Probability
Equations
Proportions
Percentages
Misc.
100
What is the probability of rolling a 5 on a standard number cube?
1/6
100
Solve for X:
3x+6 = 5X + 2
X = 2
100
Solve for y. [50 points extra if you also solve for x]Y= 40
X=7.7
100
find 30% of 40
12
100
Represent 5/8 as a decimal. [50 extra points if you also represent it as a percentage].
0.625 or 62.5%
200
What is the probability of choosing a red card out of a standard deck of cards. [50 points extra if you can say it as a simplified AND unsimplified fraction]
26/52 or 1/2
200
3X + 2 + X - 5= -11
X = -2
200
Use any strategy to solve the proportion for X:
X/16 = 9/2
X = 72
200
Find 23% of 70
16.1
200
Evaluate if z=2, x=4, and y=0.5
z(x+y) +5
14
300
What is the probability of picking a 10 out of a standard deck of cards? [50 points extra for simplified and unsimplified fraction.]
4/52 or 1/13
300
5x + 2 = −3x − 14
X = -2
300
An apple-juice container has a tiny hole in it, so it is slowly leaking. If the container leaks four ounces every 10 minutes, how long will it take for the 18 ounces of juice in the container to leak out? [50 extra points if you can write a proportional equation].
45 minutes
300
Mr. Muhammad borrowed $250 from Kater, who told him it will be a weekly interest rate of 3% on the loan until it's paid back. If it takes Mr. Muhammad 4 weeks to pay the loan back, how much will he have to pay in all.
$280 total.
300
Solve:
-1/2 + 2 - 3 + (-4/5) - (-3)
7/10 or 0.7
400
What is p(factor of 5) on a standard number cube? [100 extra point for an unsimplified fraction, a simplified fraction, and a percentage]
2/6 or 1/3 or 33.3333.... %
400
(2/3)x + 1 = x − 4
X = 15
400
Harley was eating pizza and had already eaten six pieces before his sister, Samantha, got home. Samantha was worried that she was not going to get a fair share of the pizza and wanted to know how many pieces were in the pizza originally. Harley told her, “I have only eaten pic of the pizza.” Help Samantha figure out how many pieces of pizza there were to start with.
16 Slices of Pizza
400
Marcus has a summer job where he makes $45 a day. Yesterday, his boss told him that he was getting a raise to $63 a day because he was such a hard worker. What is the percent increase in Marcus’ salary?
40% increase or 140% of original
400
Solve the inequality:
2x + 5 < 3
[50 points extra if you graph solution in number line]
X < -1
500
What is the probability of picking a face card, a 10, or a 7 of clubs from a standard deck of cards?
21/52
500
0.5x − 0.5 = 0.75x + 1 − x
X = 2
500
Joe is using his allowance money to download songs from the Internet. He can download them at a rate of eight songs every 10 minutes. Jasmine, who is downloading songs with the money she made from her part-time job, can download at a rate of 12 songs every 15 minutes. Who is downloading songs faster?
They are downloading songs at the same rate.
500
A new black/blue (or white/gold) dress in on sale for 30% off. However, Tennessee has a tax rate of 10%. If the dress was originally $80, how much will you have to pay at the register for it?
$61.60
500
A biologist was sitting near a pond and noticed a large number of dragonflies. He also saw both frogs and fish trying to eat the dragonflies. He counted a total of 89 fish, frogs, and dragonflies. He noticed that there were four times as many dragonflies as fish and that the frogs were five more than twice the number of fish.
Use the 5-D Process to determine how many fish, frogs, and dragonflies the biologist counted.
12 fish, 29 frogs, 48 dragonflies