Addition and Subtraction of Like and Unlike Terms

Q. Subtract 5x²- 4y²+6y-3 from 7x²-4xy+8y²+5x-3y

Q.

If 5x-2y=17 and 3x+y=8, then find the value of x and y

Q.

The result obtained on subtracting the product of 2x and (x - 3y) from (5x + 3y) and (2y + 1) is ____.

1. 16xy + 6y² - 2x² + 5x + 3

2. 16xy + 6y² - 2x² + 5x - 3y

3. 16xy + 6y² - 2x² + 5x + 3y

4. 16xy + 6y² - 2x² + 5x

Q.

When 7xy + 5yz - 3zx, 4yz + 9zx - 4y and - 3xz + 5x - 2xy are added, we get:

1. 5xy + 9yz + 3zx + 5x – 4y

2. 5xy + 9yz + 15zx + 5x – 4y

3. 5xy + 9yz + 3zx - 5x – 4y

4. 5xy + 9yz - 3zx + 5x – 4y

Q.

Add the following

2a+3b-4; 8a+10b+13

Q. If we subtract $-4x^{2}y$ from $2x^{2}y$ we get .

1. $6x^2{y}^2$
2. $-6x{y}^2$
3. $6x^{2}y$
4. $-6x^{2}y$

Q. What must be subtracted from $2x^3-4x^2+6x-2$ to get $3x^3+2x^2-5x+3$ ?

1. 

2. 

3. 

4. 

Q.

Subtract $7x-3x^2$ from $4x+8x^2$

1. $-3x$

2. $11x^2-5x$

3. $11x^2$

4. $11x^2-3x$

Q. Match the given expressions with their resultants.

1. $7x^{2}y+7y^2$
2. $2x-yx$
3. $4xyz$
4. $3x{y}^2+5y{x}^2$

Q.

Which of the following pair of algebraic expression will add up to give 12xy - 7?

1. 3xy; - 7 + 4xy; 9xy - 13 and 17

2. 3xy + 2; 12xy - 13; -14xy + 12 and 13xy - 19

3. -7xy + 12; 12xy - 2; 9xy + 8 and -2xy - 25

4. 2xy - 3; 13xy + 14; -2xy - 18 and -xy - 5

Q. Add the following: a- b+ab, b - c +bc, c - a + ac

1. ab + ac
2. ab + bc + ac
3. ab +2 bc + ac
4. c - a +ac

Q.

$\text{Find the sum of}$
$(11x^2-8x+4)\text{and}(6x^2+7x-10).$

1. $17x^2-x-6$

2. $17x^2-x+6$

3. $17x^2+x-6$

4. $18x^2-x-6$

Q.

The two adjacent sides of a rectangle are 5$x^2$ - 3$y^2$ and $x^2$ + 2$xy$ . Find its perimeter.

1. 

2. 

3. 

4. 

Q. x+5+3x-7

Q.

Add: $5+y-3y^2+2y^3,-8+3y+7y^3$ and $3-8y-4y^3+2y^2$

1. 

2. 

3. 

4. 

Q. Subtract:
(a) x² – 1 from x² + 1
(b) 2x² – 11x + 3 from x² + 15x – 1
​(c) 3xy + 5yz – 7zx from 5xy – 2yz – 2zx + 10xyz
​(d) 3a²b + 5ab – 7ab² from 2a²b + 8ab + 8ab²

Q. $\text{If}x\text{is multiplied with the sum of}11x^2-8x+4$
$\text{and}6x^2+7x-10,\text{then find the product.}$

1. $17x^3-x^2-6x$
2. $17x^2-x+6$
3. $17x^2+x-6$
4. $17x^2-x-6$

Q. What must be subtracted from $(x^3-3x^2+5x-1)$ to get $(2x^3+x^2-4x+2)$ ?

1. $-x^3+4x^2+9x-3$

2. $-x^3-4x^2+6x-3$

3. $-x^3-4x^2+9x-9$

4. $-x^3-4x^2+9x-3$

Q. is added to (a +b) to get (3a +2b).

1. 2a +3b
2. 2a +b
3. 4a +3b
4. -2a -b

Q. The expression that matches the statement "add 5x and 3x, then subtract from 12y” is

1. 5x + 3x - 12y
2. 5x + 3x + 12y
3. 12y - 5x + 3x
4. 12y - 5x - 3x

Q. $\text{If two adjacent sides of a rectangle}\text{measure}(2x^2+y)m\text{and}(x^2-y)m,\text{then find its perimeter.}$

Q. Subtract $7x-3x^2$ from $4x+8x^2$

1. $-3x$

2. $11x^2-5x$

3. $11x^2$

4. $11x^2-3x$

Q.

Find the value of $A+B+C$ if :

$A=(7xy+5yz-3zx)$
$B=(4yz+9zx-4y)$
$C=(-3xz+5x-2xy)$

1. $5xy+3zx+5x-4y$

2. $5xy+9yz+3zx+4y$

3. $5xy+9yz+2zx+5x-4y$

4. $5xy+9yz+3zx+5x-4y$

Q.

Add $(3+2y-5y^2+6y^3),(-8+3y+7y^3)$ and $(5-6y-8y^3+y^2)$.

1. $-3y-4y^2+5y^3$

2. $-y-3y^2+5y^3$

3. $-y-4y^2+5y^3$

4. $-y-4y^2+6y^3$

Q.

What should be added to $x^2+3x-8$ to get $x^2+x+6$?

1. - 2$x$ + 14

2. $x$ + 6

3. 2$x$ + 14

4. 3$x^2$ - 8