Question 1

Solve the system by addition.
-x + 2y = 5 3x + 1y = 20

Accepted Answer

A)  {(7, -1)} 
B)    
C)  {(-7, 0)} 
D)  {(6, 0)} 
A)  {(7, -1)} 
B)    
C)  {(-7, 0)} 
D)  {(6, 0)}

Question 2

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

Accepted Answer

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

Question 3

Solve the system by graphing.
-x = -y y + x = 6

Accepted Answer

A)  {(1, 5)} 
B)    
C)  {(1, 1)} 
D)  {(x, y) | y + x = 6} 
A)  {(1, 5)} 
B)    
C)  {(1, 1)} 
D)  {(x, y) | y + x = 6}

Question 4

Solve the system by addition.
--7x + 7y = -49 3x - 5y = 21

Accepted Answer

A)  {(7, 0)} 
B)    
C)  {(6, 1)} 
D)  {(7, 1)} 
A)  {(7, 0)} 
B)    
C)  {(6, 1)} 
D)  {(7, 1)}

Question 5

Match the graph to the correct inequality.
-

Accepted Answer

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

Question 6

Solve the system of equations.
--5x - 3y + 4z = -73 25x + 15y - 20z = 365
-25x - 15y + 20z = -365

Accepted Answer

A)    
B)  {(9, 4, -4)} 
C)  {(x,y,z) | -25x - 15y + 20z = -73} 
D)  {(x,y,z) | -5x - 3y + 4z = -73} 
A)    
B)  {(9, 4, -4)} 
C)  {(x,y,z) | -25x - 15y + 20z = -73} 
D)  {(x,y,z) | -5x - 3y + 4z = -73}

Question 7

Graph the solution set of the system.
-

Accepted Answer

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

Question 8

Decompose into partial fractions.
-

Accepted Answer

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

Question 9

Graph the linear inequality.
-

Accepted Answer

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

Question 10

Perform the indicated operation and simplify.
-

Accepted Answer

A)  None of these 
B)    
C)    
D)    
A)  None of these 
B)    
C)    
D)

Question 11

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

Accepted Answer

A)  A = 2, B = -2, C = 0 
B)  A = -2, B = 2, C = 4 
C)  A = -2, B = 2, C = 0 
D)  A = 2, B = -2, C = 4 
A)  A = 2, B = -2, C = 0 
B)  A = -2, B = 2, C = 4 
C)  A = -2, B = 2, C = 0 
D)  A = 2, B = -2, C = 4

Question 12

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.
-(-2, -3) and (6, 5)

Accepted Answer

A)  y = x - 3 
B)  y = -2x - 1 
C)  y = x - 5 
D)  y = x - 1 
A)  y = x - 3 
B)  y = -2x - 1 
C)  y = x - 5 
D)  y = x - 1

Question 13

Find the partial fraction decomposition.
-

Accepted Answer

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

Question 14

Solve the system by substitution.
-8x + 7y = 2 8x + 7y = 15

Accepted Answer

A)    
B)  {(x, y) | 8x + 7y = 2} 
C)  {(1, 1)} 
D)  {(8, 7)} 
A)    
B)  {(x, y) | 8x + 7y = 2} 
C)  {(1, 1)} 
D)  {(8, 7)}

Question 15

Find the specified extreme value on the given region.
-  Minimum of

Accepted Answer

A)  -39 
B)  -27 
C)  -5 
D)  -21 
A)  -39 
B)  -27 
C)  -5 
D)  -21

Question 16

Solve the system by substitution.
-5x + 5y = 6 4x + 4y = 8

Accepted Answer

A)  {(x, y) | 5x + 5y = 6} 
B)    
C)  {(1, 1)} 
D)  {(9, 4)} 
A)  {(x, y) | 5x + 5y = 6} 
B)    
C)  {(1, 1)} 
D)  {(9, 4)}

Question 17

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary.
-

Accepted Answer

A)  {(-0.92, 0.85), (0.98, 0.95)} 
B)  {(-1.38, 1.89), (1.50, 2.25)} 
C)  {(-1.38, -1.89), (1.50, -2.25)} 
D)  {(-0.92, -0.85), (0.98, -0.95)} 
A)  {(-0.92, 0.85), (0.98, 0.95)} 
B)  {(-1.38, 1.89), (1.50, 2.25)} 
C)  {(-1.38, -1.89), (1.50, -2.25)} 
D)  {(-0.92, -0.85), (0.98, -0.95)}

Question 18

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary.
-

Accepted Answer

A)  {(-1.83, 1.64), (1.68, 2.16)} 
B)  {(0.97, 0.90)} 
C)  {(2.07, 0.69)} 
D)  {(-2.5, 1.49)} 
A)  {(-1.83, 1.64), (1.68, 2.16)} 
B)  {(0.97, 0.90)} 
C)  {(2.07, 0.69)} 
D)  {(-2.5, 1.49)}

Question 19

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

Accepted Answer

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

Question 20

Find the specified maximum and / or minimum.
-Find the minimum of P(x, y) = 25x + 23y + 9 subject to

Accepted Answer

A)  32 
B)  9 
C)  57 
D)  34 
A)  32 
B)  9 
C)  57 
D)  34

Solve the system by addition. -x + 2y = 5 3x + 1y = 20

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 system by graphing. -x = -y y + x = 6

Solve the system by addition. --7x + 7y = -49 3x - 5y = 21

Match the graph to the correct inequality. -

Solve the system of equations. --5x - 3y + 4z = -73 25x + 15y - 20z = 365 -25x - 15y + 20z = -365

Graph the solution set of the system. -

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

Graph the linear inequality. -

Perform the indicated operation and simplify. -

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

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. -(-2, -3) and (6, 5)

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

Solve the system by substitution. -8x + 7y = 2 8x + 7y = 15

Find the specified extreme value on the given region. - Minimum of

Solve the system by substitution. -5x + 5y = 6 4x + 4y = 8

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary. -

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary. -

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

Find the specified maximum and / or minimum. -Find the minimum of P(x, y) = 25x + 23y + 9 subject to

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 by addition. -x + 2y = 5 3x + 1y = 20

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

Solve the system by graphing. -x = -y y + x = 6

Solve the system by addition. --7x + 7y = -49 3x - 5y = 21

Match the graph to the correct inequality. -

Solve the system of equations. --5x - 3y + 4z = -73 25x + 15y - 20z = 365 -25x - 15y + 20z = -365

Graph the solution set of the system. -

Decompose into partial fractions. -

Graph the linear inequality. -

Perform the indicated operation and simplify. -

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

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. -(-2, -3) and (6, 5)

Find the partial fraction decomposition. -

Solve the system by substitution. -8x + 7y = 2 8x + 7y = 15

Find the specified extreme value on the given region. - Minimum of

Solve the system by substitution. -5x + 5y = 6 4x + 4y = 8

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary. -

Solve the system by graphing on a calculator. Round to the nearest hundredth if necessary. -

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

Find the specified maximum and / or minimum. -Find the minimum of P(x, y) = 25x + 23y + 9 subject to

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

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