Questions and Answers
What are numerical expressions comprised of?
What do exponents represent?
Repeated factors in multiplication
What is a base in mathematics?
The number attached to an exponent
What are algebraic expressions?
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What is the order of operations?
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What is a variable?
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How do you evaluate an algebraic expression?
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What is a mathematical model?
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What are terms in algebra?
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What is a coefficient?
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What are like terms?
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What are constants in algebra?
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Study Notes
Numerical Expressions
- Composed of numbers, operations (addition, subtraction, etc.), and grouping symbols (parentheses).
Exponents
- Notation representing repeated multiplication of a number by itself.
Base
- The number associated with an exponent; negative only if explicitly indicated within parentheses.
Algebraic Expressions
- Combinations of numbers, variables, and operations, allowing algebraic manipulation.
Order of Operations
- Follow the sequence: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right).
Variable
- A letter symbol that denotes one or more numerical values; can be substituted based on its specific value.
Evaluating an Algebraic Expression
- Involves writing the expression, substituting values for variables, and simplifying the result.
Mathematical Model
- An expression or equation that represents a real-world scenario or situation.
Terms
- Individual components in an expression, such as 2x or 3, which can be combined through addition or subtraction.
Coefficient
- The numerical factor that is multiplied by the variable in a term.
Like Terms
- Terms that have identical variable parts, allowing for simplification through addition or subtraction.
Constants
- Specific fixed values, such as -5 or 3, that do not change.
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Description
Test your knowledge of key concepts in Algebraic Expressions and Models with this set of flashcards. From understanding numerical expressions to the role of exponents and bases, this quiz covers essential definitions that form the foundation of algebra. Perfect for students looking to reinforce their grasp on these concepts.