Test-Taking Tips
- Reread the item.
- Use the Test-Prep strategy.
- Apply appropriate rules,
definitions, properties, or
strategies. - Analyze your answers.
w
bnJersey Shorts Socksw
bbw
bwrw
bnJersey Shorts Socksw
bbw
bwnw
bnJersey Shorts Socksw
bbw
bwySample Test Item
The soccer team is choosing new uniforms. They can choose red, navy, or yellow jerseys;
the shorts can be navy, black, or white; and the socks can be black or white.
Part A
How many different combinations
of uniforms are possible?Part B
The team decides on red shirts. What are the
possible choices of uniforms they could order?
Show all your work.Chapter 12 349Test Prep: Extended-Response Questions
Strategy: Organize Information
One way to organize the information needed to answer
an extended-response question is to make an organized list.
Check your work. Review your notes.
Make sure you have completed all parts of the item.
- Analyze your answers. Do they make sense?
Use the counting principle. Multiply to find the total number of choices.
Number of different uniforms: 3 • 3 • 2 18
Number of different uniforms with red jersey: 1 • 3 • 2 6
Read the whole test item carefully.
- Reread the test item.
- Create an organized list.
1.Make a tree diagram to find all possible combinations.
2.Use the list to identify which combinations have red shirts.Solve the problem.
- Apply an appropriate strategy.
To solve Part A, make a tree diagram to list the possible
combinations of jerseys, shorts, and socks. Use rfor red,
nfor navy, yfor yellow, bfor black, and wfor white.
Answer: There are 18 different possible uniform combinations.
To solve Part B, list the combinations from the tree diagram that contain a red jersey.
Answer: red jersey, navy shorts, white socks; red jersey, navy shorts, black socks;
red jersey, black shorts, white socks; red jersey, black shorts, black socks;
red jersey, white shorts, white socks; red jersey, white shorts, black socks