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Questions and Answers
What does the term 'Variable' refer to?
What does the term 'Variable' refer to?
- Terms with the same variables raised to the same exponents.
- A symbol/letter used to represent a quantity that can change. (correct)
- A mathematical statement that two expressions are equivalent/equal.
- To rewrite an expression in a way that is equivalent.
What is an Expression?
What is an Expression?
A statement having numbers, variables, and/or operation symbols grouped together without an equal/inequality sign to show a relationship.
Define an Equation.
Define an Equation.
A mathematical statement that two expressions are equivalent/equal.
What are Like Terms?
What are Like Terms?
What does it mean to Simplify an expression?
What does it mean to Simplify an expression?
What does Evaluate mean in algebra?
What does Evaluate mean in algebra?
What does it mean to Solve an equation?
What does it mean to Solve an equation?
What does Equivalent mean in mathematics?
What does Equivalent mean in mathematics?
What is the Commutative Property?
What is the Commutative Property?
Define the Distributive Property.
Define the Distributive Property.
What are Literal Equations?
What are Literal Equations?
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Study Notes
Algebraic Models and Functions Vocabulary
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Variable: Represents a quantity that can change, typically denoted by a symbol or letter.
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Expression: A combination of numbers, variables, and operation symbols that does not equate to anything; it shows relationships without an equals or inequality sign.
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Equation: A mathematical statement asserting the equivalence of two expressions.
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Like Terms: Terms in an expression that share the same variables raised to identical exponents, allowing for simplification.
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Simplify: The process of rewriting an expression to reduce its complexity while retaining equivalence.
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Evaluate: Determining the value of an algebraic expression by substituting numbers for variables and applying the order of operations.
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Solve: Finding the value of a variable that satisfies an equation or inequality, often by isolating the variable.
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Equivalent: Describes expressions, numbers, or functions that, despite differing forms, hold equal value or meaning.
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Commutative Property: Allows for the swapping of numbers in addition or multiplication without affecting the result (a + b = b + a and a × b = b × a).
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Distributive Property: States that multiplying a number by the sum of two others can be distributed to each term (a(b + c) = ab + ac).
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Literal Equations: Equations involving two or more variables where solving typically requires rearranging terms with opposite operations to isolate the target variable.
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