Solving Equations and Area Problems

Mr. Richards reviews grade 6 unit 6 lesson 5 practice problems, covering expressions equal to 3 and 1500s, solutions to the equation 3/4x = 15, solving various equations, creating story problems, writing mathematical expressions, solving a paint mixture problem, and comparing triangle areas.

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

• 0.45 / 3.15

• 3.15 / 0.045

• 3.15 x 45

• 3.15 x 100 / 45

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

• x = 15 / 4

• x = 15 / (3/4)

• x = 15 x (3/4)

• x = 15 x 4

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

• x = 4

• x = 8

• x = 32

• x = 16

In the equation 10x = 26, what is x when simplified?

• x = 13/5

• x = 26/10

• x = 2.6

• x = 5/13

What does x represent in the equation 3/4 + x = 2?

• The total distance run

• The distance John ran

• The distance Joey ran

• The total time taken

In the equation 1.5x = 6, what does x represent in the context of pancake batches?

• Total flour used

• Flour in one batch

• Total pancakes made

• Number of batches

How many cups of white paint are used in the lilac paint mixture?

• 16 cups

• 4 cups

• 12 cups

• 8 cups

What is the total yield of the lilac paint mixture?

• 8 cups

• 20 cups

• 12 cups

• 16 cups

Which triangle has a greater area, P or Q?

• Both have the same area

• Cannot be determined

• Triangle Q

• Triangle P

What is the area of Triangle P?

• 60 square inches

• 48 square inches

• 36 square inches

• 24 square inches