Algebra

Get to know the roots of math with their basic properties and review some examples of using that.

Finding equation of the line that is perpendicular to given one

Find the equation of the line that is perpendicular to the $y = 4x - 1$ and passes through the point $(8,5)$ ?

Write linear function equation, when we have a slope and one point

Write linear function equation, if $m = 0.5$ and point with coordinates $(3,12)$ belongs to this function. How solve this task?

The solutions $x_1$ and $x_2$ of the quadratic equation $ax^2+bx+c=0$ can be found by special Vieta’s formulas.

If we have quadratic equation $ax^2+bx+c=0$, then the discriminant of the quadratic equation is the number D and it is found by formula.

Basic properties of logarithms

The logarithm of a given number b is the exponent to which another fixed number, the base a, must be raised, to produce that number b $(a>0, \ a\neq 1, \ b>0)$.

Short multiplication formulas [Polynomial identities]

Square of sum and difference, difference of squares, cube of sum and difference, sum and difference of cubes formulas.