Selina solutions for Mathematics [English] Class 6 chapter 19 - Fundamental Operations (Related to Algebraic Expressions) [Latest edition]

Fill in the blanks:

5 + 4 = ………… and 5x + 4x = ………….

Fill in the blanks:

12 + 18 = ………… and 12x²y + 18x²y = …………

Fill in the blanks:

7 + 16 = ………….. and 7a + 16b = …………

Fill in the blanks:

1 + 3 = ………… and x²y + 3xy² = ………..

Fill in the blanks:

7 – 4 = …………… and 7ab – 4ab = …………..

Fill in the blanks:

12 – 5 = ………… and 12x – 5y = ……………

Fill in the blanks:

35 – 16 = ………….. and 35ab – 16ba = ………….

Fill in the blanks:

28 – 13 = …………. and 28ax² – 13a²x = ………….

Fill in the blanks:

The sum of – 2 and – 5 = …………. and the sum of – 2x and – 5x = …………….

Fill in the blanks:

The sum of 8 and – 3 = ………….. and the sum of 8ab and – 3ab = ………….

Fill in the blanks:

The sum of – 15 and – 4 = …………….. and the sum of – 15x and − 4y = ………………

Fill in the blanks:

15 + 8 + 3 = ……….. and 15x + 8y + 3x = …………….

Fill in the blanks:

12 – 9 + 15 = …………… and 12ab – 9ab + 15ba = ……………..

Fill in the blanks:

25 – 7 – 9 = ............... and 25xy – 7xy – 9yx = ……………

Fill in the blanks:

– 4 – 6 – 5 = …………. and – 4ax – 6ax – 5ay = …………….

Add:

8xy and 3xy

Add:

2xyz, xyz and 6xyz

Add:

2a, 3a and 4b

Add:

3x and 2y

Add:

5m, 3n and 4p

Add:

6a, 3a and 9ab

Add:

3p, 4q and 9q

Add:

5ab, 4ba and 6b

Add:

50pq, 30pq and 10pr

Add:

– 2y, – y and – 3y

Add:

– 3b and – b

Add:

5b, – 4b and – 10b

Add:

– 2c, – c and – 5c

Evaluate:

6a − a − 5a − 2a

Evaluate:

2b − 3b − b + 4b

Evaluate:

3x − 2x − 4x + 7x

Evaluate:

5ab + 2ab − 6ab + ab

Evaluate:

8x − 5y − 3x + 10y

Evaluate:

− 7x + 9x + 2x − 2x

Evaluate:

5ab − 2ab − 8ab + 6ab

Evaluate:

− 8a − 3a + 12a + 13a − 6a

Evaluate:

19abc − 11abc − 12abc + 14abc

Subtract the first term from the second:

4ab, 6ba

Subtract the first term from the second:

4.8b, 6.8b

Subtract the first term from the second:

3.5abc, 10.5abc

Subtract the first term from the second:

`3 1/2"mn",8 1/2"nm"`

Simplify:

2a²b² + 5ab² + 8a²b² − 3ab²

Simplify:

4a + 3b − 2a − b

Simplify:

2xy + 4yz + 5xy + 3yz − 6xy

Simplify:

ab + 15ab − 11ab − 2ab

Simplify:

6a² − 3b² + 2a² + 5b² − 4a²

Simplify:

8abc + 2ab − 4abc + ab

Simplify:

9xyz + 15yxz − 10zyx − 2zxy

Simplify:

13pqr + 2p + 4q − 6pqr + 5pqr

Simplify:

4ab + 0 − 2ba

Simplify:

6x²y − 2xy² + 5x²y − xy²

Simplify:

6.4a + 5.3b − 2.4a − 2.2b

Simplify:

2.5a + 4.6b + 1.2a − 3.6b

Simplify:

`22"m"-12 1/2"n"-15"p"+16"n"`

Simplify:

`6"p"+2/3"q"-1 1/2"p"+1/3"q"+2"q"`

Simplify:

`2 2/3"xy"-3 1/2"xy"+3 1/3"xy"-2 1/2"xy"`

Find the sum of 3a + 4b + 7c, − 5a + 3b − 6c and 4a − 2b − 4c.

Find the sum of 2x² + xy − y², − x² + 2xy + 3y² and 3x² − 10xy + 4y².

Find the sum of x² − x + 1, − 5x² + 2x − 2 and 3x² − 3x + 1

Find the sum of a² − ab + bc, 2ab + bc − 2a² and − 3bc + 3a² + ab.

Find the sum of 4x² + 7 − 3x, 4x − x² + 8 and − 10 + 5x − 2x².

Find the sum of 3x + 4xy − y², xy − 4x + 2y² and 3y² − xy + 6x.

Add the following expression:

− 17x² − 2xy + 23y², − 9y² + 15x² + 7xy and 13x² + 3y² − 4xy

Add the following expression:

− x² − 3xy + 3y² + 8, 3x² − 5y² − 3 + 4xy and − 6xy + 2x² − 2 + y²

Add the following expression:

a³ − 2b³ + a, b³ − 2a³ + b and − 2b + 2b³ − 5a + 4a³

Evaluate:

3a − (a + 2b)

Evaluate:

(5x − 3y) − (x + y)

Evaluate:

(8a + 15b) − (3b − 7a)

Evaluate:

(8x + 7y) − (4y − 3x)

Evaluate:

7 − (4a − 5)

Evaluate:

(6y − 13) − (4 − 7y)

Subtract:

5a − 3b + 2c from a − 4b − 2c.

Subtract:

4x − 6y + 3z from 12x + 7y − 21z.

Subtract:

5 − a − 4b + 4c from 5a − 7b + 2c.

Subtract:

− 8x − 12y + 17z from x − y − z.

Subtract:

2ab + cd − ac − 2bd from ab − 2cd + 2ac + bd.

Take − ab + bc − ca from bc − ca + ab.

Take 5x + 6y − 3z from 3x + 5y − 4z.

Take `(-3)/2"p"+"q"-"r"` from `1/2"p"-1/3"q"-3/2"r".`

Take 1 − a + a² from a² + a + 1.

From the sum of x + y – 2z and 2x – y + z subtract x + y + z.

From the sum of 3a – 2b + 4c and 3b – 2c subtract a – b – c.

Subtract x – 2y – z from the sum of 3x – y + z and x + y – 3z.

Subtract the sum of x + y and x – z from the sum of x – 2z and x + y + z

By how much should x + 2y – 3z be increased to get 3x?

The sum of two expressions is 5x² – 3y². If one of them is 3x² + 4xy – y², find the other.

The sum of two expressions is 3a² + 2ab – b². If one of them is 2a² + 3b², find the other.

Fill in the blanks:

6 × 3 = .............. and 6x × 3x = ............

Fill in the blanks:

6 × 3 = .............. and 6x² × 3x³ = ............

Fill in the blanks:

5 × 4 = .............. and 5x × 4y = ............

Fill in the blanks:

4 × 7 = .............. and 4ax × 7x = ............

Fill in the blanks:

6 × 2 = .............. and 6xy × 2xy = ............

Fill in the blanks:

12 × 4 = .............. and 12ax² × 4ax = ............

Fill in the blanks:

1 × 8 = .............. and a²xy² × 8a³x²y = ............

Fill in the blanks:

15 × 3 = .............. and 15x × 3x⁵y² = ............

Fill in the blank:

4x × 6x × 2 = .....................

Fill in the blank:

3ab × 6ax = ..................

Fill in the blank:

x × 2x² × 3x³ = .....................

Fill in the blank:

5 × 5a³ = ................

Fill in the blank:

6 × 6x² × 6x²y² = ...................

Fill in the blank:

− 8x × − 3x = − ....................

Fill in the blank:

− 5 × − 3x × 5x² = ..................

Fill in the blank:

8 × − 4xy² × 3x³y² = .............

Fill in the blank:

− 4x × 5xy × 3z = ....................

Fill in the blank:

5x × 2x²y × (− 7y³) × 2x³y² = ...............

Find the value of 3x³ × 5x⁴

Find the value of 5a² × 7a⁷

Find the value of 3abc × 6ac³

Find the value of a²b² × 5a³b⁴

Find the value of 2x²y³ × 5x³y⁴

Find the value of abc × bcd

Multiply:

a + b by ab

Multiply:

3ab − 4b by 3ab

Multiply:

2xy − 5by by 4bx

Multiply:

4x + 2y by 3xy

Multiply:

x² − x by 2x

Multiply:

1 + 4x by x

Multiply:

9xy² + 3x²y by 5xy

Multiply:

6x − 5y by 3axy

Multiply:

− x + y − z and − 2x

Multiply:

xy − yz and x²yz²

Multiply:

2xyz + 3xy and − 2y²z

Multiply:

− 3xy² + 4x²y and − xy

Multiply:

4xy and − x²y − 3x²y²

Multiply:

3a + 4b − 5c and 3a

Multiply:

− 5xy and − xy² − 6x²y

Multiply:

x + 2 and x + 10

Multiply:

x + 5 and x – 3

Multiply:

x – 5 and x + 3

Multiply:

x – 5 and x – 3

Multiply:

2x + y and x + 3y

Multiply:

(3x – 5y) and (x + 6y)

Multiply:

(x + 9y) and (x – 5y)

Multiply:

(2x + 5y) and (2x + 5y)

Multiply:

3abc and − 5a²b²c

Multiply:

x − y + z and − 2x

Multiply:

2x − 3y − 5z and − 2y

Multiply:

− 8xyz + 10x²yz³ and xyz

Multiply:

xyz and − 13xy²z + 15x²yz − 6xyz²

Multiply:

4abc − 5a²bc − 6ab²c and − 2abc²

Find the product of xy − ab and xy + ab

Find the product of 2abc − 3xy and 2abc + 3xy

Find the product of a + b − c and 2a − 3b

Find the product of 5x − 6y − 7z and 2x + 3y

Find the product of 5x − 6y − 7z and 2x + 3y z

Find the product of 2a + 3b − 4c and a − b − c

Divide:

3a by a

Divide:

15x by 3x

Divide:

16m by 4

Divide:

20x² by 5x

Divide:

30p² by 10p²

Divide:

14a³b³ by 2a²

Divide:

18pqr² by 3pq

Divide:

100 by 50b

Simplify:

2x⁵ ÷ x²

Simplify:

6a⁸ ÷ 3a³

Simplify:

20xy ÷ − 5xy

Simplify:

− 24a²b²c² ÷ 6ab

Simplify:

− 5x²y ÷ xy²

Simplify:

40p³q⁴r⁵ ÷ 10p³q

Simplify:

− 64x⁴y³z ÷ 4x³y²z

Simplify:

35xy⁵ ÷ 7x²y⁴

Divide:

`-(3"m")/4` by 2m

Divide:

− 15p⁶q⁸ by − 5p⁶q⁷

Divide:

− 21m⁵n⁷ by 14m²n²

Divide:

36a⁴x⁵y⁶ by 4x²a³y²

Divide:

20x³a⁶ by 5xy

Divide:

`(28"a"^2"b"^3)/"c"^2` by 4abc

Divide:

`(2"a"^2)/(9"b"^2)` by `(3"b")/(2"a")`

Divide:

`(-5.5"x"^2)/"y"` by `(11"x")/"y"`

Divide:

`(64"x"^2"y"^2)/"z"^2` by `(8"xy")/"z"`

Simplify:

`(-15"m"^5"n"^2)/(-3"m"^5)`

Simplify:

`(35"x"^4"y"^2)/(-15"x"^2"y"^2)`

Simplify:

`(-24"x"^6"y"^2)/(6"x"^6"y")`

Divide:

9x³ − 6x² by 3x

Divide:

6m² − 16m³ + 10m⁴ by − 2m

Divide:

15x³y² + 25x²y³ − 36x⁴y⁴ by 5x²y²

Divide:

36a³x⁵ − 24a⁴x⁴ + 18a⁵x³ by − 6a³x³.