ALGEBRA

BASIC TERMS AND THEIR DEFINITIONS:

These are terms that are commonly used in algebra and their definitions are as follow:

Variable - This refers to a symbol, usually a letter, that is used to represent an unknown value in mathematical expressions and equations. For example: In (X+2=5), (X) is the variable.
Coefficient - This is a numerical factor that multiplies a variable in an algebraic expression. For example: In (12x + 4), the 12 is the coefficient of (x).
Constant - A constant is referred to as a fixed value that does not change and does not contain any variables. In other words, a constant is a number that remains unchanged. For example: In (6y + 8), the number 8 is a constant.
Expression - refers to a mathematical statement that has a combination of numbers, variables and operations such as (+, -, x, and division), without the equality sign. An example of an algebraic expression is: 2x + 6y - 5.
Equation - This is a mathematical statement that has two algebraic expressions on both sides of an equal sign (=), for example, 3x + 5 = 11.
Inequality - the inequality term is defined as the relation between two expressions that may or may not be equal, by which are indicated by symbols sch as the greater than (>), less than (<). For example: x + 4 < 10.

In Algebra, we have different types of equations. So that we know what type of equations we are working with before we solve the equation. Here are a few examples of equations in Algebra.

1). Linear Equations: This is a type of equation in which the highest power of the variable(s) is 1. A linear equation represents a straight line when it is graphed. Linear equations are also known as equations of the first order or one-degree equations. e.g. 2x + 3 = 7.

2). Quadratic Equations: The term "quadratic" comes from the Latin word "quadratus" meaning square, which refers to the fact that the variable x is squared in the equation. In other words, a Quadratic equation is an " equation of two degree". For example, x^2 - 4x +4 = 0

3). Cubic Equations: This is an equation in which the highest power of the variable is 3. For example, x^3 - 6x^2 + 11x - 6 = 0.

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