SChand Composite Mathematics Class 7 Chapter 6 Algebraic Expression Exercise 6A

Exercise 6A

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Q1 | Ex-6A | Class 7 | Algebraic Expression | S.Chand |Composite Mathematics |Chapter 6 |myhelper

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Question 1

Identify Monomials , Binomials and Trinomials from the following express: 

(i) 2m+3n

Ans: Binomials 

(ii) a- 5b+7c

Ans: Trinomial

(iii) $\frac{2}{7} a^{2}$

Ans: Monomials 

(iv) $5 m^{2}-4$ 

Ans: Binomials 

(v) $7 a^{2}+2 b^{2}-4 a b$

Ans:  Trinomial

(vi)  $\frac{1}{2} x^{3}-y+2$

Ans: Trinomial , Polynomials 

 

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Q2 | Ex-6A | Class 7 | Algebraic Expression | S.Chand |Composite Mathematics |Chapter 6 |myhelper

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  Question 2

Write the coefficient of x in the following: 

(i) 2x

Ans: 2

(ii) mx

Ans: m

(iii) -2px 

Ans: -2p 

(iv) $3 x y^{2}$

Ans: $3 y^{2}$

(v)  $-\frac{1}{3} x p$ 

Ans: $-\frac{1}{3} p$

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Q3 | Ex-6A | Class 7 | Algebraic Expression | S.Chand |Composite Mathematics |Chapter 6 |myhelper

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  Question 3

Write the coefficient of : 

(i) $x$ in $-6 x y^{2}$ 

Ans: $-6 y^{2}$ 

(ii) $q$ in $q x^{2}$

Ans: $x^{2}$

(iii) a in $\frac{2}{3} a$

Ans: $\frac{2}{3}$

(iv) $x^{2} y$ in $\frac{-4}{9} a$ $x^{2} y$

Ans: $-\frac{4}{9} a$

(v) xy in - 4xyz 

Ans: - 4z 

(vi) z in -z

Ans: -1

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Q4 | Ex-6A | Class 7 | Algebraic Expression | S.Chand |Composite Mathematics |Chapter 6 |myhelper

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  Question 4

Identify the like terms in each of the following : 

(i)  $a^{2}, b^{2},2 a^{2}, c^{2}$

Ans: Like terms  $a^{2}$ , $2 a^{2}$

(ii) $3 x y, yz, 5 x, \frac{2}{7} y z$

Ans: Like terms  yz ,  $\frac{2}{7} y z$

(iii) $8 m^{2} n, m^{2} p,-m^{2} n, m^{2} n^{2}$

Ans: Like terms $8 m^{2} n$ ,  $-m^{2} n$

(iv)  $c a b^{2}, a^{2} b c, b^{2} a c, c^{2} a b, a b c, a c b^{2}$

Ans: like terms  $c a b^{2}$ , $b^{2} a c$  , $a c b^{2}$

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Q5 | Ex-6A | Class 7 | Algebraic Expression | S.Chand |Composite Mathematics |Chapter 6 |myhelper

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  Question 5

identify polynomial from the given algebraic equation 

(i)  $\frac{4}{9} y^{2}-\frac{4}{9} x^{2}+4$ 

(ii)  $\frac{2}{x}+\frac{3}{x^{2}}-4 x^{2}+3 x+2$

(iii) $3 a^{3}+4 a^{2} b+8 b^{3}$ 

(iv) $x^{2}-\frac{1}{x^{2}}+2$

Ans: Only  I and III are polynomials 

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Q6 | Ex-6A | Class 7 | Algebraic Expression | S.Chand |Composite Mathematics |Chapter 6 |myhelper

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  Question 6

Write down the degree of the following polynomials: 

(i)  $4 x^{2}-x^{4}$

Ans: degree of polynomials = 4

(ii) $4 p^{2}+6 p^{3}+8 p^{8}$

Ans: degree of polynomials = 8

(iii) $m^{2} n^{3}+m n^{2}+4$ 

Ans: degree of polynomials = 5

( iv)  $p^{2} q^{4}+p q^{2}+1$

Ans: degree of polynomials  =6

(v) 4

$x^0$= 1 

4×1 = $4 \times x^0$ 

Degree of polynomials =0