Handwritten Solutions for NCERT Class 7th Mathematics – Chapter 12 – Algebraic Expressions – Exercise – 12.2
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)
2. 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^2 y, – 3xy^2 , –5xy^2, 5x^2 y
(viii) 3p^2 q^2 – 4pq + 5, – 10 p^2 q^2 , 15 + 9pq + 7p^2 q^2
(ix) ab – 4a, 4b – ab, 4a – 4b
(x) x^2 – y^2 – 1, y^2 – 1 – x^2, 1 – x^2– y^2
3. 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
4. (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?
5. What should be taken away from 3x^2 – 4y^2 + 5xy + 20 to obtain – x^2 – y^2 + 6xy + 20?
6. (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.
You can find the solutions for previous exercise from here
- Algebraic Expressions – Exercise – 12.1
- Perimeter and Area – Exercise – 11.4
- Chapter 11 – Perimeter and Area – Exercise – 11.3
- Perimeter and Area – Exercise – 11.2
- Chapter 11 – Perimeter and Area – Exercise – 11.1
- Chapter 10 – Practical Geometry – Exercise -10.5
- Practical Geometry – Exercise -10.4
- Chapter 10 – Practical Geometry – Exercise -10.3
- Practical Geometry – Exercise -10.2
- Chapter 10 – Practical Geometry – Exercise -10.1
- Chapter 9 – Rational Numbers – 9.2
- Rational Numbers – Exercise – 9.1
- Comparing Quantities – Exercise – 8.3
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