Worksheet on Like and Unlike Terms | Identifying Like and Unlike Terms Worksheet PDF

In this article of ours, we will discuss identifying like and unlike terms. Practice the questions in the Like and Unlike Terms Worksheet and check if the variables and exponent powers are the same or not and decide. Get a good hold of the concept by answering the Worksheet on Like and Unlike Terms and feel simplifying algebraic expressions much easier. Download the Identifying Like and Unlike Terms Worksheet PDF accessible for free of cost and prepare anytime and anywhere.

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Like and Unlike Terms Worksheet with Answers

I. List out the like terms from each set:
(i) 5x²y³, 2x²y³, -4x²y², 6x²y³
(ii) 15m²n, 13mn², 4nm², 12m²n
(iii) 3a³b³, 5a²b³, 6a²b³, -4a³b³
(iv) -6a³b²z, 2zb³a², 15a³b²z, 18a³b²
(v) 2a²b²c², 3ac²b², -6a²b²c², 8c²a²b², -12a³b²

Solution:

(i) Given 5x²y³, 2x²y³, -4x²y², 6x²y³
Here the like terms are 5x²y³, 2x²y³, 6x²y³(since the variables and their exponent’s powers are the same).

(ii)Given 15m²n, 13mn², 4nm², 12m²n
Here the like terms are 15m²n, 4nm², 12m²n.

(iii)Given 3a³b³, 5a²b³, 6a²b³, -4a²b³
Here the like terms are 5a²b³, 6a²b³, -4a²b³
.
(iv)Given -6a³b²z, 2zb³a², 15a³b²z, 18a³b²
Here the like terms are -6a³b²z, 15a³b²z.

(v)Given 2a²b²c², 3ac²b², -6a²b²c², 8c²a²b², -12a³b²
Here the like terms are 2a²b²c², -6a²b²c², 8c²a²b².

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II. Group the like terms together:
(i) 2a, -5b, -a, b/3, 3a/4, 6a and b
(ii) 1/4xy, -5xy, 5yz, -2/7yz, yz/3 and xy
(iii) –ab2, -b2a2, 2b2a, -13a2b2 and 4ab2
(iv) 14ax, -5by, by/8, 5xa and 1/3ax
(v) 6m2n, mn2, 4m2n, 3mn2 and 13m2n

Solution:

(i) Given 2a, -5b, -a, b/3, 3a/4, 6a and b
2a,-a,3a/4,6a and -5b,b/3,b.
Hence, By grouping the like terms together we get 2a,-a,3a/4,6a and -5b,b/3,b.

(ii) Given 1/4xy, -5xy, 5yz, -2/7yz, yz/3 and xy
1/4xy, -5xy, xy and  5yz, -2/7yz, yz/3.

(iii) Given –ab2, -b2a2, 2b2a, -13a2b2 and 4ab2
–ab2,4ab2,2b2a and -b2a2, -13a2b2

(iv) Given 14ax, -5by, by/8, 5xa and 1/3ax
14ax, 5xa, 1/3ax and -5by, by/8.

(v) Given 6m2n, mn2, 4m2n, 3mn2 and 13m2n
6m2n,4m2n,13m2n and mn2, 3mn2.

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III. State the number of terms in each of the following expressions:
(i) 15x – y
(ii) 3 × x + y ÷ 3
(iii) 5x – x/b
(iv) x ÷ m × n + r
(v) 2x ÷ 4 + z + 3
(vi) (5c – m + 2) ÷ 4
(vii) a × x × y × z ÷ 15
(viii) m+ n ÷ q
(ix) a + b + c + 15 ÷ p
(x) 2 × b + 2 ÷ y + 3

Solution:

(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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Iv. State whether the following statements are true or false:
(i) 5z has two terms 5 and z.
(ii) Expression 5 + p has two terms 5 and p.
(iii) ab and –ba are like terms.
(iv) x2y and –y2x are like terms.
(v) a and –a are like terms.
(vi) –yx and 3xy are unlike terms.
(vii) 15 and 15z are like terms.
(viii) 2mn and 4amn are unlike terms.
(ix) 5n2m and -3mn2 are like terms.
(x) x/3, 2x, x are unlike terms.

Solution:

(i) False
(ii) True
(iii) True
(iv) False
(v) True
(vi) False
(vii) False
(viii) True
(ix) True
(x) False

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