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Worksheets

Matrices 2 x 2 Real World Applications

Total questions: 24

Worksheet time: 1hrs 2mins

Name
Class
Date
1.
a)

A

b)

B

c)

C

d)

D

e)

E

2.
a)

A

b)

B

c)

C

d)

D

e)

E

3.
a)

A

b)

B

c)

C

d)

D

e)

E

4.
a)

A

b)

B

c)

C

d)

D

e)

E

5.
a)

A

b)

B

c)

C

d)

D

e)

E

6.
a)

A

b)

B

c)

C

d)

D

e)

E

7.
a)

A

b)

B

c)

C

d)

D

e)

E

8.
a)

A

b)

B

c)

C

d)

D

e)

E

9.

Algebra High cheerleaders are selling sweatshirts for the Football Team. The inventory of sweatshirts as well as sweatshirts sold on A-Days and B-Days are given in the matrices. Which matrix shows the total of sweatshirts sold in each category, color/size, by the cheerleaders?

a)
b)
c)
d)
10.

Which matrix shows the inventory of sweatshirts remaining after the A-Day sales?

a)
b)
c)
d)
11.

Which matrix shows the inventory of sweatshirts remaining after the B-Day sales?

a)
b)
c)
d)
12.

Which matrix shows the inventory of sweatshirts remaining after both A-Day & B-Day sales?

a)
b)
c)
d)
13.

The cheerleaders sold out of which of the following sweatshirts? (refer to your answer from Question 12)

a)

Sm Gray

b)

XL Black

c)

XXL Yellow

d)

Med Yellow

e)

They did not sell out of any sweatshirts.

14.

How many black sweatshirts were sold in total by both A-Day & B-Day cheerleaders?

a)

113

b)

45

c)

68

d)

Can't Be Determined.

15.

How many small sweatshirts were sold in total by both A-Day & B-Day cheerleaders?

a)

39

b)

30

c)

69

d)

Can't Be Determined.

16.

Who sold the most sweatshirts?

a)

A-Day

b)

B-Day

c)

Can't Be Determined.

17.

Of the gray sweatshirts sold, which size had the most sales?

a)

Small

b)

Medium

c)

Large

d)

XL

e)

XXL

18.

What does SOLD B-DAY[2, 3] represent?

a)

11 L Yellow Sweatshirt Sold

b)

10 Med Gray Sweatshirts Sold

c)

14 Med Gray Sweatshirts Sold

d)

13 L Yellow Sweatshirts Sold

19.

find the value of m, n, p and q.

a)

m=8, n=9, p=-4, q=4

b)

m=15, n = -45, p=20, q=-5

c)

m=20, n=-5, p=15, q=-45

d)

m=-5, n=20, p=-45, q=15

20.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The size must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

21.

Find the value of x and y if

a)

x=2 , y=5

b)

x=3, y=3

c)

x=3, y=5

d)

x=5, y=3

22.
What do w, x, y and z equal in this matrix subtraction?
a)
w = 13, x = 4, y = 7, z = 23
b)
w = 13, x = -4, y = 11, z = 23
c)
w = 13, x = 4, y = 11, z = 23
d)
w = 13, x = 4, y = 11, z = 17
23.
find: B*A
a)
47     30
9     5
b)
17     15
42     35
c)
10     25
7     1
d)
not possible because rows do not match columns
24.
Find the product.
a)
undefined
b)
-3   16
17   12
8   -10
c)
3   12 
-15  -8
-1   -3