Algebra 1 Notes
1. Basic Concepts
● Variables and Constants:
○ Variable: A symbol (often x, y, z) that represents an unknown
value.
○ Constant: A fixed value.
● Algebraic Expressions:
○ Combinations of variables, constants, and operations (e.g., (3x +
2)).
● Evaluating Expressions:
○ Substitute variables with numbers and perform operations.
2. Algebraic Operations
● Addition and Subtraction:
○ Combine like terms.
○ Example: (2x + 3x = 5x)
● Multiplication:
○ Distributed property: (a(b + c) = ab + ac).
○ Example: (2(x + 3) = 2x + 6)
● Division:
○ Dividing terms: ( \frac{a}{b} ) where ( b \neq 0 ).
3. Solving Equations
● Linear Equations:
○ Form: (ax + b = c)
○ Solve for (x) by isolating it on one side.
1. Basic Concepts
● Variables and Constants:
○ Variable: A symbol (often x, y, z) that represents an unknown
value.
○ Constant: A fixed value.
● Algebraic Expressions:
○ Combinations of variables, constants, and operations (e.g., (3x +
2)).
● Evaluating Expressions:
○ Substitute variables with numbers and perform operations.
2. Algebraic Operations
● Addition and Subtraction:
○ Combine like terms.
○ Example: (2x + 3x = 5x)
● Multiplication:
○ Distributed property: (a(b + c) = ab + ac).
○ Example: (2(x + 3) = 2x + 6)
● Division:
○ Dividing terms: ( \frac{a}{b} ) where ( b \neq 0 ).
3. Solving Equations
● Linear Equations:
○ Form: (ax + b = c)
○ Solve for (x) by isolating it on one side.
