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Adding and subtracting monomials worksheets

Adding and subtracting monomials worksheet with answers.

Example 1 (two variables with the same exponents):

2x3 + 5a3 - x3 - 3a3 =
2x3 - 1x3 + 5a3 - 3a3 =
(2 - 1)x3 + (5 - 3)a3 =
x3 + 2a3

Example 2 (variables and a single number):

12xy + 5a - 6xy - 3a + 15 =
12xy - 6xy + 5a - 3a + 15 =
(12 - 6)xy + (5 - 3)a + 15 =
6xy + 2a + 15

Example 3 (the same variables with the same exponents):

25b2 + 12b2 =
(25 + 12)b2 =
37b2

Example 4 (the same variables with different coefficients):

25b - 12b + 6b =
(25 - 12 + 6)b =
19b

Example 5 (the same variables with different exponents):

25t5 + 12t2 + 5t5 + 2t2 =
(25 + 5)t5 + (12 + 2)t2 =
30t5 + 14t2