List of top Mathematics Questions on Algebraic Expressions asked in CBSE Class VII

If p=–2,find the value of: (i)4p+7 (ii) –3p²+4p+7 (iii)–2p³–3p²+4p+7

Identify the numerical coefficients of terms (other than constants) in the following expressions: 
(i) 5 – 3t² 
(ii) 1 + t + t² + t³ 
(iii) x + 2xy + 3y 
(iv) 100m + 1000n 
(v) – p²q² + 7pq 
(vi) 1.2 a + 0.8 b 
(vii) 3.14 r² 
(viii) 2 (l + b) 
(ix) 0.1 y + 0.01 y²

(i) If z = 10, find the value of z³ – 3(z – 10) 
(ii) If p = – 10, find the value of p² – 2p – 100

Simplify the expressions and find the value if x is equal to 2
(i) x + 7 + 4 (x – 5) (ii) 3 (x + 2) + 5x – 7 (iii) 6x + 5 (x – 2) (iv) 4(2x – 1) + 3x + 11

Find the value of the following expressions, when x =–1: (i) 2x – 7 (ii) – x + 2 (iii) x²+2x+1 (iv) 2x²–x–2

If a = 2, b = – 2, find the value of: (i) a²+b² (ii) a²+ab+b²(iii) a²–b²

When a = 0, b = – 1, find the value of the given expressions: (i) 2a+2b (ii) 2a²+b²+1 (iii) 2a²b+2ab²+ab (iv) a²+ab+2

Simplify the expression and find its value when a = 5 and b = – 3.2(a²+ab)+3 – ab

What should be the value of a if the value of 2x² + x – a equals 5, when x = 0?

Simplify these expressions and find their values if x = 3, a = – 1, b = – 2. (i) 3x – 5 – x + 9 (ii) 2 – 8x + 4x + 4 (iii) 3a + 5 – 8a + 1 (iv) 10 – 3b – 4 – 5b (v) 2a – 2b – 4 – 5 + a

If m = 2, find the value of: (i) m – 2 (ii) 3m – 5 (iii) 9 – 5m (iv) 3m² – 2m – 7 (v) \(\frac{5m}{2}\)-4

State whether a given pair of terms is of like or unlike terms. (i) 1,100 (ii) –7x,\(\frac{5}{2}\)x (iii) – 29x,– 29y (iv) 14xy,42yx (v) 4m²p,4mp² (vi) 12xz,12x² z²

Classify into monomials, binomials and trinomials.
(i) 4y – 7z (ii) y² (iii) x + y – xy (iv) 100 (v) ab – a – b (vi) 5 – 3t (vii) 4p²q – 4pq² (viii) 7mn (ix) z ² – 3z + 8 (x) a² + b² (xi) z² + z (xii) 1 + x + x²

(a) Identify terms that contain x and give the coefficient of x. (i) y ² x + y (ii) 13y² – 8yx (iii) x + y + 2 (iv) 5 + z + zx (v) 1 + x + xy (vi) 12xy²+25 (vii) 7x+xy²
(b) Identify terms which contain y 2 and give the coefficient of y ² . (i) 8 – xy² (ii) 5y ² + 7x (iii) 2x ² y – 15xy² + 7y²

(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 + x² (c) y – y³ (d) 5xy² + 7x²y (e) – ab + 2b² – 3a²
(ii) Identify terms and factors in the expressions given below:
(a) – 4x + 5 (b) – 4x + 5y (c) 5y + 3y² (d) xy + 2x2y² (e) pq + q (f) 1.2 ab – 2.4 b + 3.6 a (g) \(\frac{3}{4}\) x + \(\frac{1}{4}\) (h) 0.1 p² + 0.2 q²

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.