QUESTION 1

1. Which of the following is the correct matrix representation of the children movie ticket sales for all three days?

   	Ticket Sales for Thursday Children Adults		Ticket Sales for Friday Children Adults		Ticket Sales for Saturday Children Adults
   Regular	257	183	355	402	398	423
   Matinee	135	168	242	311	376	386

   
   

2 points

QUESTION 2

1. What is the correct matrix for the inventory of flats in sizes 10 and 12.

   	Boots Blue Gray	Flats Blue Gray	Sneakers Blue Gray
   Shoes Size 10	3 5	9 10	1 4
   Shoes Size 12	2 0	2 7	4 0

   
   

2 points

QUESTION 3

1. Evaluate
   

   		Not possible

2 points

QUESTION 4

1. If B =
   find -3B.
   

2 points

QUESTION 5

1. Evaluate
   

   		Not possible

2 points

QUESTION 6

1. Matrix A has dimensions 5 x 4. Matrix B has dimensions 4 x 3. These two matrices can be multiplied.
   

   		True
   		False

2 points

QUESTION 7

1. Matrix A has dimensions 3 x 2. Matrix B has dimensions 3 x 2. A x B will have dimensions 3 x 2.
   

   		TRUE
   		FALSE

2 points

QUESTION 8

1. Evaluate
   

2 points

QUESTION 9

1. Evaluate
   

   		Not possible

2 points

QUESTION 10

1. Evaluate
   

2 points

QUESTION 11

1. Evaluate
   

2 points

QUESTION 12

1. Does the matrix have an inverse?
   

   		yes
   		no

2 points

QUESTION 13

1. Does the matrix have an inverse?
   

   		Yes
   		No

2 points

QUESTION 14

1. Find the determinant of
   

   		0
   		1
   		-4
   		8

2 points

QUESTION 15

1. Find the determinant of
   

   		-10
   		6
   		10
   		18

2 points

QUESTION 16

1. The following system of equations is consistent.
   

   		True
   		False

2 points

QUESTION 17

1. The following system of equations is inconsistent.
   

   		True
   		False

2 points

QUESTION 18

1. Does the following system have a solution?
   

   		yes
   		no

2 points

QUESTION 19

1. Does the following system have a solution?
   

   		yes
   		no

2 points

QUESTION 20

1. What is the approximate solution to the system of equations graphed below?
   

   		(-2.6, 3.3)
   		(-3.3, 3,3)
   		(3.3, -2.6)
   		(3.3, -3.3)

2 points

QUESTION 21

1. What is the approximate solution to the system of equations graphed below?
   

   		(1.1, 1.5)
   		(1.5, 1.1)
   		(0, -1)
   		(2, 0)

2 points

QUESTION 22

1. What is the approximate solution of the following system of equations?
   

   		(-.7, -1.7)
   		(.7, 1.7)
   		(.7, -1.7)
   		(-.7, 1.7)

2 points

QUESTION 23

1. Solve 4x + 3y = 13 x + y = 4by the substitution method.
   

   		(3, 1)
   		(0, 4)
   		(3, 0)
   		(1, 3)

2 points

QUESTION 24

1. Solve the following system of equations by using the substitution method.
   x = 4 – 2y
   4x + 8y = 20
   

   		Consistent
   		(4, 0)
   		(0, 2)
   		Inconsistent

2 points

QUESTION 25

1. Solve the following system of equations by using the substitution method.
   x = y + 3
   2x + y = 9
   

   		(4, 1)
   		(5, 2)
   		(3, -2)
   		Inconsistent

2 points

QUESTION 26

1. Solve y = 3x – 122x – 3y = -13by the substitution method.
   

   		(2, -6)
   		(7, 9)
   		(0, -12)
   		(5, 3)

2 points

QUESTION 27

1. What would be the first step to solve this system of equations by the Substitution Method?
   3x + 4y = -1
   x + 3y = 3
   

   		Solve the second equation for x.
   		Divide the first equation by 4.
   		Add the two equations together.
   		Multiply the second equation by -3.

2 points

QUESTION 28

1. What would be the first step to solve this system of equations by the Substitution Method?
   x + y = -1
   6x – 2y = 18
   

   		Multiply the first equation by 2.
   		Solve the first equation for x.
   		Multiply the second equation by 3.
   		Add the two equations together.

2 points

QUESTION 29

1. What would be the first step to solve this system of equations by the Substitution Method?
   10x – 2y = 8
   4x – 10y = -6
   

   		Add the two equations together.
   		Solve the first equation for y.
   		Multiply the first equation by -5
   		Multiply the second equation by 5

2 points

QUESTION 30

1. Solve 9x + 2y = 2
   21x + 6y = 4
   by the elimination methods.
   

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