ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Check Your Progress

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Check Your Progress

Question 1.
Look at the following matchstick pattern of polygons. Complete the table. Also write the general rule that gives the number of matchsticks.
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Check Your Progress 1
Solution:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Check Your Progress 2

Question 2.
Write an algebraic expression for each of the following:
(i) If 1-metre cloth costs ₹ x, then what is the cost of 6-metre cloth?
(ii) If the cost of a notebook is ₹ x and the cost of a book is ₹ y, then what is the cost of 5 notebooks and 2 books?
(iii) The score of Ragni in Mathematics is 23 more than two-third of her score in English. If she scores x marks in English, what is her score in Mathematics?
(iv) If the length of a side of a regular pentagon is x cm, then what is the perimeter of the pentagon?
Solution:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Check Your Progress 3

Question 3.
When x = 4 and y = 2, find the value of:
(i) x + y
(ii) x – y
(iii) x2 + 2
(iv) x2 – 2xy + y2
Solution:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Check Your Progress 4
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Check Your Progress 5

Question 4.
When a = 3 and b = -1, find the value of 2a3 – b4 + 3a2b3.
Solution:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Check Your Progress 6

Question 5.
When a = 3, b = 0, c = -2, find the values of:
(i) ab + 2bc + 3ca + 4abc
(ii) a3 + b3 + c3 – 3abc
Solution:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Check Your Progress 7

Question 6.
Solve the following linear equations:
(i) 2x – \(1 \frac{1}{2}=4 \frac{1}{2}\)
(ii) 3(y – 1) = 2(y + 1)
(ii) n – 3 = 5n + 21
(iv) \(\frac{1}{3}(7 x-1)=\frac{1}{4}\)
Solution:
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Check Your Progress 8
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Check Your Progress 9
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Check Your Progress 10
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Check Your Progress 11
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Check Your Progress 12
ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 9 Algebra Check Your Progress 13

ML Aggarwal Class 6 Solutions for ICSE Maths