Combining Like Terms in Algebra

The video tutorial explains the concept of combining like terms in algebraic expressions. It begins by defining terms and like terms, emphasizing that like terms have the same variable raised to the same power. The tutorial provides examples, such as 4x + x and -3a - 4a, to demonstrate how to combine like terms by adding or subtracting their coefficients. The process involves identifying like terms and performing arithmetic operations on their coefficients to simplify expressions.

What is a term in an algebraic expression?

• A mathematical operation

• A chunk that includes a variable

• A number without a variable

• A complete equation

How are terms usually connected in an expression?

• With a plus or minus sign

• With an equal sign

• With a multiplication sign

• With a division sign

What makes two terms 'like terms'?

• They have different variables

• They are next to each other in the expression

• They have the same variable raised to the same power

• They have the same coefficient

Which of the following is NOT a like term with 5x?

• 3x

• 7x

• 5y

• 2x

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

• 5y

• 2y

• 3y

• 6y

Which of the following is a like term with -5d?

• 5d

• -5e

• 5f

• -5d

In the expression 4x + x, what is the coefficient of the second term?

• 4

• 0

• x

• 1

What is the result of combining 4x and x?

• 6x

• 4x

• 5x

• 3x

What is the coefficient of x in the expression 7x + 2x?

• x

• 9

• 2

• 7

Which of the following expressions can be simplified by combining like terms?

• 3a + 4b

• 8m + 9n

• 5x + 2x

• 7y - 3z