Combining Like Terms and the Distributive Property

Mrs. Bailey explains how to simplify algebraic expressions using the distributive property and combining like terms. She provides step-by-step examples, highlighting the importance of distributing before combining terms. The video includes practical tips, such as using an area model and tic-tac-toe board for handling negatives, and encourages students to practice independently.

What are the two main steps discussed for simplifying expressions?

• Distribution and combining like terms

• Addition and subtraction

• Distribution and subtraction

• Combining like terms and multiplication

What is the purpose of using an area model in distribution?

• To calculate the total area of terms

• To help visualize the distribution process

• To divide terms into smaller units

• To simplify the addition of terms

How do you handle negative numbers when using the distributive property?

• Use a tic-tac-toe board for accuracy

• Add them as positive numbers

• Ignore the signs and multiply

• Subtract the absolute values

What does combining like terms involve?

• Multiplying coefficients

• Grouping variables and constants separately

• Adding all terms regardless of their type

• Subtracting all constants from variables

In the expression -15y - 10 + 4, what is the simplified form?

• -19y - 10

• -15y - 14

• -15y - 6

• -15y + 6

Why is it important to note the sign in front of a number when using the distributive property?

• It influences the multiplication of terms inside the parentheses

• It has no effect on the distribution

• It determines the direction to move on the number line

• It changes the terms inside the parentheses

What is the result of distributing 6 to the terms 3A and -4?

• 18A + 24

• 21A - 4

• 3A - 10

• 18A - 24

How do you simplify the expression 7 + 18A - 24?

• 18A - 17

• 25A - 17

• 18A + 17

• 25A + 17

What is the final simplified form of the expression 8 + 36M - 8?

• 44M

• 28M

• 36

• 36M

Why is distribution necessary before combining like terms?

• To ensure all terms are aligned

• To simplify the expression fully before final operations

• To prepare terms for proper addition or subtraction

• To multiply terms correctly