Question 1

Graph the solution set of the system.
-

Accepted Answer

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

Question 2

Solve the problem.
-Anne and Carol can paint a room in 15 hours working together. Anne takes 6 hours longer to paint the room working alone than it takes Carol working alone. How long does it take Carol to paint the room by herself?

Accepted Answer

A)  27 hr 
B)    
C)  33 hr 
D)    
A)  27 hr 
B)    
C)  33 hr 
D)

Question 3

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of
equations.
-(-8, -8) and (-7, -6)

Accepted Answer

A)  y = 2x + 8 
B)  y = 2x - 24 
C)  y = 4x + 8 
D)  y = 2x - 8 
A)  y = 2x + 8 
B)  y = 2x - 24 
C)  y = 4x + 8 
D)  y = 2x - 8

Question 4

Determine whether the given point is in the solution set to the given system.
-(-2, -1, 5) x - y + z = 4
2x - 8y - 3z = 24
3x + 4y + 2z = 7

Accepted Answer

A)  No 
B)  Yes 
A)  No 
B)  Yes

Question 5

Use a graphing calculator to graph the system of inequalities.
-

Accepted Answer

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

Question 6

Solve the system of equations.
-x - y + 2z = 10 2x + z = 4
X + 5y + z = -6

Accepted Answer

A)    
B)  {(0, -2, 4)} 
C)  {(4, -2, 0)} 
D)  {(4, 0, -2)} 
A)    
B)  {(0, -2, 4)} 
C)  {(4, -2, 0)} 
D)  {(4, 0, -2)}

Question 7

Graph the solution set of the system.
-

Accepted Answer

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

Question 8

Solve the problem.
-A doctor has told a sick patient to take vitamin pills. The patient needs at least 26 units of vitamin A, at least 7 units of vitamin B, and at least 25 units of vitamin C. The red vitamin pills cost 10¢ each and contain 6 units of
A, 1 unit of B, and 3 units of C. The blue vitamin pills cost 20¢ each and contain 3 units of A, 1 unit of B, and 5
Units of C. How many pills should the patient take each day to minimize costs?

Accepted Answer

A)  2 red, 5 blue 
B)  6 red, 1 blue 
C)  5 red, 2 blue 
D)  7 red, 0 blue 
A)  2 red, 5 blue 
B)  6 red, 1 blue 
C)  5 red, 2 blue 
D)  7 red, 0 blue

Question 9

Use a graphing calculator to graph the system of inequalities.
-

Accepted Answer

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

Question 10

Graph the solution set of the system.
-

Accepted Answer

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

Question 11

Find a system of inequalities to describe the given region.
-Points inside the triangle that has vertices (0, 0), (0, 8), and (2, 0).

Accepted Answer

A)  x > 0, y > 0, y  0, y > 0, y  0, y > 0, y  0, y > 0, y > - 4x + 8 
A)  x > 0, y > 0, y  0, y > 0, y  0, y > 0, y  0, y > 0, y > - 4x + 8

Question 12

Solve the problem.
-A $152,000 trust is to be invested in bonds paying 9%, CDs paying 7%, and mortgages paying 10%. The bond and CD investment together must equal the mortgage investment. To earn a $13,660 annual income from the
Investments, how much should the bank invest in bonds?

Accepted Answer

A)  $35,000 
B)  $37,000 
C)  $39,000 
D)  $76,000 
A)  $35,000 
B)  $37,000 
C)  $39,000 
D)  $76,000

Question 13

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

Accepted Answer

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

Question 14

Solve the system.
-

Accepted Answer

A)  {(2, 0), (-2, 0), (1, 0), (-1, 0)} 
B)  {(1, 0), (-1, 0)} 
C)  {(2, 1), (-2, -1), (1, 2), (-1, -2)} 
D)  {(2, 1), (1, 2)} 
A)  {(2, 0), (-2, 0), (1, 0), (-1, 0)} 
B)  {(1, 0), (-1, 0)} 
C)  {(2, 1), (-2, -1), (1, 2), (-1, -2)} 
D)  {(2, 1), (1, 2)}

Question 15

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

Accepted Answer

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

Question 16

Decompose into partial fractions.
-

Accepted Answer

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

Question 17

Solve the system by graphing the equations on a graphing calculator and estimating the point of intersection. Round to
the nearest hundredth.
--7.86x - 3.48y = 8 5.38x - 7.63y = 3

Accepted Answer

A)  {(0.64, 0.85)} 
B)  {(0.85, -0.64)} 
C)  {(-0.85, -0.64)} 
D)  {(-0.64, -0.85)} 
A)  {(0.64, 0.85)} 
B)  {(0.85, -0.64)} 
C)  {(-0.85, -0.64)} 
D)  {(-0.64, -0.85)}

Question 18

Provide an appropriate response.
-Which one of the following is a description of the graph of the inequality?

Accepted Answer

A)  the region outside a circle with center (-3, -4) 
B)  the region inside the circle with center (3, 4)and radius 6 and radius 6 
C)  the region inside a circle with center (-3, -4) 
D)  the region outside a circle with center (3, 4)and radius 6 and radius 6 
A)  the region outside a circle with center (-3, -4) 
B)  the region inside the circle with center (3, 4)and radius 6 and radius 6 
C)  the region inside a circle with center (-3, -4) 
D)  the region outside a circle with center (3, 4)and radius 6 and radius 6

Question 19

Find the ordered triple that belongs to the set.
-{x, 2x - 7, x - 8|x = 2}

Accepted Answer

A)  (-6, 2, -3) 
B)  (2, -6, -3) 
C)  (2, -3, -6) 
D)  (-6, -3, 2) 
A)  (-6, 2, -3) 
B)  (2, -6, -3) 
C)  (2, -3, -6) 
D)  (-6, -3, 2)

Question 20

Find the partial fraction decomposition.
-

Accepted Answer

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

Graph the solution set of the system. -

Solve the problem. -Anne and Carol can paint a room in 15 hours working together. Anne takes 6 hours longer to paint the room working alone than it takes Carol working alone. How long does it take Carol to paint the room by herself?

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of equations. -(-8, -8) and (-7, -6)

Determine whether the given point is in the solution set to the given system. -(-2, -1, 5) x - y + z = 4 2x - 8y - 3z = 24 3x + 4y + 2z = 7

Use a graphing calculator to graph the system of inequalities. -

Solve the system of equations. -x - y + 2z = 10 2x + z = 4 X + 5y + z = -6

Graph the solution set of the system. -

Use a graphing calculator to graph the system of inequalities. -

Graph the solution set of the system. -

Find a system of inequalities to describe the given region. -Points inside the triangle that has vertices (0, 0), (0, 8), and (2, 0).

Solve the problem. -A $152,000 trust is to be invested in bonds paying 9%, CDs paying 7%, and mortgages paying 10%. The bond and CD investment together must equal the mortgage investment. To earn a $13,660 annual income from the Investments, how much should the bank invest in bonds?

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

Solve the system. -

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. - $Decompose into partial fractions. -$

Solve the system by graphing the equations on a graphing calculator and estimating the point of intersection. Round to the nearest hundredth. --7.86x - 3.48y = 8 5.38x - 7.63y = 3

Provide an appropriate response. -Which one of the following is a description of the graph of the inequality?

Find the ordered triple that belongs to the set. -{x, 2x - 7, x - 8|x = 2}

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

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

Graph the solution set of the system. -

Solve the problem. -Anne and Carol can paint a room in 15 hours working together. Anne takes 6 hours longer to paint the room working alone than it takes Carol working alone. How long does it take Carol to paint the room by herself?

For the given pair of points, find the equation of the line y = ax + b that goes through the points by solving a system of equations. -(-8, -8) and (-7, -6)

Determine whether the given point is in the solution set to the given system. -(-2, -1, 5) x - y + z = 4 2x - 8y - 3z = 24 3x + 4y + 2z = 7

Use a graphing calculator to graph the system of inequalities. -

Solve the system of equations. -x - y + 2z = 10 2x + z = 4 X + 5y + z = -6

Graph the solution set of the system. -

Use a graphing calculator to graph the system of inequalities. -

Graph the solution set of the system. -

Find a system of inequalities to describe the given region. -Points inside the triangle that has vertices (0, 0), (0, 8), and (2, 0).

Solve the problem. -A $152,000 trust is to be invested in bonds paying 9%, CDs paying 7%, and mortgages paying 10%. The bond and CD investment together must equal the mortgage investment. To earn a $13,660 annual income from the Investments, how much should the bank invest in bonds?

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

Solve the system. -

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

Decompose into partial fractions. -

Solve the system by graphing the equations on a graphing calculator and estimating the point of intersection. Round to the nearest hundredth. --7.86x - 3.48y = 8 5.38x - 7.63y = 3

Provide an appropriate response. -Which one of the following is a description of the graph of the inequality?

Find the ordered triple that belongs to the set. -{x, 2x - 7, x - 8|x = 2}

Find the partial fraction decomposition. -

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

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

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