Worksheet on Coefficients

Practice the questions given in the worksheet on coefficients (numerical & literal). The questions are based on indentifying the numerical coefficient and the literal coefficient in each term.

1. State whether the following statement is true or false:

(i) The coefficient of x in 10x is 10x

(ii) The coefficient of mn in –mn is -1

(iii) The coefficient of b in -7ab is -7

(iv) In product 9pq, 9 is the numerical coefficient of pq

(v) In product 4abc, b is the literal coefficient of 4a

2. Write down the coefficient of x in each of the following:

(i) x

(ii) –x

(iii) –7x

(iv) – 3ax

(v) (1/3)xy

(vi) bx/y

3. Write down the numerical and literal coefficients in each of the following term:

(i) 45m²n

(ii) -7u/v

(iii) 3/5 ab³

(iv) -11/z



4. In 7ab²c³, write the coefficient of:

(i) 7

(ii) a

(iii) b²

(iv) c³

(v) 7a

(vi) ab²



5. Write down the coefficient of mn² in each of the following:

(i) -mn²

(ii) 5mn²

(iii) -7mn²

(iv) (2/5) mn²

(v) 3mn²x

(vi) (-3x/y) mn²



6. Write the coefficient of:

(i) a in -2ab²

(ii) a in -ap

(iii) b in -b

(iv) b in (2/p) b

(v) ab in -7abc

(vi) ap in -ab²p

(vii) a²b in -5pa²b

(viii) ab² in 7pab²

(ix) x² in -10x²y

(x) x²y in 7abx²y

7. State the numerical coefficient of each of the following:

(i) 3mn

(ii) xyz

(iii) 7abc

(iv) -2m/n

(v) 3/5 mn²

(vi) -13ab/3c

(vii) -9a ÷ b

(viii) -5p ÷ (3q)

(ix) a/-b

(x) –p/-q

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

Answers:

1. (i) False

(ii) True

(iii) False

(iv) True

(v) False

2. (i)  1

(ii) –1

(iii) –7

(iv) – 3a

(v) (1/3)y

(vi) b/y

3. (i) 45, m²n

(ii) -7, u/v

(iii) 3/5, ab³

(iv) -11, 1/z



4. (i) ab²c³

(ii) 7b²c³

(iii) 7ac³

(iv) 7ab²

(v) b²c³

(vi) 7c³

5. (i) -1

(ii) 5

(iii) -7

(iv) 2/5

(v) 3x

(vi) -3x/y

6. (i) -2b²

(ii) -p

(iii) -1

(iv) 2/p

(v) -7c

(vi) -b²

(vii) -5p

(viii) 7p

(ix) -10y

(x) 7ab

7. (i) 3

(ii) 1

(iii) 7

(iv) -2

(v) 3/5

(vi) -13/3

(vii) -9

(viii) -5/3

(ix) -1

(x) 1

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