Simplifying Expressions with the Distributive Property

Miss Feliz teaches how to simplify expressions by using the distributive property and combining like terms. The lesson includes examples such as 4(2x - 5) + 6x and 2(8 + 3x) - 2x + 4, demonstrating step-by-step simplification. Students are encouraged to practice with additional problems and check their solutions.

What are the two main steps in simplifying expressions?

• Multiplication and division

• Distribution and combining like terms

• Factoring and solving

• Addition and subtraction

In the first example, why don't we distribute the 4 to the 6x?

• Because 6x is not inside the parentheses

• Because 6x is a like term with 4

• Because 6x is already simplified

• Because 4 cannot be distributed to variables

What is the simplified form of 4(2x - 5) + 6x?

• 8x - 20

• 12x - 20

• 8x + 6x - 20

• 14x - 20

In the second example, after distribution, what do we do next?

• Combine like terms

• Factor the expression

• Distribute again

• Subtract the constants

What is the result of simplifying 2(8 + 3x) - 2x + 4?

• 6x + 12

• 4x + 20

• 16 + 6x

• 10x + 12

What should students do after watching the video and before checking the answers?

• Take a break

• Review the video again

• Try simplifying four expressions on their own

• Discuss with a peer

What is the simplified form of 3(x + 9) - 7?

• 3x + 20

• 3x + 27

• 3x + 2

• 3x - 7

How do we simplify an expression with a term outside the parentheses?

• By distributing the term inside the parentheses

• By multiplying the term with the parentheses

• By adding the term to each inside the parentheses

• By ignoring the term

What is the correct simplification of 5(8 - x) + 6 - 7?

• 33 - 5x

• 43 - 5x

• 39 - 5x

• 40 - 5x - 1

After distributing and combining like terms, what is the simplified form of 4x + 2(x + 6)?

• 6x + 12

• 4x + 12

• 8x + 12

• 6x + 18