# Worksheet on Division of Literals

Practice the questions in the worksheet on division of literals. The questions are related to the literals following the phrases using numbers, literals and the basic operations of addition, subtraction, multiplication and division.

1. Write the following phrases algebraically:

(i) Quotient of p by 9 is added to w.

(ii) Quotient of xz by t is added to m.

(iii) 700 taken away from the quotient of 5k by 7m.

(iv) Product of d and z divided by the difference of k and v.

(v) Quotient of 17 by 5n added to the product of 12 and p.

(vi) Quotient of 70y by z is multiplied by d.

2. Write each of the following algebraically using signs and symbols:

(i) Quotient of k by x is multiplied by z.

(ii) Quotient of m by n added to the product of m and n.

(iii) 50 taken away from the quotient of 2p by 3q.

(iv) Product of 10 and x divided by the difference of u and 7.

(v) Quotient of d by t is added to r.

(vi) u taken away from the quotient of 5h by 8v.

3. Write each of the following statements using numbers, literals and symbols:

(i) Quotient of p by 80 subtracted from 100 less than p.

(ii) Quotient of u by v added to the product of s and t.

(iii) Product of z and 40 divided by the difference of a and c.

(iv) Quotient of b by 5 is multiplied by c.

(v) Quotient of 14 by h added to the product of 5 and t.

(vi) 5k taken away from the quotient of 7r by 9y.

4. Express the share of each of the student algebraically if m mangoes were equally distributed among twenty five students.

Answers for the worksheet on division of literals are given below to check the exact answers of the above algebraic phrases.

1. (i) p/9 + w

(ii) xz/t + m

(iii) 5k/7m - 700

(iv) dz/(k - v)

(v) 17/5n + 12p

(vi) 70dy/z

2. (i) kz/x

(ii) m/n + mn

(iii) 2p/3q - 50

(iv) 10x/(u - 7)

(v) d/t + r

(vi) 5h/8v - u

3. (i) (p - 100) - p/80

(ii) u/v + st

(iii) 40z/(a - c)

(iv) bc/5

(v) 14/h + 5t

(vi) 7r/9y - 5k

4. m/25 apples

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