120 students went to Fun Park for the day. Two-fifths of the group waited in line for the Super Looper. The rest of the group waited in line for the Jet Coaster. A single ride on the Super Looper lasts 10 min and can take 8 people at a time. A single ride on the Jet Coaster lasts 8 min and can take 12 people. Will the group riding the Super Looper finish first or will the group riding the Jet Coaster finish first?

Don’t forget to explain how you know your solution is correct!!!!!

Don’t forget to explain how you know the answer choice you chose is the correct solution!

Mark buys a wooden board that is 7 1/2 ft. long. The cost of a wooden board is $0.50 per foot including tax.

How much is the cost, in dollars of the wooden board?

While grading student papers, I noticed that while computing the product of 4.5 and 1.2, this student carefully lined up the decimals and then multiplied, bringing the decimal point straight down and reporting a product of 54.0.

Is this solution correct or incorrect? Defend your choice either way with a DETAILED explanation as to why this student was correct or incorrect in solving this math problem!

On the number line below, the numbers m and n are the same distance from 0. Which of the following equations is correct:

m + n = 0
m – n = 0
m = n
m/n = 1

PLEASE READ THIS!!!! Don’t just select an answer. PROVE IT by using an example (or two)!

If x<y, which of the following best describes the values of:

1. It is always greater than 1
   
2. It is always less than 1
3. It is always 1
4. It varies depending on the values of x and y

DON’T JUST PICK AN ANSWER!!! You need 3 examples of your own. Pick examples for x and y (they must be different because the variables are different), plug them in and see what happens. 

HINT: The values you pick can be whole numbers, mixed numbers, integers, fractions, a mix, ect…

A “conjecture” is an educated guess. I noticed something when I divided a whole number and a fraction so I’m making a “conjecture”. Your job is to see if my conjecture is always true, sometimes true, or never true. You will do this by checking my work and then positing your own 3 examples. If you cannot find an example that disproves my conjecture you should assume it is always true. If you can find even one example that disproves my conjecture you would conclude that my conjecture is sometimes true. In this example, we know that “never true” isn’t an option because my examples are true! Here we go:

I took 60 and divided it by 1/2 (not 2) and my calculator said the answer was 120.

60 ÷ (0.5) = 120

I took 10 and divided it by 1/4 (not 4) and my calculator said the answer was 40.

10 ÷ (0.25) = 40

I took 75 and divided it by 1/10 (not 10) and my calculator said the answer was 750.

75 ÷ (0.1) = 750

My conjecture: When you divide a whole number by a fraction the answer is more than you started with. Is this always true or sometimes true? In order to pick “sometimes true” you have to come up with an example that disproves my conjecture.

Your heart pumps about 5 quarts of blood through its chambers every 60 seconds. A swimming pool (20ft x 60ft) will hold about 65,000 gallons of water.

How many weeks would it take your heart to pump that much blood?

You can find a conversion table HERE!

A canoe rental store on Lake Louis, Canada has 30 canoes that it rents on a daily basis during the summer season. If canoes rent for $15 per day, how much can the store collect for canoe rentals during the month of July?