2<\/sup><\/td>\n0.1, p,p \n0.2, q and q<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nQuestion 3. \nIdentify the numerical coefficients of terms (other than constants) in the following expressions: \n(i) 5 – 3t2<\/sup> \n(ii) 1 + t + t2<\/sup> + t3<\/sup> \n(iii) x + 2xy + 3y \n(iv) 100m + 1000n \n(v) -p2<\/sup>q2<\/sup> + 7pq \n(vi) 1.2a + 0.8b \n(vii) 3.14r2<\/sup> \n(viii) 2(l + b) \n(ix) 0.1y + 0.01y2<\/sup> \nAnswer:<\/p>\n\n\n\nExpression<\/td>\n Terms (other than constant)<\/td>\n Numerical coefficient<\/td>\n<\/tr>\n \n(i) 5 – 3t2<\/sup><\/td>\n– 3t2<\/sup><\/td>\n-3<\/td>\n<\/tr>\n \n(ii) 1 + t + t2<\/sup> + t3<\/sup><\/td>\nt \nt2 \n<\/sup>t3<\/sup><\/td>\n1 \n1 \n1<\/td>\n<\/tr>\n \n(iii) x + 2xy + 3y<\/td>\n x \n2xy \n3y<\/td>\n 1 \n2 \n3<\/td>\n<\/tr>\n \n(iv) 100 m + lOOOn<\/td>\n 100m \n1000n<\/td>\n 100 \n1000<\/td>\n<\/tr>\n \n(v) -p2<\/sup>q2<\/sup> + 7pq<\/td>\n-p2<\/sup>q2<\/sup> \n7pq<\/td>\n-1 \n7<\/td>\n<\/tr>\n \n(vi) 1.2a + 0.8b<\/td>\n 1.2a \n0.8b<\/td>\n 1.2 \n0.8<\/td>\n<\/tr>\n \n(vii) 3.14r2<\/sup><\/td>\n3.14r2<\/sup><\/td>\n3.14<\/td>\n<\/tr>\n \n(viii) 2(l + b)<\/td>\n 2l \n2b<\/td>\n 2 \n2<\/td>\n<\/tr>\n \n(ix) 0.1y + 0.01y2<\/sup><\/td>\n0.1y \n0.01y2<\/sup><\/td>\n0.1 \n0.01<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n <\/p>\n
Question 4. \n(a) Identify terms which contain x and give the coefficient of x. \n(i) y2<\/sup>x + y \n(ii) 13y2<\/sup> – 8yx \n(iii) x + y + 2 \n(iv) 5 + z + zx \n(iv) 1+x + xy \n(vi) 12xy2<\/sup> + 25 \n(vii) 7x + xy2<\/sup><\/p>\n(b) Identify terms which contain y2<\/sup> and give the coefficient of y2<\/sup>. \n(i) 8-xy2<\/sup> \n(ii) 5y2<\/sup> + 7x \n(iii) 2x2<\/sup>y – 15xy2<\/sup> + 7y2<\/sup> \nAnswer:<\/p>\n\n\n\nExpression<\/td>\n Term containing x<\/td>\n Coefficient of x<\/td>\n<\/tr>\n \n(i) y2<\/sup>x + y<\/td>\ny2<\/sup>x<\/td>\ny2<\/sup><\/td>\n<\/tr>\n\n(ii) x + y + 2<\/td>\n – 8yx<\/td>\n – 8y<\/td>\n<\/tr>\n \n(iii) 5 + z + zx<\/td>\n x<\/td>\n l<\/td>\n<\/tr>\n \n(iv) 5 + z + zx<\/td>\n zx<\/td>\n Z<\/td>\n<\/tr>\n \n(v) 1 + x + xy<\/td>\n x \nxy<\/td>\n 1 \ny<\/td>\n<\/tr>\n \n(vi) 12xy2<\/sup>+ 25<\/td>\n12xy2<\/sup><\/td>\n12y2<\/sup><\/td>\n<\/tr>\n\n(vii) 7x + xy2<\/sup><\/td>\n7x \nxy2<\/sup><\/td>\n7 \ny2<\/sup><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n(b)<\/p>\n
\n\n\nExpression<\/td>\n Term containing y2<\/sup><\/td>\nCoefficient of y2<\/sup><\/td>\n<\/tr>\n\n(i) 8 – xy2<\/sup><\/td>\n-xy2<\/sup><\/td>\n-X<\/td>\n<\/tr>\n \n(ii) 5y2<\/sup> + 7x<\/td>\n5y2<\/sup><\/td>\n5<\/td>\n<\/tr>\n \n(iii) 2x2<\/sup>y – 15xy2<\/sup> + 7y2<\/sup><\/td>\n– 15xy2 <\/sup>7f<\/td>\n– 15x 7<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\nQuestion 5. \nClassify into monomials, binomials and trinomials. \n(i) 4y – 7z \n(ii) y2<\/sup> \n(iii) x + y – xy \n(iv) 100 \n(v) ab – a – b \n(vi) 5 – 3t \n(vii) 4p2<\/sup>q – 4pq2<\/sup> \n(viii) 7mn \n(ix) z2<\/sup> – 3z + 8 \n(x) a2<\/sup> + b2<\/sup> \n(xi) z2<\/sup> + z \n(xii) 1 + x + x2<\/sup> \nAnswer: \n(i) 4y – 7z \nThe expression 4y – 7z is having two unlike terms (4y and – 7z) \n\u2234 It is a binomial.<\/p>\n <\/p>\n
(ii) y2<\/sup> \nThe expression y2<\/sup> is having only one term (y2<\/sup>) \n\u2234 It is a monomial.<\/p>\n(iii) x + y – xy \nThe expression x + y – xy is having three terms (x, y and – xy) \n\u2234 It is a trinomial.<\/p>\n
(iv) 100 \nThe expression 100 is having only one term (100) \n\u2234 It is a monomial.<\/p>\n
(v) ab – a – b. \nThe expression ab – a – b is having three terms (ab, -a, and -b) \n\u2234 The expression is a trinomial.<\/p>\n
(vi) 5 – 3t \nThe expression 5 – 3t is having two terms (5 and -3t) \n\u2234 It is a binomial expression.<\/p>\n
(vii) 4p2<\/sup>q – 4pq2<\/sup> \nThe expression 4p2<\/sup>q – 4pq2<\/sup> is having \ntwo unlike terms (4p2<\/sup>q and – 4pq2<\/sup>) \n\u2234 The expression is a binomial.<\/p>\n(viii) 7mn \nThe expression 7mn is having only one term (ie 7mn) \n\u2234 The expression is a monomial.<\/p>\n
(ix) z2<\/sup>– 3z + 8 \nThe expression z2<\/sup> – 3z + 8 is having three terms (ie z2<\/sup>, – 3z and 8) \n\u2234 The expression is a trinomial.<\/p>\n <\/p>\n
(x) a2<\/sup> + b2<\/sup> \nThe expression (a2<\/sup> + b2<\/sup>) is having two unlike terms (a2<\/sup> and b2<\/sup>) \n\u2234 It is a binomial expression.<\/p>\n(xi) z2<\/sup> + z \nThe expression z2<\/sup> + z is having two unlike terms (z2 and z) \n\u2234 The expression in binomial.<\/p>\n(xii) 1 + x + x2<\/sup> \nThe expression 1 + x + x2<\/sup> is having three terms (1, x and x2<\/sup>) \n\u2234 The expression is a trinomial.<\/p>\nQuestion 6. \nState whether a given pair of terms is of like or unlike terms. \n(i) 1, 100 \n(ii) -7x, \\(\\frac { 5 }{ 2 }\\)x \n(iii) -29x, -29y \n(iv) 14xy, 42yx \n(v) 4m2<\/sup>p, 4mp2<\/sup> \n(vi) 12xz, 12x2<\/sup>z2<\/sup> \nAnswer: \n(i) 1, 100 is a pair of like terms. \n(ii) \\(\\frac { 5 }{ 2 }\\)x is a pair of like terms. \n(iii) – 29x, – 29y is a pair of unlike terms. \n(iv) 14xy, 42<\/sup>yx is a pair of like terms. \n(v) 4m2<\/sup>p, 4mp2<\/sup> is a pair of unlike terms. \n(vi) 12xz; 12x2<\/sup>z2<\/sup> is a pair of unlike terms.<\/p>\n <\/p>\n
Question 7. \nIdentify like terms in the following: \n(a) -xy2<\/sup>, – 4yx2<\/sup>, 8x2<\/sup>, 2xy2<\/sup>, 7y, -11x2<\/sup>, 100x, -11yx, 20x2<\/sup>y, – 6x2<\/sup>, y, 2xy, 3x \n(b) 10pq, 7p, 8q, – p2<\/sup>q2<\/sup>, -7pq, -100q, -23, 12q2<\/sup>p2<\/sup>, -5p2<\/sup>, 41, 2405p, 78qp, \n13p2<\/sup>q, qp2<\/sup>,701p2<\/sup> \nAnswer: \n(a) -xy2<\/sup> and 2xy2<\/sup>, – 4yx2<\/sup> and 20x2<\/sup> y, 8x2<\/sup>, -11x2<\/sup> and – 6x2<\/sup>; 7y and y; lOOx and 3x; -1 lyx and 2xy are like terms. \n(b) 10pq, – 7pq and 78qp. \n7p and 2405p; 8q and 100q; – p2<\/sup>q2<\/sup> and 12q2<\/sup>p2<\/sup>; – 23 and 41; – 5p2<\/sup> and 701p2<\/sup>; 13p2<\/sup>q and qp2<\/sup> are like terms.<\/p>\n","protected":false},"excerpt":{"rendered":"These NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Ex 12.1 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Exercise 12.1 Question 1. Get the algebraic expressions in the following cases using variables, constants and arithmetic operations. (i) Subtraction of …<\/p>\n
NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Ex 12.1<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[9],"tags":[],"yoast_head":"\nNCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Ex 12.1 - MCQ Questions<\/title>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n