Worksheet on Addition of Unlike Terms

Practice the questions given in the worksheet on addition of unlike terms. We know that, the sum of two or more like terms can be express as a single like term but in case of unlike terms we cannot add them together to express the result as a single term.

1. Find the sum of:

(i) 3x and 5y

(ii) 2a and 7a²

(iii) 9x²y and 3x²

(iv) 8ab, 3a and 4b

(v) 2a, 5a² and 9a³

(vi) xy, yz and zx

2. Add the following:

(i) 2a, 3a and 7b

(ii) 6a, 4a and 8ab

(iii) 3p, 5q and 11q

(iv) 3ab, 5ba and 7b

(v) 25pq, 35qp and 15pr

(vi) 7x²y, 2xy and 5yx²

3. Simplify the following:

(i) -3a and 7b

(ii) 5a and -4b

(iii) -x² and x

(iv) xy and -yz

(v) –abc and ab

(vi) m²n and –mn²

4. Evaluate the following:

(i) 6a – b – 5a 

(ii) 12ab – 3ab + 5bc

(iii) x – 3x + 5y + 10x

(iv) 4a + 3b – 2a – b

(v) 5mn + 6nm + 13

(vi) 9abc – 11ab + 39abc

5. What is the sum of -7xy and -11x?

6. Sam has x number of marbles and Ron has y number of marbles. How many marbles both of them has altogether?

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Answers for the worksheet on addition of unlike terms are given below to check the exact answers of the above questions on adding unlike terms.

Answers:

1. (i) 3x + 5y

(ii) 2a + 7a²

(iii) 9x²y + 3x²

(iv) 8ab + 3a + 4b

(v) 2a + 5a² + 9a³

(vi) xy + yz + zx

2. (i) 5a + 7b

(ii) 10a + 8ab

(iii) 3p + 16q

(iv) 8ab + 7b

(v) 60pq + 15pr

(vi) 12x²y + 2xy

3. (i) -3a + 7b

(ii) 5a - 4b

(iii) -x² + x

(iv) xy  - yz

(v) –abc + ab

(vi) m²n – mn²

4. (i) a – b

(ii) 9ab + 5bc

(iii) 8x + 5y

(iv) 2a + 2b

(v) 11mn + 13

(vi) 48abc – 11ab

5. -7xy - 11x

6. (x + y) marbles

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