Mathematics 1 - Basics of Algebra

Variables and Constants:

• Variables represent unknown quantities, typically denoted by letters like x, y, a, b, etc.
• Constants are fixed values that do not change.

Expressions:

• Algebraic expressions combine variables, constants, and mathematical operations like addition, subtraction, multiplication, and division.

Terms:

• Terms are parts of expressions separated by addition or subtraction.

Coefficients:

• Coefficients are the numerical factors of terms in expressions.

Equations:

• Equations assert the equality of two expressions using an equal sign (=).

Inequalities:

• Inequalities compare expressions using symbols like <, >, ≤, or ≥.

Operations:

• Basic operations include addition (+), subtraction (-), multiplication (×), and division (÷).

Factoring:

• Factoring expresses an expression as the product of its factors.

Solving Equations and Inequalities:

• Solving involves manipulating expressions to isolate variables and find their values.

Graphing: