ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress

ML Aggarwal Class 7 Solutions Chapter 8 Algebraic Expressions Check Your Progress for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Check Your Progress

Question 1.
Consider the expression \(\frac { 3 }{ 2 }\) x²y – \(\frac { 1 }{ 2 }\) xy² + 6x²y².
(i) How many terms are there? What do you call such an expression?
(ii) List out the terms.
(iii) In the term \(\frac { -1 }{ 2 }\) xy², write down the numerical coefficient and the literal coefficient.
(iv) In the term \(\frac { -1 }{ 2 }\) xy², what is the coefficient of x?
Solution:

Question 2.
Write the Degree of the following polynomials:
(i) \(\frac { 2 }{ 5 }\) x³ – 7x² – \(\frac { 1 }{ 2 }\) x + 3
(ii) \(\frac { 2 }{ 3 }\) xy² – 5xy + \(\frac { 3 }{ 5 }\) y²x² + 2x
Solution:

Question 3.
Identify monomials, binomials and trinomials from the following algebraic expressions:
(i) 5x × y
(ii) 3 – 5x
(iii) \(\frac { 1 }{ 2 }\) (7x – 3y + 5z)
(iv) 3x² – 1.2xy
(v) -3x³y⁴z⁵
(vi) 5x(2x – 3y) + 7x²
Solution:

Question 4.
Using horizontal method:
(i) Add x² + y² – 2xy, -2x² – y² – 2xy and 3x² + y² + xy
(ii) Subtract -x² + y² + 2xy from 2x² – 3y².
Solution:

Question 5.
Using column method, add ab + 2bc – ca and 2ab – bc – ca and subtract 4ab + 5bc – 3ca.
Solution:

Question 6.
The sides fo a triangle are 5a – 3b, 3a + 2b and 5b – 2a, find its perimeter.
Solution:

Question 7.
If two adjacent sides of a rectangle are 4x +7y and 3y – x, find its perimeter.
Solution:

Question 8.
Subtract the sum of 3x² + 2xy – 2y² and 5y² – 7xy from 5x² + 2y² – 3xy.
Solution:

Question 9.
What must be added to 5x³ – 2x² + 3x + 7 to get 7x³ + 7x – 5?
Solution:

Question 10.
How much is 3p – 4q + r less than 4p + 3q – 5r?
Solution:

Question 11.
How much is 3a² – 5ab + 7b² + 3 greater than 2a² + 2ab + 5?
Solution:

Question 12.
How much should 5x³ + 3x² – 2x + 1 be increased to get 6x² + 7?
Solution:

Question 13.
Subtract the sum of 12ab – 10b² – 18a² and 9ab + 12b² + 14a² from the sum of ab + 2b² and 3b² – a².
Solution:

Question 14.
when a = 3, b = 0, c = -2, find the values of:
(i) ab + 2bc + 3ca + 4abc
(ii) a³ + b³ + c³ – 3abc
Solution:

Question 15.
Write the algebraic expression for the nth term of the number pattern 13, 23, 33, 43, ………..
Solution: