{"id":42587,"date":"2022-05-25T21:00:35","date_gmt":"2022-05-25T15:30:35","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=42587"},"modified":"2023-11-10T09:50:33","modified_gmt":"2023-11-10T04:20:33","slug":"ml-aggarwal-class-7-solutions-for-icse-maths-chapter-8-ex-8-1","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/ml-aggarwal-class-7-solutions-for-icse-maths-chapter-8-ex-8-1\/","title":{"rendered":"ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.1"},"content":{"rendered":"

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.1<\/h2>\n

Question 1.
\nFrom the algebraic expressions using variables, constants, and arithmetic operations:
\n(i) 6 more than thrice a number x.
\n(ii) 5 times x is subtracted from 13.
\n(iii) The numbers x and y both squared and added.
\n(iv) Number 7 is added to 3 times the product of p and q.
\n(v) Three times of x is subtracted from the product of x with itself.
\n(vi) Sum of the numbers m and n is subtracted from their product.
\nSolution:
\n(i) 6 more than thrice a number x = 3x + 6
\n(ii) 5 times x is subtracted from 13 = 13 – 5x
\n(iii) The numbers x and y both squared and added = x2<\/sup> + y2<\/sup>
\n(iv) Number 7 is added to 3 times the product of p and q = 3pq + 1
\n(v) Three times of x is subtracted from the product of x with itself = x2<\/sup> – 3x
\n(vi) Sum of the numbers m and n is subtracted from their product = mn – (m + n)<\/p>\n

Question 2.
\nA taxi charges \u20b9 9 per km and a fixed charge of \u20b9 50. If the taxi is hired for x km, write an algebraic expression for this situtation.
\nSolution:
\nCharges of a taxi = \u20b9 9 per km
\nFixed charges = \u20b9 50
\nand taxi is hired for x km = (9x + 50) rupees<\/p>\n

Question 3.
\nWrite down the algebraic expression whose terms are:
\n(i) 5a, -3b, c
\n(ii) x2<\/sup>, -5x, 6
\n(iii) x2<\/sup>y, xy, -xy2<\/sup>
\nSolution:
\n(i) 5a – 3b + c
\n(ii) x2<\/sup> – 5x + 6
\n(iii) x2<\/sup>y + xy – xy2<\/sup><\/p>\n

Question 4.
\nWrite all the terms of each of the following algebraic expressions:
\n(i) 3 – 7x
\n(ii) 2 – 5a + \\(\\frac { 1 }{ 2 }\\) b
\n(iii) 3x5<\/sup> + 4y3<\/sup> – 7xy2<\/sup> + 3
\nSolution:
\n(i) 3 – 7x = 3, -7x
\n(ii) 2 – 5a + \\(\\frac { 3 }{ 2 }\\) b = 2, -5a, \\(\\frac { 3 }{ 2 }\\) b
\n(iii) 3x5<\/sup> + 4y3<\/sup> – 7xy2<\/sup> + 3 = 3x5<\/sup>, 4y3<\/sup>, -7xy2<\/sup>, 3<\/p>\n

Question 5.
\nIdentify the terms and their factors in the algebraic expressions given below:
\n(i) -4x + 5y
\n(ii) xy + 2x2<\/sup>y2<\/sup>
\n(iii) 1.2ab – 2.4b + 3.6a
\nSolution:
\n(i) -4x + 5y
\n-4x = -4, x
\n5y = 5, y
\n(ii) xy + 2x2<\/sup>y2<\/sup>
\nxy = x, y
\n2x2<\/sup>y2<\/sup> = 2, x, x, y, y
\n(iii) 1.2ab – 2.4b + 3.6a
\n1.2ab = 1.2, a, b
\n-2.4b = -2.4, b
\n3.6a = 3.6, a<\/p>\n

Question 6.
\nShow the terms and their factors by tree diagrams of the following algebraic expressions:
\n(i) 8x + 3y2<\/sup>
\n(ii) y – y3<\/sup>
\n(iii) 5xy2<\/sup> + 7x2<\/sup>y
\n(iv) -ab + 2b2<\/sup> – 3a2<\/sup>
\nSolution:
\n(i) 8x + 3y2<\/sup>
\n\"ML
\n\"ML<\/p>\n

Question 7.
\nWrite down the numerical coefficient of each of the following:
\n(i) -7x
\n(ii) -2x3<\/sup>y2<\/sup>
\n(iii) 6abcd2<\/sup>
\n(iv) \\(\\frac { 2 }{ 3 }\\) pq2<\/sup>
\nSolution:
\nNumerical co-efficient
\n(i) -7x – numerical co-efficient is -7
\n(ii) -2x3<\/sup>y2<\/sup> – numerical co-efficient is -2
\n(iii) 6abcd2<\/sup> – numerical co-efficient is 6
\n(iv) \\(\\frac { 2 }{ 3 }\\) pq2<\/sup> – numerical co-efficient is \\(\\frac { 2 }{ 3 }\\)<\/p>\n

Question 8.
\nWrite down the coefficient of x in the following:
\n(i) -4bx
\n(ii) 5xyz
\n(iii) -x
\n(iv) -3x2<\/sup>y
\nSolution:
\ncoefficient of x
\n(i) -4bx – -4b
\n(ii) 5xyz – 5yz
\n(iii) -x – -1
\n(iv) -3x2<\/sup>y – -3xy<\/p>\n

Question 9.
\nIn -7xy2<\/sup>z3<\/sup>, write down the coefficient of:
\n(i) 7x
\n(ii) -xy2<\/sup>
\n(iii) xyz
\n(iv) 7yz2<\/sup>
\nSolution:
\nIn -7xy2<\/sup>z3<\/sup>
\n(i) Co-efficient of 7x = -y2<\/sup>z3<\/sup>
\n(ii) Co-efficient of -xy2<\/sup> = 7z3<\/sup>
\n(iii) Co-efficient of xyz = -7yz2<\/sup>
\n(iv) Co-efficient of 7yz2<\/sup> = -xyz<\/p>\n

Question 10.
\nIdentify the terms (other than constants) and write their numerical coefficients in each of the following algebraic expressions:
\n(i) 3 – 7x
\n(ii) 1 + 2x – 3x2<\/sup>
\n(iii) 1.2a + 0.8b
\nSolution:
\n\"ML<\/p>\n

Question 11.
\nIdentify the terms which contain x and write the coefficient of x in each of the following expressions:
\n(i) 13y2<\/sup> – 8xy
\n(ii) 7x – xy2<\/sup>
\n(iii) 5 – 7xyz + 4x2<\/sup>y
\nSolution:
\n\"ML<\/p>\n

Question 12.
\nIdentify the term which contain y2 and write the coefficient of y2 in each of the following expressions:
\n(i) 8 – xy2<\/sup>
\n(ii) 5y2<\/sup> + 7x – 3xy2<\/sup>
\n(iii) 2x2<\/sup>y – 15xy2<\/sup> + 7y2<\/sup>
\nSolution:
\n\"ML<\/p>\n

Question 13.
\nClassify into monomials, binomials and trinomials:
\n(i) 4y – 7z
\n(ii) -5xy2<\/sup>
\n(iii) x + y – xy
\n(iv) ab2<\/sup> – 5b -3a
\n(v) 4p2<\/sup>q – 5pq2<\/sup>
\n(vi) 2017
\n(vii) 1 + x + x2<\/sup>
\n(viii) 5x2<\/sup> – 7 + 3x + 4
\nSolution:
\n\"ML<\/p>\n

Question 14.
\nState whether the given pair of terms is of like or unlike terms:
\n(i) -7x, \\(\\frac { 5 }{ 2 }\\) x
\n(ii) -29x, -29y
\n(iii) 2xy, 2xyz
\n(iv) 4m2<\/sup>p, 4mp2<\/sup>
\n(v) 12xz, 12x2<\/sup>z2<\/sup>
\n(vi) -5pq, 7qp
\nSolution:
\n(i) -7x, \\(\\frac { 5 }{ 2 }\\) x – Like
\n(ii) -29x, -29y – Unlike
\n(iii) 2xy, 2xyz – Unlike
\n(iv) 4m2<\/sup>p, 4mp2<\/sup> – Unlike
\n(v) 12xz, 12x2<\/sup>z2<\/sup> – Unlike
\n(vi) -5pq, 7qp – Like<\/p>\n

Question 15.
\nIdentify like terms in the following:
\n(i) x2<\/sup>y, 3xy2<\/sup>, -2x2<\/sup>y, 4x2<\/sup>y2<\/sup>
\n(ii) 3a2<\/sup>b, 2abc, -6a2<\/sup>b, 4abc
\n(iii) 10pq, 7p, 8q – p2<\/sup>q2<\/sup>, -7qp, -100q, -23, 12q2<\/sup>p2<\/sup>, -5p2<\/sup>, 41, 2405p, 78qp, 13p2<\/sup>q, qp2<\/sup>, 701p2<\/sup>
\nSolution:
\n(i) x2<\/sup>y and -2x2<\/sup>y are like terms.
\n(ii) 3a2<\/sup>b, -6a2<\/sup>b and 2abc, 4abc are pairs of like terms.
\n(iii) 10pq, -7qp, 78qp and 7p, 2405p and 8q, -100q,
\nand -p2<\/sup>q2<\/sup>, 12q2<\/sup>p2\u00a0<\/sup>and -23, 41 and -5p2<\/sup>, 701p2<\/sup>
\nand 13p2<\/sup>q, qp2<\/sup> are groups of like terms.<\/p>\n

Question 16.
\nWrite down the degree of following polynomials in x:
\n(i) x2<\/sup> – 6x7<\/sup> + x8<\/sup>
\n(ii) 3 – 2x
\n(iii) -2
\n(iv) 1 – x2<\/sup>
\nSolution:
\n(i) x2<\/sup> – 6x7<\/sup> + x8<\/sup>\u00a0; degree is 8
\n(ii) 3 – 2x; degree is 1
\n(iii) -2 ; degree is 0
\n(iv) 1 – x2<\/sup> ; degree is 2<\/p>\n

Question 17.
\nWrite the degree of the following polynomials:
\n(i) 3x2<\/sup> – 5xy2<\/sup> + 7
\n(ii) xy2<\/sup> – y3<\/sup> + 3y4<\/sup> – 2
\n(iii) 7 – 2x3<\/sup> – 5xy3<\/sup> + 9y5<\/sup>
\nSolution:
\n(i) 3x2<\/sup> – 5xy2<\/sup> + 1 ; degree is 1 + 2 = 3
\n(ii) xy2<\/sup> – y3<\/sup> + 3y4<\/sup>\u00a0– 2 ; degree is 4
\n(iii) 7 – 2x3<\/sup> – 5xy3<\/sup> + 9y5<\/sup> ; degree is 5<\/p>\n

Question 18.
\nState true or false:
\n(i) If 5 is constant andy is variable, then 5y and 5 + y are variables
\n(ii) 7x has two terms, 7 and x
\n(iii) 5 + xy is a trinomial
\n(iv) 7a \u00d7 bc is a binomial
\n(v) 7x3<\/sup> + 2x2<\/sup> + 3x – 5 is a polynomial
\n(vi) 2x2<\/sup> – \\(\\frac { 3 }{ x }\\) is a polynomial
\n(vii) Coefficient of x in -3xy is -3
\nSolution:
\n(i) True.
\n(ii) False. Correct: 7x has one term.
\n(iii) False. Correct: It is bionomial.
\n(iv) False. Correct: It is 7abc monomial.
\n(v) True.
\n(vi) False. Correct: It is bionomial.
\n(vii) False. Correct: It is -3y.<\/p>\n

ML Aggarwal Class 7 Solutions for ICSE Maths<\/a><\/h4>\n","protected":false},"excerpt":{"rendered":"

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.1 Question 1. From the algebraic expressions using variables, constants, and arithmetic operations: (i) 6 more than thrice a number x. (ii) 5 times x is subtracted from 13. (iii) The numbers x and y both squared and added. (iv) Number 7 … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[3034],"tags":[],"yoast_head":"\nML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.1 - CBSE Library<\/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:\/\/cbselibrary.com\/ml-aggarwal-class-7-solutions-for-icse-maths-chapter-8-ex-8-1\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.1\" \/>\n<meta property=\"og:description\" content=\"ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 8 Algebraic Expressions Ex 8.1 Question 1. 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From the algebraic expressions using variables, constants, and arithmetic operations: (i) 6 more than thrice a number x. (ii) 5 times x is subtracted from 13. (iii) The numbers x and y both squared and added. (iv) Number 7 ... 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