Solutions for NCERT Class 7th Mathematics – Chapter 12 – Algebraic Expressions – Exercise – 12.1
1. Get the algebraic expressions in the following cases using variables, constants and
arithmetic operations.
(i) Subtraction of z from y.
(ii) One-half of the sum of numbers x and y.
(iii) The number z multiplied by itself.
(iv) One-fourth of the product of numbers p and q.
(v) Numbers x and y both squared and added.
(vi) Number 5 added to three times the product of numbers m and n.
(vii) Product of numbers y and z subtracted from 10.
(viii) Sum of numbers a and b subtracted from their product.
2. (i) Identify the terms and their factors in the following expressions
Show the terms and factors by tree diagrams.
(a) x – 3 (b) 1 + x + x^2 (c) y – y^3 (d) 5xy^2 + 7x^2y (e) – ab + 2b^2 – 3a^2
(ii) Identify terms and factors in the expressions given below:
(a) – 4x + 5 (b) – 4x + 5y (c) 5y + 3y2 (d) xy + 2x^2 y^2 (e) pq + q (f) 1.2 ab – 2.4 b + 3.6 a
(g) 3/4 x + 1/4 (h) 0.1 p^2 + 0.2 q^2
3. Identify the numerical coefficients of terms (other than constants) in the following expressions:
(i) 5 – 3t^2 (ii) 1 + t + t^2 + t^3 (iii) x + 2xy + 3y (iv) 100m + 1000n (v) – p^2 q^2 + 7pq (vi) 1.2 a + 0.8 b (vii) 3.14 r^2 (viii) 2 (l + b) (ix) 0.1 y + 0.01 y^2
4. (a) Identify terms which contain x and give the coefficient of x.
(i) y^2 x + y (ii) 13y^2 – 8yx (iii) x + y + 2 (iv) 5 + z + zx (v) 1 + x + xy (vi) 12xy^2 + 25 (vii) 7x + xy^2
(b) Identify terms which contain y^2 and give the coefficient of y^2.
(i) 8 – xy^2 (ii) 5y^2 + 7x (iii) 2x^2y – 15xy^2 + 7y^2
5. Classify into monomials, binomials and trinomials.
(i) 4y – 7z (ii) y^2 (iii) x + y – xy (iv) 100 (v) ab – a – b (vi) 5 – 3t (vii) 4p^2 q – 4pq2 (viii) 7mn (ix) z^2 – 3z + 8 (x) a^2+ b^2 (xi) z^2
+ z (xii) 1 + x + x^2
6. State whether a given pair of terms is of like or unlike terms.
(i) 1, 100 (ii) –7x, 5/2 x (iii) – 29x, – 29y (iv) 14xy, 42yx (v) 4m^2p, 4mp^2 (vi) 12xz, 12x^2 z^2
7. Identify like terms in the following:
(a) – xy^2 , – 4yx^2, 8x^2, 2xy^2, 7y, – 11x^2, – 100x, – 11yx, 20x^2 y , – 6x^2 , y, 2xy, 3x
(b) 10pq, 7p, 8q, – p^2 q^2 , – 7qp, – 100q, – 23, 12q^2 p^2 , – 5p^2, 41, 2405p, 78qp,13p^2 q, qp^2, 701p^2
You can find the solutions for previous exercise from here
- Perimeter and Area – Exercise – 11.4
- Chapter 11 – Perimeter and Area – Exercise – 11.3
- Perimeter and Area – Exercise – 11.2
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- Chapter 10 – Practical Geometry – Exercise -10.5
- Practical Geometry – Exercise -10.4
- Chapter 10 – Practical Geometry – Exercise -10.3
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- Chapter 9 – Rational Numbers – 9.2
- Rational Numbers – Exercise – 9.1
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