Foundations to Algebra
Name
Cumulative Review #1
Date
Period
1. If there are 15 quarters in a stack of quarters that is one inch tall. Complete
the table for the number of quarters in each stack:
a) Describe in words how you know the
number of quarters for the height of each
stack?
Height of
Stack
(inches)
# of
quarters
1
2
b) Give an explicit rule representing the
number of quarters in each stack, given
the height of each stack in inches.
3
4
5
10
50
c) If a stack contains 450 quarters, how
many inches tall would the stack be?
2. Complete the following portions webs:
a)
7
9
b)
12.5%
3. Using complete sentences, describe the difference between theoretical and
experimental probability.
4. Alex asked Anna if she would share her bag of Starburst candies with him.
Since Anna had purchased the bag with her own money, she told Alex he may
only choose one, but he cannot look when he chooses. Inside the bag of
Starburst candies, there were:
6 strawberry
10 lemon
5 cherry
9 orange
a) List the probabilities for each flavor of Alex’s random selection. Give the
probabilities as fractions, decimals, and as percents.
Flavor
Fraction
Decimal
Percent %
(DO NOT ROUND)
(DO NOT ROUND)
Strawberry
Lemon
Cherry
Orange
b) Which flavor is Alex least likely to choose?
c) Which flavor is most likely to get chosen by Alex?
d) What is the percent probability of Alex choosing:
…a lemon or cherry?
…a lemon or orange?
e) Are your probabilities above based on theoretical probability or
experimental probability? (Circle one)
Theoretical Probability
or
Experimental Probability
5. Given the following spinner, calculate the probability that the spinner will land
in each of the designated areas. Give your answer in fraction form.
a) What is the probability that the
spinner will stop on A?
A
P(A) =
6
16
3
16
b) What is the probability that the
spinner will stop on B?
P(B) =
1
8
B
6. Label the spinner so that the theoretical probability is as follows:
a)
5
16
is red
b)
0.125 blue
c)
50% yellow
d)
The rest is green
7. Based on the probability above, give the number of times the spinner from #6
will land on red when spun each of the following numbers of times:
a)
16 times
b)
32 times
c)
48 times
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8. If the theoretical probability of rolling a “2” on a fair number cube is , how
6
many times can you expect it will land with “2” facing up out of 60 rolls?
9. Write “theoretical” or “experimental” to describe the probabilities of each of the following.
a. The chance of getting tails when flipping a coin is
1
2
.
b. Based on mathematical models, the chance of snow today is 20%.
c. The probability of rolling a 4 on a die is
1
.
6
d. I flipped a coin eight times and got heads six times, so the probability is
e. Jordyn waved to me in the hallway 3 out of 4 days this week, so the
3
probability that she is going to waive to me tomorrow is .
4
f.
According to LightningSafety.com, the probability of being struck by
lightning in the United States during this year is 1:280,000.
g. Jack sank seven out of his last eight free throws, so his probability of
7
making the next free throw is .
8
10. Rewrite each fraction below in at least two different ways.
a)
3
4
=
b)
2
10
=
c)
4
5
=
6
8
.
11. A bag has 20 marbles. Sarah did an experiment and pulled a marble from the bag 50
times and the results are below.
Red: 10
Blue: 16
Yellow: 20
Orange: 4
Determine how many marbles of each color are in the bag.
12. Your team is in charge of games at the county fair. One of the games
involves a robotic arm that randomly grabs a stuffed animal out of a large
bin. You need to set up the game so that the probability of a customer
1
grabbing a teddy bear is .
4
a. How would you set up the bin? Explain.
b. What if you returned to check on the bin and found that there were 4 teddy
bears left and 8 other animals? What could you add to or remove from the
1
bin to return the probability of selecting a teddy bear to ? Explain.
4