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Simplify combining like terms: 5x²y – 5x² + 3yx² – 3y² + x² – y² + 8xy²– 3y²

5x2y – 5x2 + 3yx2 – 3y2 + x2 – y2 + 8xy2 – 3y2 Answer On combining the like terms and simplifying we get =... View Article

Simplify combining like terms: 3a – 2b – ab – (a – b + ab) + 3ab + b – a

3a – 2b – ab – (a – b + ab) + 3ab + b – a Answer On combining... View Article

Simplify combining like terms: p – (p – q) – q – (q – p)

p – (p – q) – q – (q – p) Solution:- On combining the like terms and simplifying we... View Article

Simplify combining like terms: – z² + 13z² – 5z + 7z³ – 15z

– z2 + 13z2 – 5z + 7z3 – 15z Answer On combining the like terms and simplifying we get = 7z3 + (-z2 +... View Article

Simplify combining like terms: 21b – 32 + 7b – 20b

21b – 32 + 7b – 20b Answer On combining the like terms and simplifying we get = (21b +... View Article

Identify like terms in the following: 10pq, 7p, 8q, – p²q², – 7qp, – 100q, – 23, 12q²p², – 5p², 41, 2405p, 78qp, 13p²q, qp², 701p²

10pq, 7p, 8q, – p2q2, – 7qp, – 100q, – 23, 12q2p2, – 5p2, 41, 2405p, 78qp, 13p2q, qp2, 701p2... View Article

Identify like terms in the following: – xy², – 4yx², 8x², 2xy² 7y, – 11x², – 100x, – 11yx, 20x²y, – 6x², y, 2xy, 3x

– xy2, – 4yx2, 8x2, 2xy2, 7y, – 11x2, – 100x, – 11yx, 20x2y, – 6x2, y, 2xy, 3x Answer... View Article

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) 4m²p, 4mp² (vi) 12xz, 12x²z²

When terms have the same algebraic factors, they are like terms. The terms have different algebraic factors, they are unlike... View Article

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) z² – 3z + 8 (x) a² + b² (xi) z² + z (xii) 1 + x + x²

(i) 4y – 7z Answer Binomial. An expression that consists of two unlike terms is called a binomial. (ii) y2... View Article

Identify terms which contain y² and give the coefficient of y². (i) 8 – xy² (ii) 5y²+ 7x (iii) 2x2y – 15xy² + 7y²

Sl.No. Expression Terms Coefficient of y2 (i) 8 – xy2 – xy2 – x (ii) 5y2 + 7x 5y2 5 (iii)... View Article

Identify terms which contain x and give the coefficient of x. (i) y²x + y (ii) 13y² – 8yx (iii) x + y + 2 (iv) 5 + z + zx (v) 1 + x + xy (vi) 12xy² + 25 (vii) 7x + xy²

Solution:- Sl.No. Expression Terms Coefficient of x (i) y2x + y y2x y2 (ii) 13y2 – 8yx – 8yx -8y... View Article

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

A coefficient is a number used to multiply a variable (2x means 2 times x, so 2 is a coefficient) Variables on their... View Article

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) ¾ x + ¼ (h) 0.1 p² + 0.2 q²

A coefficient is a number used to multiply a variable (2x means 2 times x, so 2 is a coefficient) Variables on their... View Article

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

(a) x – 3 Answer Expression: x – 3 Terms: x, -3 Factors: x; -3 (b) 1 + x +... View Article

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.

(i) Subtraction of z from y. Answer = Y – z (ii) One-half of the sum of numbers x and... View Article

Find the area of the quadrilateral ABCD. Here, AC = 22 cm, BM = 3 cm, DN = 3 cm, and BM ⊥ AC, DN ⊥ AC

Given AC = 22 cm, BM = 3 cm, DN = 3 cm, and BM ⊥ AC, DN ⊥ AC... View Article

In the following figures, find the area of the shaded portions:

To determine the area of EFDC, first we have to find the area of ΔAEF, ΔEBC and rectangle ABCD Area of ΔAEF... View Article

The adjoining figure represents a rectangular lawn with a circular flower bed in the middle. Find: (i) the area of the whole land (ii) the area of the flower bed (iii) the area of the lawn excluding the area of the flower bed (iv) the circumference of the flower bed.

Given From the given data we get to know that The radius of a circular pipe = 4 cm Side... View Article

Pragya wrapped a cord around a circular pipe of radius 4 cm (adjoining figure) and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm (also shown). Did she have any cord left? (π = 3.14)

Given From the given data we get to know that The radius of a circular pipe = 4 cm Side... View Article

Through a rectangular field of length 90 m and breadth 60 m, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the fields. If the width of each road is 3 m, find (i) the area covered by the roads. (ii) the cost of constructing the roads at the rate of ₹ 110 per m²

Given From the given data we get to know that Length of the field (L) = 90 m Breadth of... View Article

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