MCAS 2001, 10th Grade Math, Questions 21 to 24

Your printer may also be able to print directly from the version which is now appearing on your computer screen.

Question #21

a. On the grid in your Student Answer Booklet, construct two line graphs using the same axes, one showing Ms. Kemay's income and one showing her expenses for the seven-month period.

b. Assuming that her income and expenses continue to grow at approximately the same rate, estimate her income and expenses for the month of May. Explain or show how you found your estimates.

c. Again, assuming that her income and expenses continue to grow at approximately the same rate, estimate in which month her profit (profit = income minus expenses) will, for the first time, be greater than $13,000. Explain or show how you found your estimates.

Question #22

Students at Viking High School decide to have T-shirts made with a blue "V" inside a gold rectangle as shown in the diagram above.

The costs are as follows:

• plain T-shirt $8.50
• blue coloring $0.02 per square inch
• gold coloring $0.04 per square inch

a. What is the area of the blue "V" in the diagram above? Show your work.

b. Explain how you can determine the area that will be colored gold.

c. What will be the total cost for each T-shirt shown above? Show your work.

Question #23

Mr. Hendricks operates a snowplow for the Department of Public Works (D.P.W.). He found that he can

• begin snowplowing at the D.P.W.
• plow every street shown on the map above without going over any street more than once, and
• end at his home.

Where is his home located?

A. at A

B. at B

C. at C

D. at D

Question #24

A. (6xy + 4xy) + 2xz = 6xy + (4xz + 2xz)

B. 2xy + 3xz + 5xy = 2xy + 5xy + 3xz

C. 4xy - 12xz = 4x(y - 3z)

D. -5xy + 5xy + 3xz = 3xz