Question

$......$ contains only one variable with highest power $1$.

A) Simple equation

B) linear equation

C) Linear polynomial

D) multi equation

Answer 1

$1)$Simple equation:Linear equation which involves one variable is called a linear equation in one variable or Simple equation.

Example:$3x+5=x+2$ $x+2=10$

$2)$Linear Equation:An equation in which the highest index of the variables present is $1$ is called a linear equation

Example: $x+y+z=1$

$3)$Linear Polynomial:If the degree of a polynomial is $1$ then the polynomial is said to be a linear polynomial.Its general form in one variable $x$ is $ax+b$ where $a,b\in R$ and $a\ne 0$

For example:$2x+5$

$4)$Multi-equation:If the degree of a polynomial is negative then the polynomial is said to be a multinomial.Its general form in one variable $x$ is $\frac{a}{x}+b$ where $a,b\in R$ and $a\ne 0$

For example:$x^3-\frac{4}{x}$, $\sqrt{x}-5$ etc

Thus, from the above definitions, we conclude that a simple equation contains only one variable with highest power $1$