Mastering Distributive Property and Combining Like Terms

The video tutorial covers a math lesson focusing on the distributive property and combining like terms. It begins with an introduction and setup instructions, followed by a review of key vocabulary terms such as terms, expressions, and equations. The distributive property is explained in detail, with examples provided to illustrate its application. The lesson concludes with an explanation of combining like terms, including examples to reinforce the concept.

What is a term in mathematics?

• A statement that the values of two mathematical expressions are equal

• A number that has no variable

• A number by itself or the product of a number and variables

• A mathematical phrase that contains terms separated by plus or minus

Which of the following is an example of an expression?

• 7y

• 3

• 7y + 3

• 24

What does the distributive property allow us to do?

• Solve equations

• Add and subtract terms

• Simplify expressions or equations by removing parentheses

• Combine like terms

In the expression 3(x + 7), what is the result after applying the distributive property?

• 3 + 21

• 3x + 7

• 3x + 21

• 3 + 7x

How do you handle a negative sign in front of parentheses when using the distributive property?

• Ignore the negative sign

• Multiply everything inside the parentheses by -1

• Divide everything inside the parentheses by -1

• Add the negative sign to the first term inside the parentheses

What is a coefficient?

• A mathematical phrase that contains terms separated by plus or minus

• A number that has no variable

• A number that sits in front of a variable

• A number by itself

Which of the following is a constant?

• 3x

• 7x

• 4y

• 21

What is the first step in combining like terms?

• Add the constants

• Subtract the variables

• Identify the terms

• Combine the coefficients

In the expression 2x + 4x + 3, what is the simplified form?

• 2x + 3

• 6x + 3

• 6x

• 2x + 4x

In the expression 2x + 4y - 3x + 5, which terms can be combined?

• 2x and 4y

• 4y and 5

• 2x and -3x

• 2x and 5