Question 1

Determine whether the given point is in the solution set to the given system.
-  3x - 2y + 3z = 17 x + 4y - 2z = -8
2x - y + z = 8

Accepted Answer

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

Question 2

Solve the system.
-

Accepted Answer

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

Question 3

Write a system of inequalities whose solution set is the region shown.
-

Accepted Answer

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

Question 4

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

Accepted Answer

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

Question 5

Solve the problem.
-The sum of a student's three scores is 216. If the first is 23 points more than the second, and the sum of the first two is 21 more than twice the third, what was the first score?

Accepted Answer

A)  65 points 
B)  42 points 
C)  87 points 
D)  64 points 
A)  65 points 
B)  42 points 
C)  87 points 
D)  64 points

Question 6

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

Accepted Answer

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

Question 7

Solve the problem.
-x + 2y - z = 4 3x + 2y + z = 8

Accepted Answer

A)  {(4, 0, -1)} 
B)  {(3, 0, -2)} 
C)  {(3, 0, -1)} 
D)  {(4, 0, -2)} 
A)  {(4, 0, -1)} 
B)  {(3, 0, -2)} 
C)  {(3, 0, -1)} 
D)  {(4, 0, -2)}

Question 8

Solve the system of equations.
-4x + y = -1 4x - z = 4
Y + z = -5

Accepted Answer

A)  (x, -1 - 4x, 4x - 4) x is any real number 
B)  (x, -1 - 4x , 4x) x is any real number 
C)  (x, -1 - 4x, 4 - 4x) x is any real number 
D)  (0, -1, -4) 
A)  (x, -1 - 4x, 4x - 4) x is any real number 
B)  (x, -1 - 4x , 4x) x is any real number 
C)  (x, -1 - 4x, 4 - 4x) x is any real number 
D)  (0, -1, -4)

Question 9

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

Accepted Answer

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

Question 10

Solve the system by substitution.
-2y = 3x - 7

Accepted Answer

A)  (x, y) 2y = 3x - 7 
B)    
C)    
D)    
A)  (x, y) 2y = 3x - 7 
B)    
C)    
D)

Question 11

Graph the solution set to the given system of inequalities.
-

Accepted Answer

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

Question 12

Solve the problem.
-A breed of cattle needs at least 10 protein and 8 fat units per day. Feed type I provides 6 protein and 2 fat units at $4 per bag. Feed type II provides 2 protein and 3 fat units at $3 per bag. What mixture of Feed type I and Feed
Type II will fill the dietary needs at minimum cost?

Accepted Answer

A)  1 bag of Feed type I, 1 bag of Feed type II 
B)  1 bag of Feed type I, 2 bags of Feed type II 
C)  4 bags of Feed type I, 0 bags of Feed type II 
D)  0 bags of Feed type I, 5 bags of Feed type II 
A)  1 bag of Feed type I, 1 bag of Feed type II 
B)  1 bag of Feed type I, 2 bags of Feed type II 
C)  4 bags of Feed type I, 0 bags of Feed type II 
D)  0 bags of Feed type I, 5 bags of Feed type II

Question 13

Find the specified extreme value on the given region.
-  Maximum of T(x, y) = 6x + 3y

Accepted Answer

A)  100 
B)  33 
C)  39 
D)  15 
A)  100 
B)  33 
C)  39 
D)  15

Question 14

Solve the system of equations.
-3x + 4y + z = -11 4x - 4y - z = -17
2x + y + 5z = 16

Accepted Answer

A)    
B)  {(-4, -1, 5)} 
C)  {(-4, 5, -1)} 
D)  {(5, -1, -4)} 
A)    
B)  {(-4, -1, 5)} 
C)  {(-4, 5, -1)} 
D)  {(5, -1, -4)}

Question 15

Solve the system.
-y = 4 x - 4 y =

Accepted Answer

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

Question 16

Write a system of inequalities whose solution set is the region shown.
-

Accepted Answer

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

Question 17

Solve the system by addition.
-9x - 99 = 9y -3x - 5y = -9

Accepted Answer

A)  {(8, -3)} 
B)    
C)  {(8, -2)} 
D)  {(7, -2)} 
A)  {(8, -3)} 
B)    
C)  {(8, -2)} 
D)  {(7, -2)}

Question 18

Solve the system.
-

Accepted Answer

A)  {(0, 3), (0, -3), (-6, 3), (-6, -3)} 
B)  {(0, 3), (0, -3), (-6, 3), (6, -3)} 
C)  {(0, 3), (0, -3), (6, 3), (6, -3)} 
D)  {(0, 3), (0, -3), (6, 3), (-6, -3)} 
A)  {(0, 3), (0, -3), (-6, 3), (-6, -3)} 
B)  {(0, 3), (0, -3), (-6, 3), (6, -3)} 
C)  {(0, 3), (0, -3), (6, 3), (6, -3)} 
D)  {(0, 3), (0, -3), (6, 3), (-6, -3)}

Question 19

Write a system of inequalities whose solution set is the region shown.
-

Accepted Answer

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

Question 20

Use a system of equations to find the parabola of the form y =   + bx + c that goes through the three given points.
-(4, 101), (2, 33), (3, 62)

Accepted Answer

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

Determine whether the given point is in the solution set to the given system. - 3x - 2y + 3z = 17 x + 4y - 2z = -8 2x - y + z = 8

Solve the system. -

Write a system of inequalities whose solution set is the region shown. -

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. -The sum of a student's three scores is 216. If the first is 23 points more than the second, and the sum of the first two is 21 more than twice the third, what was the first score?

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

Solve the problem. -x + 2y - z = 4 3x + 2y + z = 8

Solve the system of equations. -4x + y = -1 4x - z = 4 Y + z = -5

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

Solve the system by substitution. -2y = 3x - 7

Graph the solution set to the given system of inequalities. -

Find the specified extreme value on the given region. - Maximum of T(x, y) = 6x + 3y

Solve the system of equations. -3x + 4y + z = -11 4x - 4y - z = -17 2x + y + 5z = 16

Solve the system. -y = 4 x - 4 y =

Write a system of inequalities whose solution set is the region shown. -

Solve the system by addition. -9x - 99 = 9y -3x - 5y = -9

Solve the system. -

Write a system of inequalities whose solution set is the region shown. -

Use a system of equations to find the parabola of the form y = + bx + c that goes through the three given points. -(4, 101), (2, 33), (3, 62)

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

Determine whether the given point is in the solution set to the given system. - 3x - 2y + 3z = 17 x + 4y - 2z = -8 2x - y + z = 8

Solve the system. -

Write a system of inequalities whose solution set is the region shown. -

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

Solve the problem. -The sum of a student's three scores is 216. If the first is 23 points more than the second, and the sum of the first two is 21 more than twice the third, what was the first score?

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

Solve the problem. -x + 2y - z = 4 3x + 2y + z = 8

Solve the system of equations. -4x + y = -1 4x - z = 4 Y + z = -5

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

Solve the system by substitution. -2y = 3x - 7

Graph the solution set to the given system of inequalities. -

Find the specified extreme value on the given region. - Maximum of T(x, y) = 6x + 3y

Solve the system of equations. -3x + 4y + z = -11 4x - 4y - z = -17 2x + y + 5z = 16

Solve the system. -y = 4 x - 4 y =

Write a system of inequalities whose solution set is the region shown. -

Solve the system by addition. -9x - 99 = 9y -3x - 5y = -9

Solve the system. -

Write a system of inequalities whose solution set is the region shown. -

Use a system of equations to find the parabola of the form y = + bx + c that goes through the three given points. -(4, 101), (2, 33), (3, 62)

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

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