Understanding the Distributive Property

This video tutorial explains the distributive property, a fundamental concept in algebra. It covers the steps to apply the property, including multiplying terms outside and inside parentheses and combining like terms. The tutorial provides several example problems, starting with simple cases and progressing to more complex ones, to illustrate the application of the distributive property in solving algebraic expressions.

What is the distributive property often referred to as?

• The associative law

• The identity law

• The commutative law

• The distributive law

Which of the following is the first step in applying the distributive property?

• Add the terms inside the parentheses

• Multiply the term outside the parentheses by the first term inside

• Subtract the terms inside the parentheses

• Divide the term outside the parentheses by the first term inside

What should you do with the signs inside the parentheses when applying the distributive property?

• Reverse them

• Keep them the same

• Ignore them

• Change them

In the expression 10 * (R + 7), what is the result after applying the distributive property?

• 10R + 70

• 10R + 7

• R + 70

• 10 + 7R

What is the result of combining like terms in the expression 4f + 9f?

• 13f

• 5f

• 36f

• 9f

In the expression 8Q * (3 + 4), what is the combined result of the terms?

• 8Q

• 32Q

• 56Q

• 24Q

What is the result of 6R + 2R after combining like terms?

• 8R

• 12R

• 4R

• 6R

In the expression 3n + 4n + 18n, what is the sum of the like terms?

• 25n

• 22n

• 30n

• 15n

What is the final result of the expression 25n + 54?

• 29n + 50

• 79n

• 54n + 25

• 25n + 54

What is the result of 9 * (2n + 5) after applying the distributive property?

• 18n + 45

• 18n + 5

• 9n + 10

• 2n + 45