Introduction to Algebra

A variable is a letter used to find the unknown quantity.

A variable is a letter used to stand for a fixed value.

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.)

If the sum of two consecutive even numbers is $34$, the numbers are

In an algebraic expression, letters which are used to represent numbers and do not have fixed value are called _____.

The coefficient of $x$ in the polynomial: $3x^3-2x^2-x$ is

The $n^{\text{th }}$ term of the numbers that are multiples of $3$ arranged in an increasing order is given by the expression

The number of diagonals we can draw from one vertex of a polygon of $n$ sides is

The coefficient is the _____ factor of the term.

The value of $a+4a+(-7a)$ is:

If $x=1$, the value of $x^2+2$ is

In the expression $3x-5y$, the coefficient of $x$ is