Algebra

Introduction to Algebraic Expressions

• Algebraic expressions are mathematical expressions that contain variables, such as **x**, **y**, **a**, **b**, etc.
• Variables are used to represent unknown or varying quantities.
• Algebraic expressions can be combined using various operations, such as addition, subtraction, multiplication, and division.

Components of Algebraic Expressions

• **Constants**: Fixed numerical values in an expression, such as 5, 7, -3, etc.
• **Variables**: Represents unknown or varying quantities, such as **x**, **y**, **a**, **b**, etc.
• **Coefficients**: The numerical factors multiplying the variables, such as 2**x**, 3**y**, -5**a**, etc.
• **Operations**: The mathematical operations used to combine the components, such as addition, subtraction, multiplication, and division.

Simplifying Algebraic Expressions

• Combine like terms: Terms with the same variable(s) can be combined by adding their coefficients.
• Remove unnecessary parentheses: Expressions inside parentheses can be simplified and the parentheses can be removed.
• Combine constant terms: All constant terms can be combined by adding them together.

Evaluating Algebraic Expressions

• Substitute the given values for the variables in the expression.
• Perform the necessary operations to calculate the final result.