These notes summarize the foundational concepts in Algebra 1. For practice, consider working through example problems, and utilize resources for practice worksheets and online quizzes to reinforce your understanding. Continuously practice until you feel confident in each topic!
● 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.
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