Combining Like Terms in Algebra

This video tutorial explains the concept of like terms in algebraic expressions. It covers how to identify like and unlike terms, the importance of combining like terms to simplify expressions, and provides several examples to illustrate these concepts. The tutorial also includes a section on calculating the perimeter of a rectangle using simplified expressions.

What is an algebraic expression?

• A mathematical phrase that describes a geometric shape.

• A mathematical phrase involving numbers and variables without an equal sign.

• A mathematical phrase involving only numbers and operations.

• A mathematical phrase involving numbers and variables with an equal sign.

What does the term 'like terms' refer to?

• Terms that are all constants.

• Terms that have the same variable raised to the same power.

• Terms that have different coefficients.

• Terms that appear similar but have different variables.

How do you combine the terms 7x and 10x?

• 70x

• 3x

• 7x + 10x

• 17x

What is the simplified form of the expression 9 - 8?

• 17

• -1

• 9

• 1

In the expression 14x - 7x, what is the simplified result?

• 14x

• 2x

• 21x

• 7x

What is the result of combining -8 and 10?

• 2

• -18

• -2

• 18

How do you simplify the expression 12x - 8x?

• 4x

• 4

• 12x

• 20x

What is the result of combining -3y and -4y?

• -7y

• -1y

• 7y

• 1y

What is the simplified form of 1.2x + 2.4x?

• 1.8x

• 4.2x

• 3.0x

• 3.6x

What is the perimeter of a rectangle with sides 6x - 5 and 2x?

• 16x - 10

• 16x

• 8x - 10

• 14x - 10