Worksheet on Like and Unlike Terms

Practice the questions given in the worksheet on like and unlike terms. The questions are based on identifying like and unlike terms from each group.

1. Group the like terms together:

(i) 5x, -7y, -x, y/2, 5x/7, x and y

(ii) 2/3ab, -3ab, 5bc, -2/5bc, bc/4 and ab

(iii) –xy2, -y2x2, 5y2x, -10x2y2 and 3xy2

(iv) 8ax, -3by, by/10, 5xa and 3/5ax

(v) 5a2b, ab2, 3a2b, 2ab2 and 10a2b


2. List out the like terms from each set:

(i) 2m2n3, -3m2n3, 4mn2, 7m2n3

(ii) 12a2b, 3ab2, 4ba2, 2a2b

(iii) 2u3v2, 4u2v3, 7v2u3, -2u3v2

(iv) -3a3b2z, 4zb3a2, 12a3b2z, 17a3b2

(v) 3x2y2z, 2xz2y2, -5x2y2z, 7zx2y2, -11x3y2


3. State whether the following statements are true or false:

(i) 8z has two terms 8 and z.

(ii) Expression 10 + k has two terms 10 and k.

(iii) xy and –yx are like terms.

(iv) a2b and –b2a are like ters.

(v) m and –m are like terms.

(vi) –ba and 5ab are unlike terms.

(vii) 10 and 10z are like terms.

(viii) 5xy and 3axy are unlike terms.

(ix) 7b2a and -2ab2 are like terms.

(x) m/5, 5m, m are unlike terms.


4. State the number of terms in each of the following expressions:

(i) 2a – p

(ii) 5 × z + m ÷ 2   

(iii) 7z – z/a

(iv) p ÷ m × q + r

(v) 5x ÷ 3 + z + 5

(vi) (c – 3m + 5) ÷ 2

(vii) a × b × y × z ÷ 11

(viii) x + y ÷ p

(ix) x + y + z + 13 ÷ m

(x) 3 × a + 3 ÷ x + 3


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


Answers:


1. (i) 5x, -x, 5x/7, x and -7y, y/2, y

(ii) 2/3ab, -3ab, ab and 5bc, -2/5bc, bc/4

(iii) –xy2, 5y2x, 3xy2 and -y2x2, -10x2y2

(iv) 8ax, 5xa, 3/5ax and -3by, by/10

(v) 5a2b, 3a2b, 10a2b and ab2, 2ab2



2. (i) 2m2n3, -3m2n3, 7m2n3

(ii) 12a2b, 4ba2, 2a2b

(iii) 2u3v2, 7v2u3, -2u3v2

(iv) -3a3b2z, 12a3b2z

(v) 3x2y2z, -5x2y2z, 7zx2y2


3. (i) False

(ii) True

(iii) True

(iv) False

(v) True

(vi) False

(vii) False

(viii) True

(ix) True

(x) False


4. (i) two terms

(ii) two terms

(iii) two terms 

(iv) two terms 

(v) three terms 

(vi) three terms 

(vii) one term

(viii) two terms

(ix) four terms 

(x) three terms 

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