# Combining Like Terms

## Grade 6 Math Worksheets

Terms that have the same variables raised to the same power are called “like terms”, where the numerical coefficients are different. Like terms are combined with each other to simplify the algebraic expressions.

Combining in algebra that involves simplifying expressions by combining terms with the same variables and exponents. The process involves adding or subtracting coefficients while keeping the variables and exponents unchanged. Get more free 6th Grade Math Worksheets here or Get 6th Grade Math Help from our tutors.

**For example**:**7 x, 10x, and -2x are like terms.**

3*x*^{2}*y*, -5*x*^{2}*y* and 13*x*^{2}*y* are like terms.

*For example:***-15 a + 7a + 6b – 3a + 8a – 20b**

Combining like terms we get,

(-15 + 7 – 3 + 8)*a* + (6 – 20)*b*

**8 a – 14b**

**Some facts about like terms:**

- 2 ×
*a*is the same as 2*a*and is easier to write it as “2*a*” when we simplify an expression. - 1 ×
*b*is the same as*b*.

**Check Point:**

#### Simplify the given expressions:

- 21 + 24
*r*– 71 – 9*r* - 13
*x*+ 5*y*– 8*x*– 12*y*+ 20 - 5
*a*– 15*b*+ 20*a*+ 18*b*+ 3 - -2
*xy*^{2}+ 5*xy*+ 7*xy*^{2}– 15*xy*+ 20 - 20
*a*^{2}*b*+ 30*a*– 7*b*– 10*a*^{2}*b*– 12*a*– 3*b*

##### Answer key

- 15
*r*– 50 - 5
*x*– 7*y*+ 20 - 25
*a*+ 3*b*+ 3 - 5
*xy*^{2}– 10*xy*+ 20 - 10
*a*^{2}*b*+ 18*a*– 10*b*

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