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