Ncert solutions
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1. NCERT Solutions - Mathematics, Class 7
CHAPTERS
1. Integers
2. Fractions and Decimals
3. Data Handling
4. Simple Equations
5. Lines and Angles
6. The Triangle and its properties
7. Congruence of Triangles
8. Comparing Quantities
9. Rational Numbers
10. Perimeter and Area
11. Algebraic Expressions
12. Exponents and Powers
13. Symmetry
14. Visualising Solid Shapes
EXERCISES
1. Exercise 12.1
2. Exercise 12.2
3. Exercise 12.3
4. Exercise 12.4
Q1) 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^2y-5x^2+3yx^2-3y^2+x^2-y^2+8xy^2-3y^2
vi) (3y2+5y-4)-(8y-y2-4)
Q2) Add:
i) 3mn,-5mn,8mn,-4mn
ii) t-8tz,3tz-z,z-t
iii) -7mn+5,12mn+2,9mn-8,-2mn-3
iv) a+b-3,b-a+3,a-b+3
v) 14x+10y-12xy-13,18-7x-10y+8xy,4xy
vi) 5m-7n,3n-4m+2,2m-3mn-5
vii) 4x^2y,-3xy^2,-5xy^2,5x^2y
viii) 3p^2q^2-4pq+5,-10p^2q^2,15+9pq+7p^2q^2
ix) ab-4a,4b-ab,4a-4b
x) x^2-y^2-1,y^2-1-x^2,1-x^2-y^2
Q3) Subtract
i) -5y^2\ from\ y^2
ii) 6xy\ from-12xy
iii) (a-b)\ from\ (a+b)
iv) a(b-5)\ from\ b(5-a)
v) -m^2+5mn\ from\ 4m^2-3mn+8
vi) -x^2+10x-5\ from\ 5x-10
vii) 5a^2-7ab+5b^{2\ }from\ 3ab-2a^2-2b^2
viii) 4pq-5q^2-3p^2\ from\ 5p^2+3q^2-pq
Q4) (a) What should be added to x^2+xy+y^2 to obtain 2x^2+3xy ?
(b) What should be subtracted from 2a+8b+10 to get -3a+7b+16
Q5) What should be taken away from 3x^2-4y^2+5xy+20 to obtain -x^2-y^2+6xy+20 ?
Q6) (a) From the sum of 3x-y+11 and -y-11 subtract 3x-y-11.
(b) From the sum of 4+3x and 5-4x+2x^2 subtract the sum of 3x^2-5x and -x^2+2x+5.
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Mathematics
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NCERT Solutions - Mathematics, Class 7
Integers
Fractions and Decimals
Data Handling
Simple Equations
Lines and Angles
The Triangle and its properties
Congruence of Triangles
Comparing Quantities
Rational Numbers
Perimeter and Area
Algebraic Expressions
Exponents and Powers
Symmetry
Visualising Solid Shapes
Exercise 12.1
Exercise 12.2
Exercise 12.3
Exercise 12.4
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