## ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Ex 9.5

Question 1.

State which of the following are equations with a variable. In case of an equation with a variable, identify the variable.

(i) 17 + x = 5

(ii) 2b – 3 = 7

(iii) (y – 7) > 5

(iv) \(\frac{9}{3}=3\)

(v) 7 × 3 – 19 = 2

(vi) 5 × 4 – 8 = 31

(vii) 2p < 15

(viii) 7 = 11 × 5 – 12 × 4

(ix) \(\frac{3}{2} q=5\)

Solution:

Question 2.

Solve each of the following equations :

(i) x + 6 = 8

(ii) 2 – x = 5

(iii) 4x = -6

(iv) \(\frac{x}{2}=5\)

(v) 2y – 3 = 2

(vi) 4 – 5y = 2

Solution:

Question 3.

Solve the following linear equations:

(i) 5(x + 1) = 25

(ii)2(3x – 1) = 10

(iii) \(\frac{3 x-1}{4}=11\)

Solution:

Question 4.

Solve the following linear equations:

Solution:

Question 5.

Solve the following equations and verify your answers:

(i) 3(x + 7) = 18

(ii) 2(x- 1) = x + 2

(iii) \(3 x-\frac{1}{3}=2\left(x-\frac{1}{2}\right)+5\)

(iv) 4(2x – 1) -2(x – 5) = 5(x + 1) + 3

Solution: