NCSCOS 3.01: Use matrices to display and interpret data.
NCSCOS 3.02: Operate with matrices to solve problems.
1. The matrices show the membership by grades in
the Science Club (S) and the Art Club (A) at
Beacon Hill, Rockwood, and Whitney middle
schools.
BeaconHill
Rockwood
S
S
A
Gr 6 4 5 
Gr 7 9 3 
Gr 8 12 7 
A
Gr 6 8 4
Gr 7 10 5 
Gr 8 14 8 
3. The number of car sales for May 2000 at Auto
One are:
Whitney
S
A
Gr 6 8 6 
Gr 7 9 2
Gr 8 14 4
If the salespeople get a $200 commission on each
car they sell, which matrix shows the amount in
commissions each person earns?
Which shows the total number of students in
each club at each grade level in the three
schools?
A [ 40
49
43]
 9 12 19 


C 12 15 22


14 11 18 
20 15


B 28 10


40 19
25 15


D 32 17


 31 12 
4. Calculate:
2. Sam and Max sell bags of peanuts and popcorn at
baseball games. This matrix shows the number of
bags they sold during the July 1st game.
A
B
C
D
This matrix shows the number of bags they sold
during the July 2nd game.
5. Calculate:
Which matrix shows how many more bags were
sold during the second game than in the first?
A
B
A
B
C
D
C x=4.5, y=3
6. This matrix gives the cost of two types of bottled
water at a convenience store and a supermarket
during a given week.
D x=5.5, y=7
10. These matrices give the numbers of students from
middle schools in Portsmouth and Norfolk who
visited the art museum one day.
This matrix gives the costs of the same types of
water the following week.
Which matrix represents the difference in price of
the water between the two weeks?
A
B
C
D
Which matrix represents the sum of the two
student groups at the museum?
A
B
C
D
7. Let matrices A and B be as follows:
What does
11. The average life span of a sugar glider is 12 years,
and its maximum mass is 130 grams. The average
life span of a guinea pig is 5 years, and its
maximum mass is 1,200 grams. Which matrix
represents this information?
equal?
A A-B B B-A
C A+B
D -A-B
8. Virginia cotton and peanut production and
acreage for 2002 is shown in this matrix.
If the state wanted to double the production but
keep the acreage the same, which matrix would
represent this new situation?
A
C
B
A
B
C
D
12. Which matrix best represents how many fans for
each league said they would ban the designated
hitter rule?
Fans
NL
AL
ban rule 72% 24%
expand rule 20% 53%
leave as is  8% 23%
D
9. Solve for x and y:
A 72
C
A x=5.5, y=3 B x=4.5, y=7
24 
136 .8
B 38 100 .7
45.6
D 20 53 
NCSCOS 3.03: Create linear models for sets of data to solve problems.
For questions 1-3, use this table which gives the age x
as of 2003 and the height y of five Virginia
lighthouses.
Lighthouse Age Height
(yr)
(ft)
Old Point
201
54
Comfort
Assateague
170
145
New Point
199
63
Comfort
Cape Henry
122
164
Old Cape
211
90
Henry
1. Which is the equation of the best-fit line?
A
6. The table shows the percentage of U.S. households
that have a video camera. Use a graphing
calculator to write an equation for the line of
regression for that data.
A y = 2.86x + 4.25
B y = 5.3x − 1.25
C y = 1.05x + 4.3
D y = 3.92x + 6.25
7. This table shows the rolling of a ball on a very
smooth court over time. Find the line of regression
using a graphing calculator, then predict how far
the ball will have rolled after 9 seconds.
B
C
D
2. Predict the age in 2003 of a lighthouse if its height
is 120 feet. Round your answer to the nearest year.
A 158 yr
B 178 yr
C 163 yr
D 192 yr
3. Predict the height of a lighthouse if its age in 2003
is 100 years. Round your answer to the nearest
whole number.
A 184 ft
B 212 ft
C
196 ft
A 21.6 feet
B 15.7 feet
C 24 feet
D 18.3 feet
8. The table shows the percent of U.S. workers in
Farm Occupations.
D 347 ft
___________________________________________________
4. The table shows the time spent researching the
stock market each week and the average weekly
percent gain for an investor over one year.
Find an equation for the trend line of the data.
A y = –0.4x + 0.4
B y = 0.4x – 0.4
The line of best fit for the data is y  0.39 x  35 .
What is the meaning of the slope of this line?
A 39% of U.S. workers worked in farming in 1900.
B 35% of U.S. workers worked in farming in 1900.
C 39% fewer people work in farming each year.
D 35% fewer people work in farming each year.
9. The following tables show only those players who,
on average, played more than 20 minutes per
game.
C x = 0.4y + 0.4
D y = 0.4x + 0.4
5. The table shows the number of CDs that Disc-o CD
factory produced for various months. Predict when
the factory will produce 5,500 discs in one month.
A November
B June
C October
D July
How many points would you expect someone who
played 800 minutes to score?
A 1964
B 2179
C 2228
D 2316