Writing Numerical Expressions
Understanding Mathematical Operators
- Addition (+)
- Subtraction (-)
- Multiplication (* or u00d7)
- Division (/ or u00f7)
- Exponentiation (^)
- Inverse Operations
- Composite Operations
- Conditional Operators (e.g., >, <, u2265, u2264)
Variables and Constants
- Numerical Constants (e.g., 5, -2, 3.14)
- Variables (e.g., x, y, a)
- Coefficients (e.g., 4 in 4x)
- Variable Expressions
- Evaluation of Expressions
- Simplification of Expressions
Order of Operations
- Parentheses or Brackets ()
- Exponents
- Multiplication and Division (L to R)
- Addition and Subtraction (L to R)
- Nested Parentheses
- Associative Property
- Distributive Property
Translating Verbal Phrases
- Sum, Total, Increased by (Addition)
- Difference, Decreased by, Less than (Subtraction)
- Product, Times, Of (Multiplication)
- Quotient, Divided by, Per (Division)
- Power, Squared, Cubed (Exponentiation)
- Identifying Key Phrases
- Constructing Complex Expressions
- Real-World Applications
Algebraic Expressions
- Monomials (e.g., 7xu00b2)
- Binomials (e.g., x + 3)
- Polynomials (e.g., 3xu00b2 - 2x + 5)
- Factoring
- Simplification
- Expansion
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