EXERCISE 8B (1) Two numbers are in the ratio 8 : 3. If the sum of the numbers is 143, find the numbers. Solution: Let the two number is 8x and 3x respectivel… Read more »

EXERCISE 8A Solve: (1) 8x + 3 = 27 + 2x ⇒ 8x – 2x = 27 – 3 ⇒ 6x = 24 ⇒ x = 4 (2) 5x + 7 = 2x – 8 ⇒ 5x – 2x = – 8 – 7 ⇒ 3x = – 15 ⇒ x = – 5 (3) 2z – 1 = 14 – … Read more »

EXERCISE 7E OBJECTIVE QUESTIONS Tick (√) the correct answer in each of the following: (1) (7a 2  – 63b 2 ) = 7(a 2  – 9b 2 ) = 7[(a) 2  – (3b) 2 ] = 7 (a – 3… Read more »

EXERCISE 7D Factorise: (1) x 2  + 5x + 6 Solution: Find two numbers whose sum = (2 + 3) = 5 and product = (2 × 3) = 6 ∴ x 2  + 5x + 6 = x 2  + (3+2)x + 6 =  … Read more »