Area and Percentage Problems

This video tutorial covers Unit 6 Lesson 5, focusing on interpreting fractions and solving equations. It includes identifying equivalent expressions, solving equations using diagrams, creating story problems, and understanding mathematical expressions in real-world contexts like fundraising and paint mixtures. The lesson concludes with a comparison of triangle areas using base and height.

Which of the following expressions is equivalent to 3.15 divided by 0.45?

• 3.15 plus 0.45

• 3.15 minus 0.45

• 3.15 times 45

• 3.15 times 1/0.45

What is the solution to the equation 3/4x = 15?

• x = 10

• x = 5

• x = 20

• x = 15

If 4x equals 32, what is the value of x?

• x = 4

• x = 32

• x = 16

• x = 8

In the equation 4 = 32x, what does x equal?

• x = 4

• x = 1/4

• x = 8

• x = 1/8

What story problem could represent the equation 3/4 + x = 2?

• Three-fourths of a dollar plus the price of a drink equals two dollars.

• Three-fourths of a pizza plus another pizza equals two pizzas.

• Three-fourths of a book plus another book equals two books.

• Three-fourths of a mile plus a mile equals two miles.

How many cups of white paint are used if 40% of the mixture is white paint and 20% is blue paint?

• 8 cups

• 16 cups

• 4 cups

• 12 cups

If a fundraiser goal is $250,000 and $110,000 has been raised, what percentage of the goal has been achieved?

• 44%

• 56%

• 50%

• 60%

In a lilac paint mixture, if 20% is blue and there are 4 cups of blue paint, how many cups of red paint are there?

• 16 cups

• 12 cups

• 8 cups

• 4 cups

Which triangle has a greater area: Triangle P with a base of 12 inches and height of 8 inches, or Triangle Q with a base of 15 inches and height of 6.5 inches?

• Triangle P

• Triangle Q

• Cannot be determined

• Both have the same area

What is the total number of cups in a batch of lilac paint if it consists of 4 cups of blue, 8 cups of white, and 8 cups of red paint?

• 28 cups

• 24 cups

• 20 cups

• 16 cups