Name:___________________________
Hr:____
Non- Calculator Portion
1. Matrices A and B are shown below.
A=
-9 3
0 -1
B=
Date:__________
2. Determine the following:
5 -1
-2 -4
-4
-3
2
-6
0
7
–
-5
4
-1 3
-2 -2
Create a matrix that represents A + B?
3. If A =
-1 1
7 -9
-3 3
1
-7
C)
-9 1
1 -8
3
-4
-3
9
B)
1
-7
3
-4
-3
5
3
5
D)
1
1
3
-8
-3
9
4. Matrices A and B are shown below.
find -5A.
A=
A)
-5
5
35 -45
-15 15
B)
-6 -4
2 -14
-8 -2
C)
5
-5
-35 45
15 -15
D)
-5 -15
-35 45
15 -5
5. Determine the following.
2
A)
-2 -1
3 -4
8 5
-8 -6
7 -1
B=
4 3
Create the matrix that represents A – B.
6. Determine the following:
6 5 -1 7
-3 0 1 -4
-2
-7
1
0
4
-5
A)
-6
-1
+
-4
6
-1
2
-1
-5
B)
0
2
-3 -10
C)
D)
-2
-7
0
2
-6
-1
0
2
-3
0
3 -10
-6 0
-13 2
-5
0
Calculator Portion
7. At the airport they have the following data about
three airplanes. They have the B747 which has 462
seats, speed of 512 mph, and flight distance of 2297
miles. They have the MD-11 which has 259 seats,
speed of 527 mph, and the flight distance of 3073
miles. Lastly, is the F202 which has 82 seats, speed
of 635 mph, and flight distance of 5010 miles.
Create a matrix.
8. Henry attends school Jackson College Costs in 2012
at Jackson College. To
Credit Hours
complete hours towards
2
3
4
his major he needs to
Courses
take multiple math,
Math $40 $60 $70
science, and literature
Science $70 $90 $130
classes. The prices
Literature $30 $30 $45
for 2012 are represented
in the given matrix.
However, according the
newspaper, the college
plans to double the
cost of each class for
the year 2013.
Create a new matrix showing
the costs of taking classes in 2013.
9. The matrices below compare the teen consumption of water and energy drinks in 1990 and 2010.
TEEN CONSUMPTION OF WATER AND ENERGY DRINKS
(in ounces per day)
1990
Boys Girls
2010
Boys Girls
Water
14
10
Water
9
7
Energy
7
6
Energy 18
12
A) Water
Energy
4 by 6
Rachel
Katie
Tiesha
Betty
12
8
5
10
5 by 7
8 by 10
5
7
6
4
2
1
4
3
Who spent the most on photos?
A)
B)
C)
D)
Rachel
Katie
Tiesha
Betty
5
3
11
6
Boys Girls
B)
Water
5
23
17
Energy 25
18
C) Water
3
Energy -11
Boys Girls
Which of these matrices shows the change in the
number of ounces of each drink consumed by teens
from 1990 to 2010?
10. At Glamour studios 6 x 4 photos cost
$2 each, 5 x 7 photos cost $5 each, and 8 x
10 cost $12 each.
Boys Girls
-6
Boys Girls
D)
Water
-5
Energy
11
-3
6
11. In Rob’s class, 18 of the 30 students are boys. In Beth’s class
21 of the 32 students are girls.
Which matrix represents this situation?
A)
Rob’s Class
Boys Girls
B)
Boys Girls
12
18
Rob’s Class
16
21
Beth’s Class 11
16
Beth’s Class
11
12
C)
Boys Girls
D)
Boys Girls
Rob’s Class
18
12
Rob’s Class
18
30
Beth’s Class
11
21
Beth’s Class 32
21
12. Joannie owns two flower shops Flowers Forever and the
Happy Hibiscus. At both stores she sells leis, vases of roses, and
orchids. She records the amount of each item that were sold this
weekend at both stores.
Flowers Forever
Sat
Sun
Leis
Rose Vases
Orchids
25
15
18
13
24
20
13. In Waikiki there is a restaurant called
Surf’n Turf. The matrix shows the number
of orders they took over the weekend.
Happy Hibiscus
Sat
Sun
Leis
Rose Vases
Orchids
45
19
27
Sat
Burgers
127
138 106
Hotdogs
85
104
98
Fries
207
235
214
Drinks
245
306
294
33
17
22
Fri
Create a new matrix showing the total number of each item sold this
weekend at both stores.
Sun
If the restaurant makes a profit of $3 for
every burger, $4 for every hotdog, $2 for
each order of fries, and $0.50 for each
drink, how much money did they bring in
on Saturday?
14. Gina is throwing a party and needs the
following items: pizza, balloons, and plates.
Safeway Times
Pizza $90
Balloons $45
Plates $18
$85
$36
$20
A) $1453
B) $783
C) $1715
D) $1285
15. The following matrix shows the cost of the t-shirts you
can order through a company on the internet.
Foodland
$70
$58
$22
S
M
L
XL
Black $7
White $6
Gray $9
$8
$6
$9
$8
$6
$9
$10
$8
$9
If you plan on buying 3 large white shirts for yourself, how
much would it cost?
How much would it cost her if she purchased
everything at Foodland?
A) $24
B) $18
C) $30
D) $23
16. At the end of each day, Molly’s Sock Shop counts how many socks they have left in the store. The results of
the Wednesday and Thursday counts are shown in the matrices below. The shop received no new socks on either
day.
Create a new matrix showing how many of
Wednesday’s Count
Thursday’s Count
each type of sock was sold on the given
two days.
Long Short
Long Short
Red
38
68
Red
24
61
Yellow
32
39
Yellow
30
28
Blue
41
47
Blue
29
32
White
31
39
White
21
29
17. Airways airlines has posted the following flight information to its
customers for the month of June. (½ pt each)
Destinations
Seat Class Hawaii New York Florida
First
$1500 $900
$750
Business
$1175 $750
$500
Economy
$870
$525
$375
18. These are the percentages for 4
students in the given classes. What is
the difference between Bill’s and Jack’s
science grades?
Bill
Sue
Jack
98% 73%
Math
Science 85% 89%
English 95% 80%
65%
71%
63%
Bree
82%
94%
87%
A) Which is the cheapest destination? _____________________
B) How much is a business class seat to New York? _________
A) 33% higher
B) 33% less
C) 14% higher
D) 14% less
C) Which ticket costs $500?_______________
D) If you have a budget of $1200 for a flight to Hawaii, which seat
classes could you purchase a ticket for?_______________________
19. At a local business they have three types of jobs: secretary, customer service representative, and manager. A
secretary with a high school diploma makes $22,000 per year and with a college degree he or she makes $26,000. A
customer service representative with a high school diploma makes $25,500 per year and with a college degree he or
she makes $28,000. A manager with a high school diploma makes $31,000 per year and with a college degree he or
she makes $34,800.
A) Create a matrix representing the salaries for these positions with the different levels of education.
B) Refer to the matrix you created in part A. The manager has to hire a secretary and two customer service
representatives. Below are the people who applied for the jobs and their education level. If the manager has in the
budget only $77,000 total to pay for the yearly salaries of these three positions who do you think he should hire?
Explain and justify your answer mathematically.
POSSIBLE NEW HIRES
Secretary
Customer Service Representative
Julie – high school diploma
Ray – college diploma
Marilyn – college diploma
Paul – high school diploma
Ricki - high school diploma
Erin – college diploma
Mrs Math
Answer Key
Exam Questions (No calculator)
1. Matrices A and B are shown below.
A=
-9 3
0 -1
B=
2. Determine the following:
5 -1
-2 -4
-4
-3
2
-6
0
7
–
-5
4
-1 3
-2 -2
Create a matrix that represents A + B?
-4 2
-2 -5
3.
If A =
A)
C)
-1 1
7 -9
-3 3
1
-7
C)
-9 1
1 -4
3
-4
-3
9
B)
1
-7
3
-4
-3
5
3
9
D)
1
1
-3
-8
3
9
4. Matrices A and B are shown below.
find -5A.
-5
5
35 -45
-15 15
5
-5
-35 45
15 -15
A=
B)
D)
5. Determine the following.
2
A)
-6 -4
2 -14
-8 -2
-8 -6
7 -1
B=
4 3
Create the matrix that represents A – B.
6 5
-4 -3
4 2
-5 -15
-35 45
15 -5
6. Determine the following:
6 5 -1 7
-3 0 1 -4
-2
-7
1
0
4
-5
A)
12 10 -2 14
-6 0 2 -8
-2 -1
3 -4
8 5
-6
-1
+
-4
6
-1
2
-1
-5
B)
0
2
-3 -10
C)
D)
-2
-7
0
2
-6
-1
0
2
-3
0
3 -10
-6 0
-13 2
-5
0
Mrs Math
Answer Key
Exam Questions (calculator)
7. At the airport they have the following
data about their three airplanes. They have
the B747 which has 462 seats, speed of 512
mph, and flight distance of 2297 miles. They
have the MD-11 which has 259 seats, speed
of 527 mph, and the flight distance of 3073
miles. Lastly, is the F202 which has 82 seats,
speed of 635 mph, and flight distance of
5010 miles. Create a matrix.
Planes
B747
MD-11
F202
8. Henry attends school at
Jackson College. To complete
credit hours towards his major
he needs to take multiple
math, science, and
literature classes. The prices
for 2012 are represented in
the given matrix. However,
according the paper, the college
plans to double the cost of each
class for the year 2013.
Characteristics
Seats Speed Distance
462 512 2297
259
527 3073
82
635 5010
Create a new
matrix showing
the costs of taking
classes in 2013.
Jackson College Costs in 2012
Courses
Math
Science
Literature
Courses
Math
Science
Literature
Credit Hours
2
3
4
$40 $60 $70
$70 $90 $130
$30 $30 $45
Credit Hours
2
3
4
$80 $120 $140
$140 $180 $260
$60
$60
$90
9. The matrices below compare the teen consumption of water and energy drinks in 1990 and 2010.
TEEN CONSUMPTION OF WATER AND ENERGY DRINKS
(in ounces per day)
1990
Boys Girls
2010
Boys Girls
Water
14
10
Water
9
7
Energy
7
6
Energy 18
12
A) Water
Energy
4 by 6
Rachel
Katie
Tiesha
Betty
12
8
5
10
5 by 7
8 by 10
5
7
6
4
2
1
4
3
Who spent the most of photos?
A)
B)
C)
D)
Rachel
Katie
Tiesha
Betty
5
3
11
6
Boys Girls
B)
Water
5
23
17
Energy 25
18
C) Water
3
Energy -11
Boys Girls
Which of these matrices shows the change in the
number of ounces of each drink consumed by teens
from 1990 to 2010?
10. At Glamour studios 6 x 4 photos cost
$2 each, 5 x 7 photos cost $5 each, and 8 x
10 cost $12 each.
Boys Girls
-6
Boys Girls
D)
Water
-5
-3
Energy
11
6
11. In Rob’s class, 18 of the 30 students are boys. In Beth’s class
21 of the 32 students are girls.
Which matrix represents this situation?
A)
Rob’s Class
Boys Girls
B)
Boys Girls
12
18
Rob’s Class
16
21
Beth’s Class 11
16
Beth’s Class
11
12
C)
Boys Girls
D)
Boys Girls
Rob’s Class
18
12
Rob’s Class
18
30
Beth’s Class
11
21
Beth’s Class 32
21
12. Joannie owns two flower shops Flowers Forever and the
Happy Hibiscus. At both stores she sells leis, vases of roses, and
orchids. She records the amount of each items that were sold this
weekend at both store.
Flowers Forever
Sat Sun
Leis
Rose Vases
Orchids
25
15
18
Happy Hibiscus
Sat
Leis
Rose Vases
Orchids
13
24
20
13. In Waikiki there is a restaurant called
Surf’n Turf. The matrix shows the number
of orders they took over the weekend.
45
19
27
Fri
Sat
Burgers
127
138 106
Hotdogs
85
104
98
Fries
207
235
214
Drinks
245
306
294
Sun
33
17
22
Create a new matrix showing the total number of each item sold this
weekend at both stores.
If the restaurant makes a profit of $3 for
every burger, $4 for every hotdog, $2 for
each order of fries, and $0.50 for each
drink, how much money did they bring in
on Saturday?
Sat Sun
Leis
Rose Vases
Orchids
70
34
45
46
41
42
14. Gina is throwing a party and needs the
following items.
Safeway Times
Pizza $90
Balloons $45
Plates $18
$85
$36
$20
Sun
A) $1453
B) $783
C) $1715
D) $1285
15. The following matrix shows the cost of the t-shirts you
can order through a company on the internet.
Foodland
$70
$58
$22
S
M
L
XL
Black $7
White $6
Gray $9
$8
$6
$9
$8
$6
$9
$10
$8
$9
If you plan on buying 3 large white shirts for yourself, how
much would it cost?
How much would it cost her if she purchased
everything at Foodland?
A) $24
B) $18
C) $30
D) $23
$150
16. At the end of each day, Molly’s Sock Shop counts how many socks they have left in the store. The results of
the Wednesday and Thursday counts are shown in the matrices below. The shop received no new socks on either
day.
Create a new matrix showing how many of
Wednesday’s Count
Thursday’s Count
each type of sock was sold on the given
two days.
Long Short
Long Short
Long Short
Red
38
68
Red
24
61
Yellow
32
39
Yellow
30
28
Red
14
7
Blue
41
47
Blue
29
32
Yellow
2
11
White
31
39
White
21
29
Blue
12
15
White
10
10
17. Airways airlines has posted the following flight information to its
customers for the month of June. (½ pt each)
Destinations
Seat Class Hawaii New York Florida
First
$1500 $900
$750
Business
$1175 $750
$500
Economy
$870
$525
$375
18. These are the percentages for 4
students in the given classes. What is
the difference between Bill’s and Jack’s
science grades?
Bill
Sue
Jack
98% 73%
Math
Science 85% 89%
English 95% 80%
65%
71%
63%
Bree
82%
94%
87%
A) Which is the cheapest destination? Florida
B) How much is a business class seat to New York? $750
C) Which ticket costs $500?
A) 33% higher
B) 33% less
C) 14% higher
D) 14% less
Business Class ticket to Florida
D) If you have a budget of $1200 for a flight to Hawaii, which seat
classes could you purchase a ticket for? Business or economy
19. Constructed Response (2 pts): At a local business they have three types of jobs: secretary, customer service
representative, and manager. A secretary with a high school diploma makes $22,000 per year and with a
college degree he or she makes $26,000. A customer service representative with a high school diploma makes
$25,500 per year and with a college degree he or she makes $28,000. A manager with a high school diploma
makes $31,000 per year and with a college degree he or she makes $34,800.
A) Create a matrix representing the salaries for these positions with the different levels of education.
High S College
Secretary
Customer
Manager
22k
26K
25.5K 28K
31K 34.8K
B) Refer to the matrix you created in part A. The manager has to hire a secretary and two customer service
representatives. Below are the people who applied for the jobs and their education level. If the manager has in the
budget only $77,000 total to pay for the yearly salaries of these three positions who do you think he should hire?
Explain and justify your answer mathematically.
POSSIBLE NEW HIRES
Secretary
Customer Service Representative
Julie – high school diploma
Ray – college diploma
Marilyn – college diploma
Paul – high school diploma
Ricki - high school diploma
Erin – college diploma
3 possible solutions
Julie, Paul, Ricki
Julie. Paul/Ricki, Erin
Marilyn, Paul, Ricki