Handling inequalities that involve absolute values follow the same steps for solving equations with absolute values. You can refer to our previous tutorial as a prerequisite to this lesson. However, we will again list all the steps here and use them in solving some examples.
The difference of two squares formula is useful when factoring quadratic expressions. In general form, a difference of two squares is$$
Whether you face an algebraic fraction with exponents or without exponents, there is no difference in the solution steps. What we need to mention here is that the types of algebraic fractions in the previous tutorial were all monomials.
An equation is linear only if the exponents of the unknown variables equal to one. For a system of linear equations, an equation should have at least one variable.
Fraction, which means breaking in Latin, is a way of representing a part or several parts of a whole unit. Fractions are noted or written down with two numbers, one at the top (aka numerator) and the other at the bottom (denominator), separated by a bar.
To understand this term, we first have to define factors. A simple definition of factors is that they are whole numbers whose product gives another number. In other words, if a is a factor of A, then dividing A by should leave no remainder.
After looking at the intersection between a parabola and a line in our previous tutorial, let’s now look at how we can find a solution to a system of two parabolas. Such a system has a solution if and only if they meet at one or more points. One solution suggests that the two parabolas are tangential to one another.
The quadratic formula simplifies the solution of quadratic equation problems. If you equate a trinomial (polynomial with three terms) to zero, you get a quadratic equation. It takes the form $$a x^{2}+b x+c=0$$
An absolute value of any number is its distances from the origin to either side of the number line. That is, an absolute value can take negative or positive values.
Circles and squares are basic shapes that we interact within our everyday lives. Most of the objects have these shapes. The knowledge of their areas and perimeters is key in making such objects. Think of your ventilation holes on the wall as an example. What of those circular windows? In this tutorial, we will shift our focus to squares and circles. You check on other shapes from our previous tutorials.
