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Adding monomials worksheet

Adding monomials worksheet with answers.

Examples

See the definition of like terms.

Example 1.

Add the monomials

15x + 10y + 5x + 7y

Solution.

15x + 10y + 5x + 7y =
(15x + 5x) + (10y + 7y) =
20x + 17y

The answer: 20x + 17y.

Example 2.

Add the following monomials

25a2 + 23a2

Solution.

25a2 + 23a2 =
48a2

The answer: 48a2.

Example 3.

Add the following monomials

6a2 + 4b2 + 4a2 + 3b2

Solution.

6a2 + 4b2 + 4a2 + 3b2 =
(6a2 + 4a2) + (4b2 + 3b2) =
10a2 + 7b2

The answer: 10a2 + 7b2.

Example 4.

Add the following monomials

9x8 + 8y7 + y7 + 3x8

Solution.

9x8 + 8y7 + y7 + 3x8 =
(9x8 + 3x8) + (8y7 + 1 * y7) =
11x8 + 9y7

The answer: 11x8 + 9y7.

See Addition of monomials worksheet.