Скачать или смотреть Class 7 Chapter 10 Exercise 10.1 & Exercise 10.2 Algebraic Expression CBSE New Syllabus NCERT

Class 7 Chapter 10 Exercise 10.1 & Exercise 10.2 Algebraic Expression CBSE New Syllabus NCERT
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 + 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)34x + 14(h)0.1 p2 + 0.2 q23.Identify the numerical coefficients of terms (other than constants) in the followingexpressions:(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 y24.(a)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(b)Identify terms which contain y2 and give the coefficient of y2.(i)8 – xy2(ii)5y2 + 7x(iii)2x2y – 15xy2 + 7y25.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 + x26.State whether a given pair of terms is of like or unlike terms.(i)1, 100(ii)–7x, 52x(iii)– 29x, – 29y(iv)14xy, 42yx(v)4m2p, 4mp2(vi)12xz, 12x2z27.Identify like terms in the following:(a)– xy2, – 4yx2, 8x2, 2xy2, 7y, – 11x2, – 100x, – 11yx, 20x2y,– 6x2, y, 2xy, 3x(b)10pq, 7p, 8q, – p2q2, – 7qp, – 100q, – 23, 12q2p2, – 5p2, 41, 2405p, 78qp,13p2q, qp2, 701p2
1.If m = 2, find the value of:(i)m – 2(ii)3m – 5(iii)9 – 5m(iv)3m2 – 2m – 7(v)524m2.If p = – 2, find the value of:(i)4p + 7(ii)– 3p2 + 4p + 7(iii)– 2p3 – 3p2 + 4p + 73.Find the value of the following expressions, when x = –1:(i)2x – 7(ii)– x + 2(iii)x2 + 2x + 1(iv)2x2 – x – 24.If a = 2, b = – 2, find the value of:(i)a2 + b2(ii)a2 + ab + b2(iii)a2 – b25.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 + 26.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 + 117.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 + a8. (i)If z = 10, find the value of z3 – 3(z – 10).(ii)If p = – 10, find the value of p2 – 2p – 1009.What should be the value of a if the value of 2x2 + x – a equals to 5, when x = 0?10.Simplify the expression and find its value when a = 5 and b = – 3.2(a2 + ab) + 3 – ab