Addition of Algebraic Expressions

Q. $3x^3{y}^2+17x^{3}y=20x^3{y}^3$

1. False
2. True

Q.

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

1. $4a{b}^2$ + $20a{b}^{2}x$

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

3. $20a{b}^2$ + $4a{b}^{2}x$

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

Q.

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

1. True

2. False

Q. The length of a rectangle is $2(x+6)$ cm, and its width is half of its length. What is its perimeter?

1. $6(x-3)$ cm
2. $6(x-6)$ cm
3. $3(x+6)$ cm
4. $(6x+36)$ cm

Q. What is x + y when x = -6 and y = -9?

1. -54
2. 54
3. -15
4. 15

Q. Simplify the expression 6x - 2 + 3x.

1. 7x
2. 11x
3. 9x - 2
4. 3x - 2

Q.

If $x^2$ + $y^2$ = 14 and xy = 3, find the value of $2{(x+y)}^2-5{(x-y)}^2$.

1. 0

2. 14

3. 106

4. 52

Q.

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

1. $33x^2+5x-6$

2. $33x^2+19x-6$

3. $33x^2-5x-6$

4. $33x^2-19x-6$

Q. The measures of the angles of a quadrilateral are $(p+{25}^{\circ }),2p,(2p-{15}^{\circ })$ and $(p+{20}^{\circ })$. What is the measure of the smallest angle?

1. ${105}^{\circ }$
2. ${65}^{\circ }$
3. ${115}^{\circ }$
4. ${75}^{\circ }$

Q.

What should be the value of a, if the value of $2x^2+6a–5x+10$ is $25$, when $x=1$?

1. 6

2. 3

3. -3

4. -6