Basic Terms in Algebraic Expressions

The degree of the polynomial $x^{2}y+x^3+2x^2{y}^2$ is _____.

Write the constant term in $x^2+2x-5$.

For the numerical expression $8+(6÷2)$, the missing operation in the tree is _____

For the numerical expression $65÷(9+3)$, the missing number in the tree is _____.

For the numerical expression $15\times (9÷3)$, the missing number in the Tree is _____.

Check whether the tree diagrams are equal or not. If yes, then write Equal. If not, then write Not equal.

Check whether the tree diagrams are equal or not. If yes, then write Equal. If not, then write Not equal.

The rule, which gives the number of matchsticks required to make $n$ number of the matchstick pattern of the shape $A$, is $\left(3n / 5n / 6n\right)$

The rule, which gives the number of matchsticks required to make $n$ number of matchstick pattern of the shape $V$, is $\left(2n / 5n / 4n\right)$

The rule, which gives the number of matchsticks required to make the matchstick pattern $U$, is

(Consider number of matchsticks used as $n$)

The Side of a regular hexagon is denoted by $l \mathrm{units}$. If the perimeter of the hexagon is $k \mathrm{units}$, then find the value of $k$.

The rule, which gives the number of matchsticks required to make the matchstick pattern $F$, is

The rule, which gives the number of matchsticks required to make the matchstick pattern $C$, is

 The given figure gives a matchstick pattern of triangles. Find the general rule that gives the number of matchsticks in terms of the number of triangles.

 Look at the following matchstick pattern of squares. The squares are not separate. Two neighbouring squares have a common matchstick. Observe the patterns and find the rule that gives the number of matchsticks in terms of the number of squares.

If there are $50$ mangoes in a box, how will you write the total number of mangoes in terms of the number of boxes? (Use $b$ for the number of boxes.)

Classify the following expression as monomial, binomial or trinomial.
$9pq{r}^2$

Classify $4a^2-4ab+b^2$ as Monomial / Binomial / Trinomial.

State whether the expression $2+m+n$ is: Numerical Expression / Algebraic Expression.

Write in appropriate box by selecting monomial, binomial and trinomial expression from the following: $2mn-3$