ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress
Consider the expression x2y – xy2 + 6x2y2.
(i) How many terms are there? What do you call such an expression?
(ii) List out the terms.
(iii) In the term xy2, write down the numerical coefficient and the literal coefficient.
(iv) In the term xy2, what is the coefficient of x?
Write the Degree of the following polynomials:
(i) x3 – 7x2 – x + 3
(ii) xy2 – 5xy + y2x2 + 2x
Identify monomials, binomials and trinomials from the following algebraic expressions:
(i) 5x × y
(ii) 3 – 5x
(iii) (7x – 3y + 5z)
(iv) 3x2 – 1.2xy
(vi) 5x(2x – 3y) + 7x2
Using horizontal method:
(i) Add x2 + y2 – 2xy, -2x2 – y2 – 2xy and 3x2 + y2 + xy
(ii) Subtract -x2 + y2 + 2xy from 2x2 – 3y2.
Using column method, add ab + 2bc – ca and 2ab – bc – ca and subtract 4ab + 5bc – 3ca.
The sides fo a triangle are 5a – 3b, 3a + 2b and 5b – 2a, find its perimeter.
If two adjacent sides of a rectangle are 4x +7y and 3y – x, find its perimeter.
Subtract the sum of 3x2 + 2xy – 2y2 and 5y2 – 7xy from 5x2 + 2y2 – 3xy.
What must be added to 5x3 – 2x2 + 3x + 7 to get 7x3 + 7x – 5?
How much is 3p – 4q + r less than 4p + 3q – 5r?
How much is 3a2 – 5ab + 7b2 + 3 greater than 2a2 + 2ab + 5?
How much should 5x3 + 3x2 – 2x + 1 be increased to get 6x2 + 7?
Subtract the sum of 12ab – 10b2 – 18a2 and 9ab + 12b2 + 14a2 from the sum of ab + 2b2 and 3b2 – a2.
when a = 3, b = 0, c = -2, find the values of:
(i) ab + 2bc + 3ca + 4abc
(ii) a3 + b3 + c3 – 3abc
Write the algebraic expression for the nth term of the number pattern 13, 23, 33, 43, ………..