NCERT Solutions Class-7 Maths chapter-12 Algebraic expressions Exercise-12.2 is prepared by academic team of pw all the questions of NCERT text book are solved step by step with proper and detail solutions explaining each and every questions . For More and additional questions of CBSE class 7 maths you can go to class 7 maths sections. NCERT class 7 Maths Solutions is the best way to enhanced your mathematics skill. And pw practice worksheet & question bank will help you a lot .
Question 1:
Simplify combining like terms:
(i) 21b - 32 + 7b - 20b
(ii)-z 2 + 13z 2 - 5z + 7z 3 -15z
(iii) p -(p - q) - q - (q - p)
(iv) 3a - 2b - ab -(a - b + ab) + 3ab + b -a
(v) 5x 2 y -5x 2 + 3yx 2 -3y 2 + x 2 - y 2 + 8xy 2 -3y 2
(vi) (3y 2 + 5y -4) - (8y - y 2 -4)
Answer:
The parts of the given questions are solved as follows:
(i) It is given in the question that,
We have to simplify the expression by combining like terms:
21b - 32 + 7b - 20b
= 21b – 20d +7b - 32
= (21 – 20 + 7)b – 32
= 8b – 32
(ii) It is given in the question that,
We have to simplify the expression by combining like terms:
-z 2 + 13z 2 - 5z + 7z 3 -15z
= - z2 + 13z2 + 7z3 – 5z – 15z
= z2(- 1 + 13) + 7z3 – z(5+15)
= 12z2 + 7z3 – 20z
(iii) It is given in the question that,
We have to simplify the expression by combining like terms:
p -(p - q) - q - (q - p)
= p – p + q – q – q +p
= p – p + p + q – q – q
= p – q
(iv) It is given in the question that,
We have to simplify the expression by combining like terms:
3a - 2b - ab -(a - b + ab) + 3ab + b -a
= 3a – 2b – ab – a + b – ab + 3ab + b – a
= 3a – a – a – 2b + b + b – ab – ab + 3ab
= (3 – 1 – 1)a–b(2 – 1 - 1) -ab(1 + 1 – 3)
= a + ab
(v) It is given in the question that,
We have to simplify the expression by combining like terms:
5x 2 y -5x 2 + 3yx 2 -3y 2 + x 2 - y 2 + 8xy 2 -3y 2
= 5x2y + 3x2y – 5x2 + x2 – 3y2 –y2 – 3y2 + 8xy2
= (5 + 3)x2y + (– 5 + 1)x2 + (– 3 – 1 – 1)y2 + 8xy2
= 8x2y – 4x2 – 5y2 + 8xy2
(vi) It is given in the question that,
We have to simplify the expression by combining like terms:
(3y 2 + 5y -4) - (8y - y 2 -4)
= 3y2+ 5y – 4 – 8y + y2 + 4
= 3y2 + y2 + 5y – 8y – 4 + 4
= 4y2 – 3y
NCERT CLASS 7 MATHEMATICS SOLUTIONS