Addition of Polynomials

Q.

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

1. 5xy + 9yz + 3zx + 5x – 4y

2. 5xy + 9yz + 15zx + 5x – 4y

Q. If $\left(\frac{4}{5}\right)x$ = $\left(\frac{5}{100}\right)y$, then the value of $\left(\frac{(y+x)}{(y-x)}\right)$ is:

1. None of these
2. 
3. 
4. 

Q. Deepthi’s mother gave her Rs. $5x{y}^2$ and her father gave her Rs. $3(2x{y}^2+2)$. Out of this total money, she spent Rs. $(25-6x{y}^2)$ on her birthday party. How much money is left with her?

1. 
2. 
3. 
4. 

Q.

Add: $12x^2-12x+4$ and $21x^2+7x-10$

1. 

2. 

3. 

4. 

Q.

Add: $3+2y-5y^2+6y^3,-8+3y+7y^3$ and $5-6y-8y^3+y^2$

1. 

2. 

3. 

4. 

Q. Two numbers are such that if we divide the $3$ times the greater number by the smaller number we obtained the quotient is $4$ and remainder $3$ and if $7$ times the smaller number is divided by bigger number then quotient and remainder are $5$ and $1$ respectively. Find the numbers.

Q.

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

1. $6x^{2}m$

2. $-6x^{2}m$

3. $(6x^2-4y)m$

4. $(6x^2+4y)m$

Q.

Write the phrase using numbers, literals, and the basic operation of subtraction :

$y$ less than the sum of $x$ and $8$

Q.

Find the value of $(x+y)(2x+y)+(x+2y)(x-y)$ when $x=-2$ and $y=-1$

1. 18

2. 19

3. 21

4. 17

Q.

$15a{b}^2$ + $2a{b}^{2}x$ + $3a{b}^2$ + $2a{b}^{2}x$ + $2a{b}^2$ = _____

1. $24a{b}^{2}x$

2. $4a{b}^2$ + $20a{b}^{2}x$

3. $24a^2{b}^{4}x$

4. $20a{b}^2$ + $4a{b}^{2}x$

Q.

Find a point with an X-coordinate of 5 on the line 3x - 8y + 17 = 0. [2 MARKS]

Q. Find the correct pair by evaluating the following

1. $-6x+3x+9y$
2. $18xy$
3. $x\times -y$
4. $9x\times 2y$
5. $-11xy-7xy$
6. $-3x+9y$
7. $-18xy$
8. $-xy$

Q.

The sides of a triangle are $a^2-3ab+8$, $4a^2+5ab-3$ and $6-3a^2+4ab$. Then its perimeter is

1. $a^2+2ab+11$

2. $2a^2+6ab+11$

3. $2a^2+ab+11$

4. $2a^2+2ab$

Q.

When we add $5a^{2}b+6ab+7bc+54$ to $14ab+8ac+16$, we will get:

1. b + 16ab + 7bc + 8ac + 70
   
   

2. b + 20ab + 7bc + 70
   
   

3. b + 6ab + 7bc + 8ac + 70
   
   

4. b + 20ab + 7bc + 8ac + 70
   
   

Q.

Write expression for the following:

(ii) $11$subtracted from $2m$