Addition and Subtraction of Algebraic Expressions

Q.

If $x\left[\begin{array}{c}-3\\ 4\end{array}\right]+y\left[\begin{array}{c}4\\ 3\end{array}\right]=\left[\begin{array}{c}10\\ -5\end{array}\right]$, then

1. $x=-2,y=1$

2. $x=-9,y=10$

3. $x=22,y=1$

4. $x=2,y=-1$

Q.

Question 2 (i)

Add:

3mn, -5mn, 8mn, -4mn

Q.

Question 64

To what expression must $99x^3-33x^2-13x-41$ be added to make the sum zero?

Q. What is the meaning of selling price

Q.

Add: $14x+10y-12xy-13,18-7x-10y+8xy,4xy$

Q.

Question 3 (i)

Subtract:

$-5y^{2}from{y}^2$

Q.

Question 57 (c)

Add the following expression:

ab + bc + ca and - bc - ca - ab

Q.

Question 68 (i)

If $A=3x^2-4x+1,B=5x^2+3x-8andC=4x^2-7x+3$, then find

(A + B) - C

Q.

Question 59 (a)

What should be added to $x^3+3x^{2}y+3x{y}^2+y^3$ to get $x^3+y^3?$

Q.

From the sum of $4+3x$ and $5-4x+2x^2$, subtract the sum of $3x^2-5x$ and $-x^2+2x+5$ .

Q.

Question 60 (a)

What should be subtracted from $2x^3-3x^{2}y+2x{y}^2+3y^3$ to get $x^3-2x^{2}y+3x{y}^2+4y^3?$

Q.

Question 65

Subtract $9a^2-15a+3$ from unity.

Q.

Question 69

If P = -(x - 2), Q = -2(y + 1) and R = -x + 2y, find a, when P+Q+R = ax.

Q.

Question 71

Subtract the sum of $12ab-10b^2-18a^2$ and $9ab+12b^2+14a^2$ from the sum of $ab+2b^2$ and $3b^2-a^2.$

Q.

Question 60 (b)

What should be subtracted from $-7mn+2m^2+3n^2$ to get $m^2+2mn+n^2?$

Q.

Question 57 (a)

Add the following expression:

$p^2-7pq-q^{2}and-3p^2-2pq+7q^2$

Q.

Add the following expression:

$\frac{5}{8}{p}^4+2p^2+\frac{5}{8},\frac{1}{8}-17p+\frac{9}{8}{p}^{2}and{p}^5-p^3+7$

Q.

Question 2 (iii)

Add:

-7mn + 5, 12mn + 2, 9mn - 8, -2mn - 3

Q.

Question 70

From the sum of $x^2-y^2-1,y^2-x^2-1$ and $1-x^2-y^2$, subtract $-(1+y^2).$

Q.

Question 57 (g)

Add the following expression:

uv - vw, vw - wu and wu-uv

Q.

Subtract:

$ab-bc-ca$ from $-ab+bc+ca.$

Q.

Question 62

How much is $y^4-12y^2+y+14$ greater than $17y^3+34y^2-51y+68$?

Q.

Question 59 (b)

What should be added to $3pq+5p^2{q}^2+p^3$ to get $p^3+2p^2{q}^2+4pq?$

Q.

Question 5(viii)

Give expression for the following case.

y is multiplied by -5 and the result is added to 16.

Q.

Question 58 (h)

Subtract:

2(ab + bc + ca) from -ab - bc - ca.

Q.

Question 61

How much is $21a^3-17a^2$ less than $89a^3-64a^2+6a+16?$

Q.

Question 58 (b)

Subtract:

$-a^2-ab$ from $b^2+ab$

Q.

Question 2 (ii)

Add:

t - 8tz, 3tz - z, z - t

Q.

Question 58 (g)

Subtract:

$x^3{y}^2+3x^2{y}^2-7x{y}^3$ from $x^4+y^4+3x^2{y}^2-x{y}^3.$

Q.

Add:

$a+b-3,b-a+3,a-b+3$