Download Unit Review for use after Investigation 5

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Unit Review for use after Investigation 5
1. A bag contains two green marble, five yellow marbles, four blue marbles,
and one red marble. Use proper notation in all your answers
a. What is the theoretical probability of randomly drawing a red marble
from the bag?
b. If you double the number of green, yellow, blue, and red marbles in the
bag, what will be the theoretical probability of drawing a red marble?
c. Compare your answers for part (a) and (b). Are they the same or
different? Explain.
d. How many yellow marbles would you need to add to the original bag of
marbles to make the probability of drawing a yellow marble
1
2
1
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? Explain.
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Unit Review (continued)
2. A gumball machine contains orange, yellow, and purple gumballs.
The probability of getting an orange gumball is 1 . The probability
8
of getting a yellow gumball
is 1 .
4
Use proper notation in all your answers
a. What is the probability of getting a purple gumball? Explain how you
determined your answer
b. If there are 32 gumballs in the machine, how many are purple?
Yellow? Orange?
3. Use the spinner below to answer the following questions.
a. You spin the spinner. Are the possible outcomes shaded and not shaded equally
likely? Explain.
b. If you spin the spinner 120 times, how many times would you expect to
land on white?
2
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Unit Review (continued)
4. Let’s Make an Outfit is a retail clothing store that lets customers design their
own outfit. Customers choose items from two categories: one top
and one bottom. Use proper notation in all your answers
Let’s Make an Outfit
Tops
Bottoms
T shirt
Slacks
Blouse
Jeans
Sweatshirt
Shorts
a. Make a tree diagram and list the possible outcomes for your outfits.
b. How many different outfits can be designed?
c. If outfits are made randomly, what is the theoretical probability that a
outfit will include a T shirt?
d. If outfits are made randomly, what is the theoretical probability of a
outfit having sweatshirt and jeans?
3
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Class
What Do You Expect?
Unit Review (continued)
5. Tua has created a new game called Making Purple. To play the game, a
player spins twice. If the player gets blue in one section and red in the
other, the player wins, because blue and red together make purple. The
player can choose either spinner for either of their two spins. Use proper notation in all your answers
Spinner A
Spinner B
a. Tua spins Spinner A once and Spinner B once. What is the probability
she will get purple? Use an area model
c. Is there a greater probability of getting purple when you spin Spinner B two times?
Use an area model
4
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6. This graph shows a proportional relationship between x and y
.
a.
Find the constant of proportionality (m), show your thinking. Use the point on the graph as your
intersection point.
b.
Using the value for m, write an equation in the form of y = mx that represents the relationship
between x and y.
7.
Lines XU and WY intersect at point A
35˚
Based on the diagram to the right, determine whether each
statement is true or false
Statement
An angle supplementary to YAU measures 115˚
An angle complementary to WAX measures 35˚
The angle vertical to YAU measures 35˚
True
False