NCERT - Mathematics

Book: NCERT - Mathematics

Chapter: 9. Algebraic Expressions and Identities

Subject: Maths - Class 8th

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Chapter Exercises

Exercises 9.1
Exercises 9.2
Exercises 9.3
Exercises 9.4
Exercises 9.5

Exercises 9.1

1

Identify the terms, their coefficients for each of the following expressions.

(i)


(ii)


(iii)


(iv)


(v)


(vi)

2

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?
3

Add the following.

(i)


(ii)


(iii)


(iv)

4

Subtract from

4

Subtract from

4

Subtractfrom

Exercises 9.2

1

Find the product of the following pairs of monomials.

(i)


(ii)


(iii)


(iv)


(v)

2

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively.
3

Complete the table of products.
4

Obtain the volume of rectangular boxes with the following length, breadth and height respectively.

(i)


(ii)


(iii)


(iv)

5

Obtain the product of

(i)


(ii)


(iii)


(iv)


(v)

Exercises 9.3

1

Carry out the multiplication of the expressions in each of the following pairs.

(i)


(ii)


(iii)


(iv)


(v)

2

Complete the table.
3

Find the product.

(i)


(ii)


(iii)


(iv)

4

Simplify and find its values for

(i)


(ii)

4

Simplify and find its value for

(i)


(ii)


(iii)

5

Add: and

5

Add: and

5

Subtract: from

5

Subtract: from

Exercises 9.4

1

Multiply the binomials.

(i) and


(ii) and


(iii) and


(iv) and


(v) and


(vi) and

2

Find the product.

(i)


(ii)


(iii)


(iv)

3

Simplify.

(i)


(ii)


(iii)


(iv)


(v)


(vi)


(vii)


(viii)

Exercises 9.5

1

Use a suitable identity to get each of the following products.

(i)


(ii)


(iii)


(iv)


(v)


(vi)


(vii)


(viii)


(ix)


(x)

2

Use the identity to find the following products.

(i)


(ii)


(iii)


(iv)


(v)


(vi)


(vii)
1

Find the following squares by using the identities.

(i)


(ii)


(iii)


(iv)


(v)


(vi)
4

Simplify.

(i)


(ii)


(iii)


(iv)


(v)


(vi)


(vii)(m2 - n2m) 2 + 2m3n2


(viii)
5

Show that.

(i)


(ii)


(iii)


(iv)


(v)

6

Using identities, evaluate.

(i)


(ii)


(iii)


(iv)


(v)


(vi)


(vii)


(viii)


(ix)

7

Using find

(i)


(ii)


(iii)


(iv)

8

Using find

(i) 1


(ii)


(iii)


(iv)

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