{"id":27709,"date":"2021-07-01T16:13:08","date_gmt":"2021-07-01T10:43:08","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=27709"},"modified":"2022-03-02T10:31:03","modified_gmt":"2022-03-02T05:01:03","slug":"ncert-solutions-for-class-8-maths-chapter-9-ex-9-1","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-9-ex-9-1\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1"},"content":{"rendered":"

These NCERT Solutions for Class 8 Maths<\/a> Chapter 9 Algebraic Expressions and Identities Ex 9.1 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Exercise 9.1<\/h2>\n

Question 1.
\nIdentify the terms, their coefficients for each of the following expressions.
\n(i) 5xyz2<\/sup> – 3zy
\n(ii) 1 + x + x2<\/sup>
\n(iii) 4x2<\/sup>y2<\/sup> – 4x2<\/sup>y2<\/sup>z2<\/sup> + z2<\/sup>
\n(iv) 3 – pq + qr – rp
\n(v) \\(\\frac{x}{2}+\\frac{y}{2}\\) – xy
\n(vi) 0.3a – 0.6ab + 0.5b
\nSolution:
\n(i) 5xyz2<\/sup> – 3zy
\nTerms are 5xyz2<\/sup> and -3zy
\nCoefficients of 5xyz2<\/sup> is 5
\nCoefficients of-3zy is -3<\/p>\n

(ii) 1 + x + x2<\/sup>
\nTerms are x2<\/sup>, x, and 1
\nCoefficient of x2<\/sup> is 1
\ncoefficient of x is 1
\nand constant term is 1<\/p>\n

\"NCERT<\/p>\n

(iii) 4x2<\/sup>y2<\/sup> – 4x2<\/sup>y2<\/sup>z2<\/sup> + z2<\/sup>
\nTerms are 4x2<\/sup>y2<\/sup>, -4x2<\/sup>y2<\/sup>z2<\/sup> and z2<\/sup>
\nCoefficient of x2<\/sup>y2<\/sup> is 4
\nCoefficient of -4x2<\/sup>y2<\/sup>z2<\/sup> is -4
\nCoefficient of z2<\/sup> is 1<\/p>\n

(iv) 3 – pq + qr – rp
\nTerms are 3, -pq, qr and -rp
\nCoefficient of 3 is 3.
\nCoefficient of -pq is -1.
\nCoefficient of qr is 1 and coefficient of -rp is -1<\/p>\n

(v) \\(\\frac{x}{2}+\\frac{y}{2}\\) – xy
\nTerms are \\(\\frac{x}{2}, \\frac{y}{2}\\) and -xy
\nCoefficient of \\(\\frac{\\mathrm{x}}{2}\\) is \\(\\frac{1}{2}\\)
\nCoefficient of \\(\\frac{\\mathrm{x}}{2}\\) is \\(\\frac{1}{2}\\)
\nand coefficient of -xy is -1<\/p>\n

(vi) 0.3a – 0.6ab + 0.5b
\nTerms are 0.3a, -0.6ab and 0.5b
\nCoefficient of 0.3a is 0.3
\nCoefficient of -0.6ab is -0.6
\nCoefficient of 0.5b is 0.5<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nClassify the following polynomial as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?
\nx + y, 1000, x + x2<\/sup> + x3<\/sup> + x4<\/sup>, 7 + y + 5x, 2y – 3y2<\/sup>, 2y – 3y2<\/sup> + 4y3<\/sup>, 5x – 4y + 3xy, 4z – 15z2<\/sup>, ab + bc + cd + da, pqr, p2<\/sup>q + pq2<\/sup>, 2p + 2q
\nSolution:
\nMonomials: 100pqr
\nBinomials: x + y; 2y – 3y2<\/sup>; 4z – 15z2<\/sup>; p2<\/sup>q + pq2<\/sup>; 2p + 2q
\nTrinomials: 7 + y + 5x; 2y – 3y2<\/sup> + 4y3<\/sup>; 5x – 4y + 3xy
\nPolynomials that do not fit in these categories: x + x2<\/sup> + x3<\/sup> + x4<\/sup> and ab + bc + cd + da
\n(Since the above polynomials has four terms)<\/p>\n

Question 3.
\nAdd the following.
\n(i) ab – bc, bc – ca, ca – ab
\n(ii) a – b + ab, b – c + bc, c – a + ac
\n(iii) 2p2<\/sup>q2<\/sup> – 3pq + 4, 5 + 7pq – 3p2<\/sup>q2<\/sup>
\n(iv) l2<\/sup> + m2<\/sup>, m2<\/sup> + n2<\/sup>, n2<\/sup> + l2<\/sup>, 2lm + 2mn + 2nl
\nSolution:
\n(i) ab – bc; bc – ca; ca – ab
\n\"NCERT<\/p>\n

(ii) a – b + ab; b – c + bc; c – a + ac
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

(iii) 2p2<\/sup>q2<\/sup> – 3pq + 4; 5 + 7pq – 3p2<\/sup>q2<\/sup>
\n\"NCERT<\/p>\n

(iv) l2<\/sup> + m2<\/sup>; m2<\/sup> + n2<\/sup>; n2<\/sup> + l2<\/sup>; 2lm + 2mn + 2nl
\n\"NCERT
\n= 2(l2<\/sup> + m2<\/sup> + n2<\/sup> + lm + mn + nl)<\/p>\n

Question 4.
\n(a) Subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 5b – 3
\n(b) Subtract 3xy + 5yz – 7zx from 5xy – 2yz – 2zx + 10xyz
\n(c) Subtract 4p2<\/sup>q – 3pq + 5pq2<\/sup> – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq2<\/sup> + 5p2<\/sup>q
\nSolution:
\n\"NCERT<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Exercise 9.1 Question 1. Identify the terms, their coefficients for each of the following expressions. (i) 5xyz2 …<\/p>\n

NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1<\/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":[7],"tags":[],"yoast_head":"\nNCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1 - MCQ Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-8-maths-chapter-9-ex-9-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1 - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Ex 9.1 Questions and Answers are prepared by our highly skilled subject experts. 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