Test-Taking Tips
- Reread the item.
- Use the Test-Prep strategy.
- Apply appropriate rules,
definitions, properties, or
strategies. - Analyze your answers.
w
b
n
Jersey Shorts Socks
w
b
b
w
b
w
r
w
b
n
Jersey Shorts Socks
w
b
b
w
b
w
n
w
b
n
Jersey Shorts Socks
w
b
b
w
b
w
y
Sample 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 12 349
Test 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