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.
Which shows the total number of students in each club at each grade level in the three schools?
A [ 40 49 43] B
C D
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.
This matrix shows the number of bags they sold during the July 2nd game.
Which matrix shows how many more bags were sold during the second game than in the first?
A B
3. The number of car sales for May 2000 at Auto One are:
If the salespeople get a $200 commission on each car they sell, which matrix shows the amount in commissions each person earns?
4. Calculate:
A B
C D
5. Calculate:
A B
C D
6. This matrix gives the cost of two types of bottled water at a convenience store and a supermarket during a given week.
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
7. Let matrices A and B be as follows:
What does 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 B
C D
9. Solve for x and y:
A x=5.5, y=3 B x=4.5, y=7
C x=4.5, y=3 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.
Which matrix represents the sum of the two student groups at the museum?
A B
C D
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?
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
A B
C D
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 (yr) / Height (ft)Old Point Comfort / 201 / 54
Assateague / 170 / 145
New Point Comfort / 199 / 63
Cape Henry / 122 / 164
Old Cape Henry / 211 / 90
1. Which is the equation of the best-fit line?
A
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 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
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
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.
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.
The line of best fit for the data is . 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.
How many points would you expect someone who played 800 minutes to score?
A 1964 B 2179
C 2228 D 2316