## 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.

Solution:

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:

Question 3.

When x = 4 and y = 2, find the value of:

(i) x + y

(ii) x – y

(iii) x^{2} + 2

(iv) x^{2} – 2xy + y^{2}

Solution:

Question 4.

When a = 3 and b = -1, find the value of 2a^{3} – b^{4} + 3a^{2}b^{3}.

Solution:

Question 5.

When a = 3, b = 0, c = -2, find the values of:

(i) ab + 2bc + 3ca + 4abc

(ii) a^{3} + b^{3} + c^{3} – 3abc

Solution:

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: