Worksheet on Addition of Like Terms

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

1. Fill in the blanks:

(i) 7 + 3 = ____                      and                        7x + 4x = ____

(ii) 9 + 13 = ____                    and                        9a + 13a = ____

(iii) 6 + 8 = ____                     and                        6mn + 8mn = ____

(iv) 14 + 16 = ____                  and                       14abc + 16abc = ____

(v) 7 + 19 = ____                    and                       7a + 19b = ____

(vi) 2 + 8 = ____                     and                       2abmn + 8abmn = ____

2. Add arranging the like terms:

(i) 8ab and 3ab

(ii) 2abc, abc and 6abc

(iii) 2x, 3x and 4y

(iv) 3x and 2y

(v) 5ab, 3ba and 7bc

(vi) 5a, 9a and 3ab


3. Fill in the blanks:

(i) The sum of -2 and – 5 = ____       and      the sum of -2a and - 5a = ____

 (ii) The sum of 10 and – 9 = ____     and      the sum of 10x and – 9x = ____

(iii) The sum of -7 and – 13 = ____    and      the sum of -7abc and – 13abc = ____

(iv) The sum of 12 and 8 = ____        and      the sum of 12xyz and 8xyz = ____

(v) 18 + 9 + 4 = ____                      and      18m + 9 + 4m = ____

(vi) 14 – 15 + 9 = ____                    and      14mn – 15mn + 9mn = ____


4. Evaluate:

(i) 6x + 4x + 3x + 5x

(ii) x + y + z + x + y + z

(iii) 5mn + 4m2n + 3n + 7n

(iv) ab + bc + ca + bc + cb + ba

(v) 5a3b + 7bc3 + 9c3b2 + c3b

(vi) 2xyz + 12yxz + 13zxy + 4zyx


5. If P = a2 + 2ab + b2, Q = 2a2 – 3ab + 5b2 and R = 4a2 – ab - 7b2, find P + Q + R.


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


Answers:


1. (i) 11, 11x

(ii) 22, 22x

(iii) 14, 14mn

(iv) 30, 30abc

(v) 26, 7a + 19b

(vi) 10, 10abmn


2. (i) 11ab

(ii) 9abc

(iii) 5x + 4y

(iv) 3x + 2y

(v) 9abc

(vi) 14a + 3ab


3. (i) -7, -7a

(ii) 1, x

(iii) -20, -20abc

(iv) 20, 20xyz

(v) 31, 31m

(vi) 8, 8mn


4. (i) 18x

(ii) 2x + 2y + 2z

(iii) 5mn + 4m2n + 10n

(iv) 2ab + 3bc + ca

(v) 5a3b + 8bc3 + 9c3b2

(vi) 31xyz


5. 7a2 – 2ab – b2

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Terms

Like and Unlike Terms

Like Terms

Addition of Like Terms

Subtraction of Like Terms

Adding and Subtracting Like Terms

Unlike Terms

Addition of Unlike Terms

Subtraction of Unlike Terms