Simplifying Algebraic Expressions with the Distributive Property

The video tutorial covers the distributive property and combining like terms. It begins by explaining how multiplication distributes over addition, removing parentheses in expressions. Examples with variables and numbers illustrate this concept. The tutorial then defines like terms as expressions with the same variables raised to the same power, showing how to combine them. It demonstrates the distributive property both forward and backward, providing practice problems for viewers to solve. The video concludes with exercises on combining like terms and a summary of the key concepts.

What does the distributive property help to remove in an expression?

• Exponents

• Parentheses

• Coefficients

• Variables

In the expression a(b + c), what is the result after applying the distributive property?

• a + b + c

• a + bc

• ab + c

• ab + ac

Which of the following is an example of like terms?

• 3x and 3y

• 4mn and 7mn

• 5a and 5b

• 2x and 2y

What is the result of combining the like terms 5x and 2x?

• 10x

• 7x

• 7

• 3x

If you have the expression 2x + 3x, what is the combined term?

• 5

• 2x3x

• 5x

• 6x

What is the result of distributing 3 over (2f - 3)?

• 3f - 9

• 6f - 9

• 6f + 9

• 6f - 3

After distributing 2 over (7 + 3x), what is the resulting expression?

• 14 + 3x

• 14 + 6x

• 7 + 6x

• 7 + 3x

What is the result of combining the like terms 8f and 6f?

• 8f

• 14f

• 12f

• 2f

In the expression 8g - 3g, what is the combined term?

• 5g

• 11g

• 8g

• 3g

What is the final result of combining 14f and 6?

• 20f

• 14f6

• 20

• 14f + 6