ML Aggarwal Class 6 Solutions for CISE Maths Chapter 9 Algebra Ex 9.4

ML Aggarwal Class 6 Solutions Chapter 9 Algebra Ex 9.4 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Ex 9.4

Question 1.
Find the value of the following:
(i) 4³
(ii) (-6)⁴
(iii) \(\left(\frac{2}{3}\right)^{4}\)
(iv) (-2)³ × 5²
Solution:

Question 2.
Find the value of:
(i) 3x + 2y when x = 3 and y – 2
(ii) 5x – 3y when x = 2 and y = -5
(iii) a + 2b – 5c when a = 2, b = -3 and c = 1
(iv) 2p + 3q + 4r + pqr when p = -1, q = 2 and r = 3
(v) 3ab + 4bc – 5ca when a = 4, 6 = 5 and c = -2.
Solution:

Question 3.
Find the value of:
(i) 2x² – 3x + 4 when × = 2
(ii) 4x³ – 5x² – 6x + 7 when x = 3
(iii) 3x³ + 9x² – x + 8 when x = -2
(iv) 2x⁴ – 5x³ + 7x – 3 when x = -3
Solution:

Question 4.
If x = 5, find the value of:
(i) 6 – 7x²
(ii) 3x² + 8x – 10
(iii) 2x³ – 4x² – 6x + 25
Solution:

Question 5.
If x = 2, y = 3 and z = -1, find the values of:
(i) x + y
(ii) \(\frac{x y}{z}\)
(iii) \(\frac{2 x+3 y-4 z}{3 x-z}\)
Solution:

Question 6.
If a = 2, b = 3 and c = -2, find the value of a² + b² + c² – 2ab – 2bc – 2ca + 3abc.
Solution:

Question 7.
If p = 4, q = -3 and r = 2, find the value of: p³ + q³ – r³ – 3pqr.
Solution:

Question 8.
If m = 1, n = 2 and p = -3, find the value of 2mn⁴ – 15m²n + p.
Solution:

Question 9.
State true or false:
(i) The value of 3x – 2 is 1 when x = 0.
(ii) The value of 2x² – x – 3 is 0 when x = -1.
(iii) p² + q² – r² when p = 5, q = 12 and r = 13.
(iv) 16 – 3x = 5x when x = 2.
Solution:

Question 10.
For x = 2 and y = -3, verify the following:
(i) (x + y)² = x² + 2xy + y²
(ii) (x – y)² = x² – 2xy + y²
(iii) x² – y² = (x + y) (x – y)
(iv) (x + y)² = (x – y)² + 4xy
(v) (x + y)³ = x³ + y³ + 3x²y + 3xy²
Solution: