NCERT Class 6 Mathematics Eleventh Chapter Algebra Exercise 11.5 Solution

NCERT Class 6 Mathematics Eleventh Chapter Algebra Exercise 11.5 Solution

EXERCISE 11.5

(1) State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.

(a) 17 = x + 7

Ans: An equation variable with x.

(e) 5 × 4 – 8 = 2 x

Ans: An equation variable with x.

(f) x – 2 = 0

Ans: An equation variable with

(h) 2n + 1 = 11

Ans: An equation variable with n.

(j) 7 = (11 × 2) + p

Ans: An equation variable with p.

(k) 20 = 5y

Ans: An equation variable with y.

(o) 7 – x = 5

Ans: An equation variable with x.

(2) Complete the entries in the third column of the table.

(3) Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.

(b) n + 12 = 20 (12, 8, 20, 0)

Or, n = 20 – 12

Or, n = 8

(c) p – 5 = 5 (0, 10, 5 – 5)

Or, p = 5 + 5

Or, p = 10

(e) r – 4 = 0 (4, – 4, 8, 0)

Or, r = 4

(f) x + 4 = 2 (– 2, 0, 2, 4)

Or, x = 2 – 4

Or, x = – 2

(4) (a) Complete the table and by inspection of the table find the solution to the equation m + 10 = 16.

Solution:  m + 10 = 16

Or, m = 16 – 10

Or, m = 6

(b) Complete the table and by inspection of the table, find the solution to the equation 5t = 35.

Solution:  5t = 35

Or, z = 12

(d) Complete the table and find the solution to the equation m – 7 = 3.

Solution: m – 7 = 3

Or, m = 3 + 7

Or, m = 10