.
-x - 3y = 6 3y + 1 = x

Accepted Answer

A)  Independent 
B)  Dependent 
C)  Inconsistent 
A)  Independent 
B)  Dependent 
C)  Inconsistent

Question 16

Solve the system of equations.
-x - y + 2z = 2 -3x + 3y - 6z = 2
X + 2y + z = -2

Accepted Answer

A)  {(2, -2, 0)} 
B)  {(0, -2, 2)} 
C)  {(2, 0, -2)} 
D)    
A)  {(2, -2, 0)} 
B)  {(0, -2, 2)} 
C)  {(2, 0, -2)} 
D)

Question 17

Graph the linear inequality.
-

Accepted Answer

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

Question 18

Solve the problem.
-A vineyard produces two special wines, a white and a red. A bottle of the white wine requires 14 pounds of grapes and 1 hour of processing time. A bottle of red wine requires 25 pounds of grapes and 2 hours of
Processing time. The vineyard has on hand 2,198 pounds of grapes and can allot 160 hours of processing time to
The production of these wines. A bottle of the white wine sells for $11.00, while a bottle of the red wine sells for
$20.00. How many bottles of each type should the vineyard produce in order to maximize gross sales?

Accepted Answer

A)  42 bottles of white, 59 bottles of red 
B)  132 bottles of white, 14 bottles of red 
C)  76 bottles of white, 42 bottles of red 
D)  14 bottles of white, 132 bottles of red 
A)  42 bottles of white, 59 bottles of red 
B)  132 bottles of white, 14 bottles of red 
C)  76 bottles of white, 42 bottles of red 
D)  14 bottles of white, 132 bottles of red

Question 19

Decompose into partial fractions.
-

Accepted Answer

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

Question 20

Solve the problem.
-Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $96 for 3 days and 300 miles, while Mary was charged $169 for 5 days and 600 miles. What does Best Rental charge per day and
Per mile?

Accepted Answer

A)  $22 per day, 10¢ per mile 
B)  $23 per day, 9¢ per mile 
C)  $24 per day, 10¢ per mile 
D)  $9 per day, 23¢ per mile 
A)  $22 per day, 10¢ per mile 
B)  $23 per day, 9¢ per mile 
C)  $24 per day, 10¢ per mile 
D)  $9 per day, 23¢ per mile

Solve the system of equations. -2x + 8y + 10z = 112 x + 4y + 5z = -28 X + y + z = -4

Find A, B, and C for the partial fraction decomposition. - $Find A, B, and C for the partial fraction decomposition. -$

Solve the problem. -

Find a system of inequalities to describe the given region. -Points in the first quadrant whose distance from the is less than 3 units

Provide an appropriate response. -If the graphs of a system of two equations are both parabolas, what are the possible numbers of solutions with real coordinates of this system?

Find the specified maximum and / or minimum. -Find the maximum and minimum of P(x, y) = 20x - 20y subject to and

Find the unknowns on the right side of the partial fraction decomposition. - $Find the unknowns on the right side of the partial fraction decomposition. -$

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

Find the unknowns on the right side of the partial fraction decomposition. - $Find the unknowns on the right side of the partial fraction decomposition. -$

Solve the problem. -Find the length and width of a box whose volume is whose surface area is , and whose height is 15 ft.

Solve the system by addition. - 3 = 7

Solve the problem. -The sum of the squares of the digits of a positive two-digit number is 13, and the units digit is 1 more than the tens digit. Find the number.

Solve the system. - x + y = 2

Solve the system of equations. -9x - 9y - 7z = 9 4x + 9y - 9z = 7 45x - 45y - 35z = 6

Classify the system as independent, inconsistent, or dependent. -x - 3y = 6 3y + 1 = x

Solve the system of equations. -x - y + 2z = 2 -3x + 3y - 6z = 2 X + 2y + z = -2

Graph the linear inequality. -

Decompose into partial fractions. - $Decompose into partial fractions. -$

Solve the problem. -Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $96 for 3 days and 300 miles, while Mary was charged $169 for 5 days and 600 miles. What does Best Rental charge per day and Per mile?

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters

Exam 8: Systems of Equations and Inequalities

Solve the system of equations. -2x + 8y + 10z = 112 x + 4y + 5z = -28 X + y + z = -4

Find A, B, and C for the partial fraction decomposition. -

Solve the problem. -

Find a system of inequalities to describe the given region. -Points in the first quadrant whose distance from the is less than 3 units

Provide an appropriate response. -If the graphs of a system of two equations are both parabolas, what are the possible numbers of solutions with real coordinates of this system?

Find the specified maximum and / or minimum. -Find the maximum and minimum of P(x, y) = 20x - 20y subject to and

Find the unknowns on the right side of the partial fraction decomposition. -

Find the partial fraction decomposition. -

Find the unknowns on the right side of the partial fraction decomposition. -

Solve the problem. -Find the length and width of a box whose volume is whose surface area is , and whose height is 15 ft.

Solve the system by addition. - 3 = 7

Solve the problem. -The sum of the squares of the digits of a positive two-digit number is 13, and the units digit is 1 more than the tens digit. Find the number.

Solve the system. - x + y = 2

Solve the system of equations. -9x - 9y - 7z = 9 4x + 9y - 9z = 7 45x - 45y - 35z = 6

Classify the system as independent, inconsistent, or dependent. -x - 3y = 6 3y + 1 = x

Solve the system of equations. -x - y + 2z = 2 -3x + 3y - 6z = 2 X + 2y + z = -2

Graph the linear inequality. -

Decompose into partial fractions. -

Solve the problem. -Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $96 for 3 days and 300 miles, while Mary was charged $169 for 5 days and 600 miles. What does Best Rental charge per day and Per mile?

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters

Find A, B, and C for the partial fraction decomposition. - $Find A, B, and C for the partial fraction decomposition. -$

Find the unknowns on the right side of the partial fraction decomposition. - $Find the unknowns on the right side of the partial fraction decomposition. -$

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

Find the unknowns on the right side of the partial fraction decomposition. - $Find the unknowns on the right side of the partial fraction decomposition. -$

Decompose into partial fractions. - $Decompose into partial fractions. -$