Math Made Favourable

Welcome Back to My Blog! Today, we're diving into the fascinating world of algebra. Get ready as we embark on this exciting adventure together!   The Importance of Algebra   Algebra is essential in various fields of mathematics. It involves manipulating equations and solving problems with unknown variables. In this chapter, we’ll focus on expanding expressions involving brackets and the reverse process called factorization. In expansion,we remove brackets but in factorization,we introduce them.  The Distributive Law   Consider the expression a(b+c). Here, a is the coefficient of the expression in the brackets,(b+c) . The distributive law says that to simplify a(b+c), we must multiply  the coefficient with each term inside the brackets and add the results: a(b+c) = ab + ac Example 1: 1. 2(5x-1)=2(5x)+(2×(-1))       =10x-2 2. 2x(3-x)=(2x × 3)+(2x ×(-x))    =6x-2x² 3. -5x(x-3) =(-5x × x)+(-5x ×(-3))       = -5x² + 15x Example...

Welcome back to my blog! Today, we're continuing our journey into the world of algebra. Many problems in math can be solved using equations. We convert word problems into algebraic equations by representing unknown quantities with variables such as "x." We then follow a formal procedure to find the solution. A linear equation typically takes the form ax+b=0, where x is a variable "a" and "b" are constants, and a ≠ 0 . Examples of linear equations include 3x-2=4 and 2x+1=9. Note : There is a crucial difference between equations and expressions. Expressions are representations of mathematical statements that are not equated to anything, while equations are expressions equated to something. In other words, there's an equal to(=) sign in equations but there's no equal to(=) sign in expressions. Sides of an Equation Every equation has two sides: the left-hand side (LHS) and the right-hand side (RHS). For example, in the equation 3x+4=9 LHS: 3x+4 ...

Welcome Back to My Blog! Today, we’re diving into the fascinating world of sets. Stay tuned as we embark on this interesting adventure! So, What Are Sets? In mathematics, sets are collections of well-defined objects. They are usually denoted by capital letters, and their elements are enclosed in curly brackets { }. For example, a set A can be defined as the collection of even numbers less than 10.This statement can be written as A = {2, 4, 6, 8}. Members/Elements of Sets The members or elements of a set refer to the individual objects within that set. For instance, in the set A = {1, 2}, the elements are 1 and 2. The symbol ∈ indicates membership, meaning "is an element of." For example, 1 ∈ A means "1 is a member of set A." The number of elements in set A can be expressed as n(A) = 2, indicating that set A has two elements. Let's consider another example. For set H = {5, 10, 15, 20}, we find that n(H) = 4 since there are four elements in set H. Types of Sets 1....

Hi there! I’m a math lover who’s been through the ups and downs of learning math, just like many of you. This blog is here to make math easier and more enjoyable, helping you tackle common challenges and misunderstandings along the way.    There has been a lot of misconceptions about the subject which has prevented many people from seeing the beauty and fun in it.Here are a few of these misconceptions: - “Math is just about numbers and formulas”– Actually, math is about solving problems, thinking critically, and spotting patterns in everything around us. - “If you struggle with math, you’ll never improve”– Everyone faces challenges with math, but with the right approach and practice, anyone can get better. - “Math isn’t useful in real life” – Math is everywhere! From managing your budget and planning trips to health,cooking,architecture and many more,math plays a huge role in our daily lives. On this blog, I’ll break down topics like algebra, geometry and calculus  into s...