# ML Aggarwal CBSE Solutions Class 7 Math Fifth Chapter Algebraic Expressions Exercise 5.1

### ML Aggarwal CBSE Solutions Class 7 Math 5th Chapter Algebraic Expressions Exercise 5.1

(1) Form 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 an y both squared and added.

(iv) Numbers 7 is added to 3 times the product of p and q.

(v) Three times of x is subtracted from the product of x with itself.

(vi) Sum of the numbers m and n is subtracted from their product.

(2) A taxi charges Rs. 9 per km and a fixed charges of Rs. 50. If the taxi is hired for x km, write an algebraic expression for this situation.

(3) Write down the algebraic expression whose terms are:

(i) 5a, -3b, c

(ii) x2, -5x, 6

(iii) x2y, xy, -xy2

Solution Number 1, 2 & 3: (4) Write all the terms of each of the following algebraic expressions:

(i) 3 – 7x

(ii) 2 – 5a + 3/2b

(iii) 3x5 + 4y3 – 7xy2 + 3

(5) Identify the terms and their factors in the algebraic expressions given below:

(i) -4x + 5y

(ii) xy + 2x2y2

(iii) 1.2ab – 2.4b + 3.6a

(6) Show the terms and their factors by tree diagrams of the following algebraic expressions:

(i) 8x + 3y2

(ii) y – y3

(iii) 5x2y + 7x2y

(iv) –ab + 2b2 – 3a2

(7) Write down the numerical coefficient of each of the following:

(i) -7x

(ii) -2x3y2

(iii) 6abcd2

(iv) 2/3 pq2

(8) Write down the coefficient of x in the following:

(i) -4bx

(ii) 5xyz

(iii) -x

(iv)-3x2y

Solution Number 4, 5, 6 & 7:  (9) In -7xy2z3 write down the coefficient of

(i) 7x

(ii) –xy2

(iii) xyz

(iv) 7yz2

(10) identify the terms which (other than constants) and write their numerical coefficiencts in each of the following algebraic expressions:

(i) 3 – 7x

(ii) 1 + 2x – 3x2

(iii) 1.2a + 0.8b

(11) Identify the terms which contain x  an write the coefficient of x in each of the following expressions:

(i) 13y2 – 8xy

(ii) 7x – xy2

(iii) 5 – 7xyz + 4x2y

(12) Identify the term which contain y2 and write the coefficient of y2 in each of the following terms

(i) 8 – xy2

(ii) 5y2 + 7x – 3xy2

(iii) 2x2y – 15xy2 + 7y2

Solution Number 9, 10, 11 & 12: (13) Classify into monomials, binomials an trinomials:

(i) 4y – 7z

(ii) -5xy2

(iii) x + y – xz

(iv) ab2– 5b – 3a

(v) 4p2q – 5pq2

(vi) 2017

(vii) 1 + x + x2

(viii) 5x2 – 7 + 3x + 4

(14) State whether the given pair of terms is of like or unlike terms:

(i) -7x, 5/2 x

(ii) -29x, -29y

(iii) 2xy, 2xyz

(iv) 4m2p, 4mp2

(v) 12xz, 12x2z2

(vi) -5pq, 7qp

(15) Identify like terms in the following:

(i) x2y, 3xy2, 2x2y, 4x2y2

(ii) 3a2b, 2abc, -6a2b, 4abc

(iii) 10pq, 7p, 8q, -p2q2 ,  -7qp, 100q, -23, 12q2p2, -5p2, 41, 2405p, 78qp, 13p2q, qp2, 701p2

Solution Number 13, 14, 15: (16) Write down the degree of the following polynomials in x:

(i) x2 – 6x7 + x8

(ii) (ii) 3 – 2x

(iii) -2

(iv) 1 –x2

(17) Write the degree of the following polynomials:

(i) 3x2 – 5xy2 + 7

(ii) xy2 – y3 + 3y4 – 2

(iii) 7 – 2x3 – 5xy3 + 9y5

(18) State true or false:

(i) If 5 is constant and y is variable, then 5y and 5 + y are variables

(ii) 7x has two terms, 7 and x

(iii) 5 + xy is a trinomial

(iv) 7a x bc is a binomial

(v) 7x3 + 2x2 + 3x – 5 is a polynomial

(vi) coefficient of x in -3xy is -3

Solution Number 16, 17 & 18: Updated: January 6, 2020 — 12:15 pm

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