Worksheet on Subtraction of Like Terms

Practice the questions given in the worksheet on subtraction of like terms. The questions are based on arranging all the groups of like terms and then they are subtracted.

1. Fill in the blanks:

(i) 7 – 4 = ____                        and                          7xy – 4xy = ____

(ii) 15 – 15 = ____                     and                        15ab – 15ab = ____

(iii) 5 – 13 = ____                      and                         5mn – 13mn = ____

(iv) 39 – 19 = ____                    and                       39xyz – 19xyz = ____

(v) 12 – 7 = ____                       and                      12abc – 7acb = ____

(vi) 13 – 1 =____                       and                      13amz – amz =____

2. Subtract arranging the like terms:

(i) 2a – 7b from 8a – 11b + 7

(ii) –x³ + 3x²y + 2z³ from 9x³ – 5x²y – 4z³

(iii) 8l – 4m - 2n from l – 3m – 7n

(iv) From 2a³ – b³ + 3c³ subtract 5a³ + b³ – c³

(v) From 5m² – mn + 3n³ subtract 3m² – 2nm – 2n³

(vi) From 5x⁴ + xy + 3y³ subtract 2x⁴ – 3xy – 2y³

3. Subtract the first term from the second term:

(i) 8m, 10m

(ii) 4xy, 6yx

(iii) 5mn, 7mn

(iv) 15ab, 30ab 

(v) 17ax², 9ax²

(vi) 23pq, 18pq

4. The sum of two expressions is a – b + 4c if one of the term is 2a – 7b – c, find the other.

5. What should be subtracted from -11p + 3q – 5r to obtain 15p – 17q + 7r.

6. How much is a³ + b³ + c³ less than -2a³ + 5b³ – 9c³?

Answers for the worksheet on subtraction of like terms are given below to check the exact answers of the above questions.

Answers:

1. (i) 3, 3xy

(ii) 0, 0

(iii) -8, -8mn

(iv) 20, 20xyz

(v) 5, 5abc

(vi) 12, 12amz

2. (i) 6a - 4b + 7

(ii) 10x³ – 2x²y – 6z³

(iii) -7l + m – 5n

(iv) -3a³ – 2b³ + 4c³

(v) 2m² + 5n³

(vi) 3x⁴ + 4xy + 5y³

3. (i) 2m

(ii) 2xy

(iii) 2mn

(iv) 15ab

(v) -8ax²

(vi) -5pq

4. -a + 6b + 5c

5. -26p + 20q – 12r

6. -3a³ + 4b³ – 10c³

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