{"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":"
Question 1. Question 2. Question 3. Question 4. Question 5. Question 6. Question 7. Question 8. Question 9. Question 10. Question 11. Question 12. Question 13. Question 14. Question 15. Question 16. Question 17. Question 18. 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":"\n
\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
\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
\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
\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
\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
\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
\n<\/p>\n
\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
\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
\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
\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<\/p>\n
\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<\/p>\n
\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<\/p>\n
\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<\/p>\n
\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
\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
\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
\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
\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>\nML Aggarwal Class 7 Solutions for ICSE Maths<\/a><\/h4>\n","protected":false},"excerpt":{"rendered":"