Deck 8: Systems of Linear Equations and Inequalities

Question 1

Graph the linear inequality.

Answer 1

Question 2

Graph the linear inequality.

A)
B)
C)
D)

Answer 2

Question 3

Match the graph to the linear inequality.

A)
B)
C)
D)

Answer 3

Question 4

Graph the system of inequalities.

Question 5

Graph the system of inequalities.

A)
B)
C)
D)

Question 6

Match the graph to the system of inequalities.

A)
B)
C)
D)

Question 7

Graph the system of inequalities.

Question 8

Graph the system of inequalities.

A)
B)
C)
D)

Question 9

Match the graph to the system of inequalities.

A)
B)
C)
D)

Question 10

Graph the system of inequalities.

Question 11

Graph the system of inequalities.

A)
B)
C)
D)

Question 12

Match the graph to the system of inequalities.

A)
B)
C)
D)

Question 13

Employ the following supply and demand equations.
Demand

Supply

Write a system of linear inequalities corresponding to the consumer surplus.

Question 14

Employ the following supply and demand equations.
Demand

Supply

Write a system of linear inequalities corresponding to the consumer surplus.

A)
B)
C)
D)

Question 15

Employ the following supply and demand equations.
Demand

Supply

Write a system of linear inequalities corresponding to the producer surplus.

Question 16

Employ the following supply and demand equations.
Demand

Supply

Write a system of linear inequalities corresponding to the producer surplus.

A)
B)
C)
D)

Question 17

Find the value of the objective function z = 6x - 5y at each of the vertices (0, 6), (2, 6), (-2, -2), and (5, -2) and then state the maximum and minimum values of the function.

A) maximum 40, minimum -30
B) maximum -30, minimum 40
C) maximum 40, minimum 30
D) maximum 30, minimum -30

Question 18

Find the value of the objective function z = 3x + 5y at each of the vertices (0, 7), (7, 6), (-1, -1), and (-6, -1), and then state the maximum and minimum values of the function.

A) maximum 51, minimum 23
B) maximum -23, minimum 51
C) maximum 51, minimum -23
D) maximum -23, minimum -51

Question 19

Find the value of the objective function z = 8x - 4y at each of the vertices (-4, 9), (-2, -7), (-2, -5) (4, 8), and then state the maximum and minimum values of the function.

A) maximum -68, minimum 68
B) maximum 12, minimum 68
C) maximum -68, minimum 12
D) maximum 12, minimum -68

Question 20

Find the value of the objective function z = 6x + 4y at each of the vertices (4, 3), (-3, -7), (-3, 7) (9, -6), and then state the maximum and minimum values of the function.

A) maximum -46, minimum -36
B) maximum -46, minimum 36
C) maximum 36, minimum -46
D) maximum -46, minimum 46

Question 21

Maximize z = 7x + 5y subject to:

A) maximum 0
B) maximum 63
C) maximum 108
D) maximum 45

Question 22

Maximize z = 3x - 6y subject to:

A) maximum 3
B) maximum -3
C) maximum -6
D) maximum 6

Question 23

Find the value of the objective function z = 5x - 6y at each of the vertices (-1, -2), (-9, -3), and (7, -2), and then state the maximum and minimum values of the function.

Question 24

Maximize z = 5x - 7y subject to:

Question 25

Maximize

Question 26

Minimize

Question 27

Maximize

A) -42
B) -94
C) -90
D) -46

Question 28

Minimize

A) -17
B) -57
C) -21
D) -53

Question 29

Graph the linear inequality.

Question 30

Graph the linear inequality.

Question 31

Graph the linear inequality.

Question 32

Graph the linear inequality.

Question 33

Graph the linear inequality.

Question 34

Graph the linear inequality.

Question 35

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

A)
B)
C)
D)

Question 36

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

A)
B)
C)
D)

Question 37

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

A)
B)
C)
D)

Question 38

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

A)
B)
C)
D)

Question 39

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

A)
B)
C)
D)

Question 40

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

A)
B)
C)
D)

Question 41

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

A)
B)
C)
D)

Question 42

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

A)
B)
C)
D)

Question 43

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

A)
B)
C)
D)

Question 44

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

A)
B)
C)
D)

Question 45

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

A)
B)
C)
D)

Question 46

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

A)
B)
C)
D)

Question 47

Write the partial fraction decomposition for the given rational expression.

A)
B)
C)
D)

Question 48

Write the partial fraction decomposition for the given rational expression.

A)
B)
C)
D)

Question 49

Write the partial fraction decomposition for the given rational expression.

A)
B)
C)
D)

Question 50

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Question 51

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Question 52

Write the partial fraction decomposition for the given rational expression.

Question 53

Find the partial-fraction decomposition for the rational function.

Question 54

Find the partial-fraction decomposition for the rational function.

Question 55

Find the partial-fraction decomposition for the rational function.

Question 56

Find the partial-fraction decomposition for the rational function.

Question 57

Find the partial-fraction decomposition for the rational function.

Question 58

Find the partial-fraction decomposition for the rational function.

Question 59

Find the partial-fraction decomposition for the rational function.

Question 60

Evaluate the 2 x 2 determinant.

A) 11
B) -11
C) -31
D) 31

Question 61

Evaluate the 2 x 2 determinant.

A) 13
B) -13
C) -27
D) 27

Question 62

Evaluate the 2 x 2 determinant.

A) 13
B) -3
C) -13
D) 3

Question 63

Evaluate the 2 x 2 determinant.

A) -7.05
B) 5.43
C) 7.05
D) -2.2

Question 64

Evaluate the 2 x 2 determinant.

A) -14.66
B) -11.8
C) -1.8
D) 14.66

Question 65

Evaluate the 2 x 2 determinant.

A) -75
B) 75
C) -7.4
D) -47.84

Question 66

Evaluate the 2 x 2 determinant.

A)
B)
C)
D)

Question 67

Evaluate the 2 x 2 determinant.

A)
B)
C)
D)

Question 68

Evaluate the 2 x 2 determinant.

A) 84
B) 0
C) -84
D) 30

Question 69

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solutions), or dependent (infinitely many solutions).
-5x - 6y = -29
-6x - 2y = -40

A) (-1, 7)
B) (7, -1)
C) inconsistent
D) dependent

Question 70

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solutions), or dependent (infinitely many solutions).
-14x - 6y = -78
14x + 6y = 78

A) (6, 3)
B) (3, 6)
C) inconsistent
D) dependent

Question 71

Use Cramer's Rule to either solve the system of equations, determine if the system is inconsistent (no solutions), or dependent (infinitely many solutions).
7x + 6y = 61
14x + 12y = -122

A) (7, 5)
B) (5, 7)
C) inconsistent
D) dependent

Question 72

Evaluate the 3 x 3 determinant.

A) -224
B) 216
C) -320
D) -280

Question 73

Evaluate the 3 x 3 determinant.

A) 2
B) 418
C) 550
D) 326

Question 74

Evaluate the 3 x 3 determinant.

A) 36
B) 204
C) 180
D) 108

Question 75

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

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

Question 76

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

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

Question 77

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 + 5z = -50
-7x + 10y - 5z = -1
8x + 8y - 10z = -46

A) (-5, 3, 3)
B) (3, 3, -5)
C) inconsistent
D) dependent

Question 78

Evaluate the

determinant.

Question 79

Use Cramer's Rule to solve the system of equations or determine if the system is inconsistent (no solution) or dependent (infinitely many solutions).

Question 80

Evaluate the

determinant.