Home | | Maths 7th Std | Exercise 3.3

# Exercise 3.3

7th Maths : Term 2 Unit 3 : Algebra : Exercise 3.3 : Text Book Back Exercises Questions with Answers, Solution

Exercise 3.3

1. Fill in the blanks.

(i) The degree of the term a 3b2c 4 d2 is 11.

(ii) Degree of the constant term is 0.

(iii) The coefficient of leading term of the expression 3z 2 y + 2x 3 is 3.

2. Say True or False.

(i) The degree of m2n and mn2 are equal. True

(ii) 7a 2b and 7ab2 are like terms. False

(iii) The degree of the expression 4x 2 yz is 4 . False

(iv) Any integer can be the degree of the expression. True

3. Find the degree of the following terms.

(i) 5x2 : degree 2

(ii) 7ab : degree 2

(iii) 12 pq2 r2 : degree 5

(iv) 125 : degree 0

(v) 3z : degree 1

4. Find the degree of the following expressions.

(i) x3 1 degree 3

(ii) 3x2+ 2x+1 degree 2

(iii) 3t 4 5st 2 + 7s3t 2 degree 5

(iv) 5 9 y + 15y2 6 y3 degree 3

(v) u 5 + u4v + u3v 2 + u2 v 3 + uv4 degree 5

5. Identify the like terms : 12x 3 y2z , y3 x 2z, 4z 3 y2 x , 6x3 z 2 y, 5y 3 x2z

Like terms are y3x2z, –5y3x2z

6. Add and find the degree of the following expressions.

(i) (9x + 3y) and (10x − 9 y)

9x+ 10x + 3y – 9y

19x – 6y

Degree of the expression is 1.

(ii) (k3− 25k + 46) and + (232k2 + 21k )

k2 –2k2 –25k + 21k +46 + 23

–k2 – 4k + 69

Degree of the expression is 2.

(iii) ( 3m2n + 4 pq2 ) and (5nm2 2q 2 p)

3m2n + 5nm2 + 4pq2 –2q2p

8m2n + 2pq2

Degree ofthe expression is 3.

7. Simplify and find the degree of the following expressions.

(i) 10x 2 3xy + 9 y2 ( 3x 2 6xy 3y2 )

10x2 – 3xy + 9y2 – 3x2 + 6xy + 3y2

10x2 –3x2 –3xy + 6xy + 9y2 + 3y2

7x2 + 3xy + 12y2

Degree ofthe expression is 2.

(ii) 9a 4 6a3 6a 4 3a2 + 7a 3 + 5a2

9a4 – 6a4 – 6a3 + 7a3 – 3a2 + 5a2

3a4 + a3 + 2a2

Degree ofthe expression is 4.

(iii) 4x 2 3x [8x ( 5x2 8)]

4x2 –3x–[8x– 5x2+8]

4x2 –3x –8x + 5x2 –8

4x2 + 5x2 –3x –8x –8

9x2 –11x – 8

Degree ofthe expression is 2.

Objective type questions

8. 3p 2 5pq + 2q2 + 6 pq q 2 + pq is a

(i) Monomial

(ii) Binomial

(iii) Trinomial

9. The degree of 6x7 7x3 + 4 is

(i) 7

(ii) 3

(iii) 6

(iv) 4

10. If p(x) and q (x) are two expressions of degree 3, then the degree of p(x) + q (x) is

(i) 6

(ii) 0

(iii) 3

(iv) Undefined

Exercise 3.3

1. (i) 11 (ii) 0 (iii) 3

2. (i) true (ii) false (iii) false (iv) true

3. (i) 2 (ii) 2 (iii) 5 (iv) 0 (v) 1

4. (i) 3 (ii) 2 (iii) 5 (iv) 3 (v) 5

5. − y3 x2z and −5y3 x2z

6. (i) 19x − 6y ; 1 (ii) − k2 − 4k + 69 ; 2 (iii) 8m2n + 2 pq2 ; 3

7. (i) 7x2 + 3xy + 12 y2 ; 2 (ii) 3a4 + a3 + 2a2 ; 4 (iii) 9x2 − 11x − 8 ; 2

Objective type questions

8. (iii) trinomial

9. (i) 7

10. (iii) 3

Tags : Questions with Answers, Solution | Algebra | Term 2 Chapter 3 | 7th Maths , 7th Maths : Term 2 Unit 3 : Algebra
Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail
7th Maths : Term 2 Unit 3 : Algebra : Exercise 3.3 | Questions with Answers, Solution | Algebra | Term 2 Chapter 3 | 7th Maths