Expressions for Area and Equations

This video tutorial covers the distributive property using rectangles. It explains how to calculate the area of rectangles with variable lengths and how to compose and partition rectangles to find their total area. The lesson includes examples and exercises to reinforce understanding, followed by a summary and homework discussion.

What is the expression for the area of a rectangle with a width of 4 units and a length of M units?

• M/4

• 4-M

• 4M

• 4 + M

If the length of a rectangle is 11/4, what is the area of the rectangle with a width of 4 units?

• 22

• 44

• 4

• 11

What is the expression for the total area of two rectangles, one with an area of 5X and the other with an area of 40?

• 5X + 40

• 5X - 40

• 5X / 40

• 5X * 40

How do you express the area of a large rectangle composed of two smaller rectangles with lengths 3 and 2 + X?

• 3 * (2 + X)

• 3 + 2 + X

• 3X + 2

• 3 - (2 + X)

What is the expression for the area of a rectangle with a width of 1/3 and a length of 6 + X?

• 1/3 - (6 + X)

• 6 + X / 1/3

• 1/3 + 6 + X

• 1/3 * (6 + X)

How do you express the area of a rectangle with a width of 5 and a length of 3X + 8?

• 5 * (3X + 8)

• 5 + 3X + 8

• 5 / (3X + 8)

• 5 - (3X + 8)

What is the expression for the area of a rectangle with a width of M and a length of 6 + 8?

• M / (6 + 8)

• M * (6 + 8)

• M + 6 + 8

• M - (6 + 8)

Which of the following expressions is equivalent to 4B?

• B/4

• 4 + B

• B^4

• B + B + B + B

What is the result of 35 * 91 - 35 * 89?

• 0

• 35

• 2

• 70

If Andre runs 5.5 laps in 8 minutes, what is the equation to find the time per lap?

• 5.5 * X = 8

• X / 5.5 = 8

• 5.5 + X = 8

• 5.5 / X = 8