Algebra

Project bonus 2: Quadratics with parameters Project bonus 2: Quadratics with parameters Given the following equation: 1. What values of make this equation, an equation with 2 roots? 2. Find the values of so that […]

Introduction to matrices Introduction to Matrices Before we start solving multiple equations, I have to introduce the matrix calculations. Tables can be represented by what we call matrices. A matrix is a type of rectangular […]

Order of Operations Whether you are programming or dealing with simple Algebra factors, it is essential to know the order of operations. It is obvious that even when we look at some social media small […]

Algebraic identities We have already used lot of identities in our generic problems we solved. It is important that we learn the basic algebraic identities and how to sue them depending on the situations. We […]

An introduction to Complex numbers Complex numbers are numbers in the form of . They are widely used and make lengthy solutions very short in various fields like Electrical Engineering, Navigation, etc… In this form, […]

Prove that: While it is not allowed to drop in home works, we can still give hints when you put it in our forum.Let and be a square.We will use two variables and to prove […]

Absolute value The best way to try to understand the absolute-value is to look at the number line.If we take any number on the number line, its distance from zero is its absolute value. The […]

In the following example, professor Alfred explains how we can save time by using the “poet’s” way, an elegant method, instead of what we call “Peasant’s” method.Most of us hurry up when faced with a […]

The Number System: Number Sets: Counting numbers, positive integers or natural numbers (NN) These are the positive integers. They are used in our daily operations when we count various stuff. We count money, cars, pencils, […]

Solved Problems A stranger asked about his age replied : If I have to reach 100 years, the half of the of the of my age is 12 years more than the of the of […]

Radical Expressions and Exponential Notations Exponential notations help us express long expressions into shorthand notations. For example if we have we can see that we are multiplying 5 by itself 6 times. This is easy […]

Exercise:MD03CE Hands-on: Pythagorean theorem: A right triangle has one of the legs 68 meters longer than the other. The semi-perimeter of the triangle is equal to 112 meters. Find the hypotenuse and the two legs. […]

DIVISIBILITY When solving complex problems, we can encounter a situation where we want to know if a large number is divisible by our regular digits. In higher level courses in this site, we may use […]

FACTORING: Factoring is another step we must refresh to be able to simplify and solve equations. Simply put, if we cannot factor, chances are that we cannot simplify. For a giving number, we have to […]

Proportions and scientific notations Before discussing proportions, let’s revisit the . Percent: Usually we see fractions where the numerator is . This is mainly the case of decimal fractions and some other common fractions. We […]

Inequalities Inequalities appear to us in many forms. Imagine that we want to express the following sentence in an equation: The total number of cars parked here is at least 50. If this total is […]

Exponents and logarithms, multiple pages This is part of our refreshers since these functions are widely used everywhere. We will just stick to the properties and teach the students how to solve this type of […]

Polynomial Functions We have already discussed a particualar polynomial, the quadratic.In this journey, we are going to extend our knowledge to other types of polynomials. The purpose here is to know how to manipulate the […]