Introduction to Absolute Value Functions An absolute value function is written as $ f(x) = |x| $, where $ |x| $ represents the distance of $ x $ from 0 on the number line. The absolute value of $ x…
Introduction to Logarithmic Functions A logarithmic function is the inverse of an exponential function. If $ a^y = x $, then the logarithmic form is written as $ \log_a(x) = y $, which reads as “the logarithm of $ x…
Linear equations and inequalities form the foundation of algebra and are widely used in various real-world applications. A linear equation is an equation that makes a straight line when graphed. It contains variables raised to the power of 1, and…
Variables and expressions are fundamental concepts in algebra and mathematics in general. Variables are symbols, often letters, that represent numbers. They allow us to create general rules or formulas that apply to many different situations. Expressions are combinations of variables,…
In mathematics, the order of operations is a crucial concept that dictates the sequence in which different operations (such as addition, subtraction, multiplication, etc.) should be performed in an expression to ensure accurate results. The acronym PEMDAS helps us remember…
Fractions, decimals, and percentages are fundamental concepts in mathematics that represent parts of a whole. They are widely used in various fields, including finance, engineering, and everyday life, to describe quantities that are not whole numbers. Understanding these three concepts…
In mathematics, the basic operations serve as the foundation for almost all calculations. These operations include addition, subtraction, multiplication, and division. Understanding and mastering these basic operations are crucial for solving a wide variety of mathematical problems, from simple arithmetic…