Addition and Subtraction of Algebraic Expression

Q.

Use suitable identity to solve $\left(y^2-\frac{3}{2}\right)\left(y^2+\frac{3}{2}\right)$

Q.

What should be added to $x^2+xy+y^2$ to obtain $2x^2+3xy$?

Q.

Simplify $(a+b)(2a-3b+c)-(2a-3b)c$. [3 MARKS]

Q. If $\frac{x}{pq}+\frac{x}{qr}+\frac{x}{pr}=p+q+r$, then find the value of$x$.

1. $pqr$
2. $\frac{p}{qr}$
3. $\frac{q}{pr}$
4. $\frac{pq}{r}$

Q.

Saurabh had to go to his brothers paternal uncle sisters husbands father in law only grandmothers house whose house did Saurabh have to go?

Q.

Subtract the sum of $3l-4m-7n^{2}and2l+3m-4n^2\text{from the sum of}9l+2m-3n^{2}and-3l+m+4n^2........$

Q.

Question 81 (i)

Add :

$7a^{2}bc,-3ab{c}^2,3a^{2}bc,2ab{c}^2$

Q.

The perimeter of a triangle is $6p^2-4p+9$ and two of its sides are $p^2-2p+1$ and $3p^2-5p+3$. Find the third side of the triangle.

Q. Find a number such that if 8 is subtracted from 9 times the number.The result is more than twice the number

Q.

Question 3(vi)
Simplify:
(1.5x-4y)(1.5x+4y+3)-4.5x+12y

Q.

If ${}^{n}C_r={}^{n}C_{r-1}$ and ${}^{n}P_r={}^{n}P_{r+1}$ then the value of $n$is

1. $3$

2. $4$

3. $2$

4. $5$

Q.

Find LCM of $x^2-1$ and $x+1$.

1. (x+1)

2. (x-1)

3. 1

4. $x^2-1$

Q.

Question 82 (iii)

Subtract

$2a{b}^2{c}^2+4a^2{b}^{2}c-5a^{2}b{c}^{2}from-10a^2{b}^{2}c+4a{b}^2{c}^2+2a^{2}b{c}^2$

Q.

Simplify:

$3x-[3x-\{3x-(3x-\overline{3x-y}\left)\right\}]$

Q.

6(3x + 2) - 5(6x - 1) = 6(x - 3) - 5(7x - 6) + 12x

Q.

Question 84 (iii)

Simplify

${(\frac{7}{9}a+\frac{9}{7}b)}^2-ab$

Q. Question 33

The value of $(a+b{)}^2-(a-b{)}^2$ is
a) $4ab$
b) $-4ab$
c) $2a^2+2b^2$
d) $2a^2-2b^2$

Q.

Subtract

$-3p^2+3pq+3px$ from $3p(-p-a-r)$

Q.

11x+4=2x-5

Q.

Question 5(b)
Add : 2x (z - x - y ) and 2y (z - y - x)

Q.

Question 81 (ii)

Add :

$9ax+3by-cz,-5by+ax+3cz$

Q.

Question 81 (iii)

Add :

$x{y}^2{z}^2+3x^2{y}^{2}z-4x^{2}y{z}^2,-9x^2{y}^{2}z+3x{y}^2{z}^2+x^{2}y{z}^2$

Q.

Find the whole quantity if: $12$ of it is Rs.$1080$.

Q. $\text{Find the total saving of a boy whose}\text{monthly income is}(5y+9x)\text{and}\text{expenditure for four consecutive weeks are}(4x-6y),(6x+2y),(4y-x),\text{and}(y-2x).$

Q.

If x=6a+8b+9c;y=2b-3a-6c and z=c-b+3a ; find

(i) x+y+z (ii) x-y+z

(iii) 2x-y-3z (iv) 3y-2z-5x

Q. $\text{Let}A=3y^2+9x-3x^2,B=6x^2-2y^2+3x,C=9x^2-3xy-y^2.\text{Find A + B - C.}$

1. $6x^2-3xy-12x+2y^2$
2. $-3x^2+3xy-12x+2y^2$
3. $-6x^2+3xy+12x+2y^2$
4. $2x^2+xy+4x+y^2$

Q. Question 5

If we subtract $-3x^2{y}^2$ from $x^2{y}^2$, then we get
a) $-4x^2{y}^2$
b) $-2x^2{y}^2$
c) $2x^2{y}^2$
d) $4x^2{y}^2$

Q. Question 32

The value of $(a+b{)}^2+(a-b{)}^2$ is
a) $2a+2b$
b) $2a-2b$
c) $2a^2+2b^2$
a) $2a^2+2b^2$

Q.

Question 81 (iv)

Add :

$5x^2-3xy+4y^2-9,7y^2+5xy-2x^2+13$

Q.

$\left[\right(-8)+\_\_\_\_\_\_]+\_\_\_\_\_\_\_\_=\_\_\_\_\_\_\_\_+\left[\right(-3)+\_\_\_\_\_\_\_\_]=-3$. Fill in the blanks to make the statement true.