# 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

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

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