Combining Like Terms

a + 7b

7a + 7b

1a + 5b

4a + 7b

3x and 4y

3x and -2x

4y and 5y

-2x and 5y

-2y - 2

-2y + 2

-8y - 2

-2y + 8

6x + 3y - 1

7x + 3y - 1

5x + 2y - 1

4x + 2y - 1

Yes, because they can be simplified together.

No, you cannot combine terms with different variables because they represent different quantities.

Yes, as long as they have the same coefficient.

No, because they are always equal to each other.

It makes expressions more complex and harder to understand.

It helps in solving equations by introducing new variables.

Combining like terms is important because it simplifies expressions, making them easier to work with and understand.

It is a method used to eliminate fractions from equations.

x + 5

2x + 5

x + 4

3x + 5

Terms in an algebraic expression that have different variables.

Terms in an algebraic expression that have the same variable(s) raised to the same power.

Terms that can be added together regardless of their variables.

Terms that are always positive in an algebraic expression.

Constants are combined separately from variable terms; add or subtract them as you would with regular numbers.

Constants should be ignored when combining like terms.

Constants can only be combined if they are the same type.

Constants must be multiplied before combining with variable terms.

6 and -2 for m, and 4 and 3 for n

5 and 1 for m, and 7 and 2 for n

6 and 2 for m, and 4 and 3 for n

4 and -2 for m, and 6 and 3 for n