Understanding Area and Distributive Property

The video tutorial explains how to write expressions for calculating the area of rectangles and squares, emphasizing the formula of length times width. It introduces the use of variables in expressions and demonstrates how to apply the distributive property to calculate area. The tutorial provides examples of both numerical and variable expressions, highlighting the importance of placing numbers before variables in expressions.

What is the formula for calculating the area of a rectangle?

• Length divided by width

• Length times width

• Length plus width

• Length minus width

If a rectangle has a length of 7 and a width of m, what is the expression for its area?

• 7 + m

• 7m

• 7 - m

• m7

How would you express the area of a shape with two boxes, each having a length of 4 and widths of x and 3 respectively?

• 4x + 12

• 4x + 3

• 4x + 3x

• 4x + 4

What operation is used to find the length of a one-dimensional shape?

• Multiplication

• Subtraction

• Addition

• Division

In the distributive property, how is the expression 5(x + 7) expanded?

• 5x + 7

• 5 + 7x

• 5x + 35

• 5x + 7x

What is the sum form of the expression 3(x + 12) using the distributive property?

• 3 + 12x

• 3x + 36

• 3x + 12x

• 3x + 12

How do you express 5(a + 8) as a sum?

• 5 + 8a

• 5a + 40

• 5a + 8a

• 5a + 8

Which of the following is an example of using the distributive property?

• a(b - c) = ab - ac

• a(b + c) = ab + ac

• a + b = b + a

• a - b = b - a

What is the product form of the expression 3x + 36?

• 3(x + 12)

• 3(x + 18)

• 3(x + 36)

• 3(x + 6)

If you have an expression 5a + 40, what is its product form?

• 5(a + 8)

• 5(a + 10)

• 5(a + 40)

• 5(a + 5)