Fractions, Ratios, and Linear Functions

The video tutorial covers various mathematical concepts, including fraction subtraction, ratio simplification, equation writing, and plotting ratios on a coordinate plane. It includes an exploratory challenge involving website views and a practical application using a pasta recipe. The lesson concludes with a final exercise on ratio tables.

What is the first step in subtracting fractions with different denominators?

• Add the numerators directly.

• Subtract the denominators.

• Multiply the fractions.

• Find a common denominator.

In a recipe, if the ratio of white sugar to brown sugar is 1:3, what does this mean?

• There is three times more white sugar than brown sugar.

• There is an equal amount of white and brown sugar.

• There is three times more brown sugar than white sugar.

• There is more white sugar than brown sugar.

How can you express the ratio of 8 footballs to 4 basketballs in simplest form?

• 1:2

• 2:1

• 4:2

• 8:4

What is the equation to find the amount of yellow paint needed if you have a certain amount of red paint?

• y = r / 3

• y = 3 - r

• y = 3 * r

• y = 3 + r

What is the origin in a coordinate plane?

• The point (1,0)

• The point (0,1)

• The point (0,0)

• The point (1,1)

If a website had 24 views after 2 hours, how many views would it have after 4 hours assuming a constant rate?

• 36 views

• 72 views

• 48 views

• 60 views

What is the constant multiplier used to determine the number of views per hour in the website example?

• 12

• 10

• 8

• 6

In the pasta recipe, what is the ratio of tablespoons of water to eggs?

• 3:2

• 3:1

• 1:2

• 2:3

If you need 36 eggs, how many tablespoons of water are required according to the pasta recipe?

• 30 tablespoons

• 24 tablespoons

• 36 tablespoons

• 18 tablespoons

What method can be used to extend a graph to find the number of eggs needed for 16 tablespoons of water?

• Guess the number of eggs.

• Use a different graph entirely.

• Extend the graph to include 16 tablespoons.

• Add more data points manually.