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

Tags

CCSS.6.EE.B.6

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

Tags

CCSS.7.EE.A.1

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

Tags

CCSS.2.MD.B.5

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

• Multiplication

• Subtraction

• Addition

• Division

Tags

CCSS.6.EE.A.3

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

• 5x + 7

• 5 + 7x

• 5x + 35

• 5x + 7x

Tags

CCSS.6.EE.A.3

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

• 3 + 12x

• 3x + 36

• 3x + 12x

• 3x + 12

Tags

CCSS.6.EE.A.3

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

• 5 + 8a

• 5a + 40

• 5a + 8a

• 5a + 8

Tags

CCSS.3.OA.B.5

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

Tags

CCSS.7.EE.A.1

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

• 3(x + 12)

• 3(x + 18)

• 3(x + 36)

• 3(x + 6)

Tags

CCSS.7.EE.A.1

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

• 5(a + 8)

• 5(a + 10)

• 5(a + 40)

• 5(a + 5)

Tags

CCSS.7.EE.A.1