Fundamental Concepts of Algebra

Algebra is a fundamental building block for mathematics.
Algebra is a part of math that focuses on using letters and symbols to represent numbers and the rules for working with them.
It acts as a common link in nearly all areas of mathematics, allowing us to show connections and find solutions to problems.
Algebra is important for higher education in subjects like math, science, engineering, economics, and many other areas.
Variables are like placeholders that can hold different values, which helps us create formulas and rules that apply to various situations in the real world. By using these variables, we can solve problems and understand patterns, making complex scenarios easier to manage and analyze.

Pronumerals: A term written in alphabetical order, e.g. 5 x y x 7 = 5xy.
Terms: A term is a single mathematical expression, e.g. 2, y, 3x, 6xy.
Variables: Symbols (often letters) that represent unknown values, e.g., x, y, z.
Constants: Only a number, not a variable, e.g. 2, -5.
Coefficients: A number in front of a variable, e.g. in 3t, the coefficient is 3.
Expressions: Mathematical expressions consist of variables, numbers, and operations, but they do not include the equality sign (=).
Equations: An equation shows that two expressions have the same value. For example, the equation 2x + 3 = 7 means that the expression on the left (2x + 3) is equal to the number on the right (7).