**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) x^{2}, -5x, 6

(iii) x^{2}y, xy, -xy^{2}

**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) 3x^{5} + 4y^{3} – 7xy^{2} + 3

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

(i) -4x + 5y

(ii) xy + 2x^{2}y^{2}

(iii) 1.2ab – 2.4b + 3.6a

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

(i) 8x + 3y^{2}

(ii) y – y^{3}

(iii) 5x^{2}y + 7x^{2}y

(iv) –ab + 2b^{2} – 3a^{2}

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

(i) -7x

(ii) -2x^{3}y^{2}

(iii) 6abcd^{2}

(iv) 2/3 pq^{2}

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

(i) -4bx

(ii) 5xyz

(iii) -x

(iv)-3x^{2}y

**Solution Number 4, 5, 6 & 7:**

**(9) In -7xy ^{2}z^{3} write down the coefficient of **

(i) 7x

(ii) –xy^{2}

(iii) xyz

(iv) 7yz^{2}

** (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 – 3x^{2}

(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) 13y^{2} – 8xy

(ii) 7x – xy^{2}

(iii) 5 – 7xyz + 4x^{2}y

**(12) Identify the term which contain y ^{2} and write the coefficient of y^{2} in each of the following terms**

(i) 8 – xy^{2}

(ii) 5y^{2} + 7x – 3xy^{2}

(iii) 2x^{2}y – 15xy^{2} + 7y^{2}

**Solution Number 9, 10, 11 & 12:**

**(13) Classify into monomials, binomials an trinomials:**

(i) 4y – 7z

(ii) -5xy^{2}

(iii) x + y – xz

(iv) ab^{2}– 5b – 3a

(v) 4p^{2}q – 5pq^{2}

(vi) 2017

(vii) 1 + x + x^{2}

(viii) 5x^{2} – 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) 4m^{2}p, 4mp^{2}

(v) 12xz, 12x^{2}z^{2}

(vi) -5pq, 7qp

**(15) Identify like terms in the following:**

(i) x^{2}y, 3xy^{2}, 2x^{2}y, 4x^{2}y^{2}

(ii) 3a^{2}b, 2abc, -6a^{2}b, 4abc

(iii) 10pq, 7p, 8q, -p^{2}q^{2 , }-7qp, 100q, -23, 12q^{2}p^{2}, -5p^{2}, 41, 2405p, 78qp, 13p^{2}q, qp^{2}, 701p^{2}

**Solution Number 13, 14, 15:**

**(16) Write down the degree of the following polynomials in x:**

(i) x^{2} – 6x^{7} + x^{8}

(ii) (ii) 3 – 2x

(iii) -2

(iv) 1 –x^{2}

**(17) Write the degree of the following polynomials:**

(i) 3x^{2} – 5xy^{2} + 7

(ii) xy^{2} – y^{3} + 3y^{4} – 2

(iii) 7 – 2x^{3} – 5xy^{3} + 9y^{5}

**(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) 7x^{3} + 2x^{2} + 3x – 5 is a polynomial

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

**Solution Number 16, 17 & 18:**

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