Types of Algebraic Expressions

Q. Observe the pattern given below:
3, 9, 19, 33...
The algebraic expression for $n^{th}$ term of the pattern is .

1. $2(n^2+1)$
2. $2n^2+2$
3. $n^2+2$
4. $2n^2+1$

Q.

Which of the following expressions is a polynomial in one variable?

1. $\pi x^3+3x^2+9$

2. $x^{\pi }+x^{-2}$

3. $2x^4+4x^{3/2}+2$

4. $3x^2+4xy+\sqrt{2}$

Q.

Which of the following is a like term of $7xy$?

1. $-0.1xy$

2. $x^{2}y$
3. $\frac{7x}{y}$
4. $\frac{7y}{x}$

Q.

Classify into like terms:

Q. Group the like terms together:
(4x, 6y, -3x, 9z).

1. (4x, 6y)
2. (4x, -3x)
3. (6y, 9z)
4. (6y, -3x)