Distributive Property and Expressions

The video tutorial covers the concept of the distributed property in mathematics, focusing on writing equivalent expressions. It includes activities such as matching expressions and solving problems using the distributed property. The tutorial also reviews homework problems, providing solutions and explanations to reinforce learning.

What is the distributive property used for in the context of a rectangle's area?

• To partition the rectangle into smaller sections

• To find the perimeter of the rectangle

• To calculate the volume of the rectangle

• To determine the diagonal length of the rectangle

When matching equivalent expressions, what should you consider if you get stuck?

• Using a calculator

• Drawing a diagram

• Guessing the answer

• Skipping the problem

How can you simplify the expression 12A + 3B using the distributive property?

• By adding 12 and 3

• By subtracting 3 from 12

• By factoring out a 3

• By dividing by 3

What is a common strategy for writing equivalent expressions using the distributive property?

• Adding all terms together

• Factoring out common terms

• Multiplying all terms by zero

• Dividing each term by two

In the homework check, what is the equivalent expression for 4 * X + 4 * 2?

• 4X + 2

• 8X + 4

• 4X + 8

• 8X + 2

What is the equivalent expression for 8y - 24 when factored by 2?

• 4y - 12

• 2(4y - 12)

• 16y - 48

• 8(y - 3)

What is the perimeter of a square with a side length of 7?

• 14 cm

• 21 cm

• 28 cm

• 35 cm

If the area of a square is 121 cm², what is the side length?

• 10 cm

• 11 cm

• 12 cm

• 13 cm

How do you solve the equation 10 = 4y for y?

• Multiply both sides by 4

• Divide both sides by 4

• Subtract 4 from both sides

• Add 4 to both sides

What is the result of dividing 1.036 by 10?

• 10.36

• 0.1036

• 1.036

• 103.6