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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