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) –xy^{2}, -y^{2}x^{2}, 5y^{2}x, -10x^{2}y^{2} and 3xy^{2}2. List out the like terms from each set:
(i) 2m^{2}n^{3}, -3m^{2}n^{3}, 4mn^{2}, 7m^{2}n^{3}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) a^{2}b and –b^{2}a 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) 7b^{2}a and -2ab^{2} 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) –xy^{2}, 5y^{2}x, 3xy^{2} and -y^{2}x^{2}, -10x^{2}y^{2}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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Worksheet on Like and Unlike Terms
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Worksheet on Adding and Subtracting Like Terms
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Worksheet on Addition of Unlike Terms
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