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Worksheets

Algebraic Expressions Class- VII

Total questions: 10

Worksheet time: 28mins

Name
Class
Date
1.

Add the following:

7abc, −5abc, 9abc, −8abc

a)

-3abc

b)

1abc

c)

3abc

d)

29abc

2.

Add the following expressions:

8a−6ab+5b, −6a−ab−8b and −4a+2ab+3b

a)

5ab

b)

2a + 5ab

c)

- 2a - 5ab

d)

3b + 6ab

3.

Subtract −4x from 3y

a)

3y + 4x

b)

3y-4x

c)

-4x-3y

d)

7xy

4.

Subtract the sum of 13x − 4y + 7z and −6z + 6x + 3y from the sum of 6x − 4y − 4z and 2x + 4y − 7.

a)

11x - y - 5z - 7

b)

- 11x + y + 5z + 7

c)

- 11x + y - 5z - 7

5.

Simplify the following algebraic expressions:

5a − (3b − 2a + 4c)

a)

7a - 3b + 4c

b)

7a - 3b - 4c

c)

7a + 3b + 4c

6.

 (4ab)×(3a2bc)\left(-4ab\right)\times\left(-3a^2bc\right)  

a)

 12abc2-12abc^2  

b)

 12a3b2c12a^3b^2c  

c)

 7a3b2c-7a^3b^2c  

7.

 (75x2y)×(32xy2)×(65x3y3)\left(\frac{7}{5}x^2y\right)\times\left(\frac{3}{2}xy^2\right)\times\left(-\frac{6}{5}x^3y^3\right)  

a)

 2125x6y2\frac{21}{25}x^6y^2  

b)

 6325x6y6-\frac{63}{25}x^6y^6  

c)

 12625x3y3\frac{126}{25}x^3y^3  

8.

(7x + 2y)(x + 4y)

a)

7x2+28xy+8y27x^2+28xy+8y^2

b)

7x2+30xy+8y27x^2+30xy+8y^2

c)

7x2+30xy+8y7x^2+30xy+8y

9.

(3m − 4n)(2m − 3n)

a)

6m2+17mn+12n6m^2+17mn+12n

b)

6m217mn+12n26m^2-17mn+12n^2

c)

6m214mn 12n26m^2-14mn\ -\ 12n^2

10.

 (x2a2)(xa)\left(x^2-a^2\right)\left(x-a\right)  

a)

 x3+a2x+ax2+a3x^3+a^2x+ax^2+a^3  

b)

 x3a2xax2a3x^3-a^2x-ax^2-a^3  

c)

 x3a2xax2+a3x^3-a^2x-ax^2+a^3