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Questions and Answers
What is the domain?
What is the domain?
What is an empty set?
What is an empty set?
The set with no elements, also known as the null set.
Define an equation.
Define an equation.
A statement formed by placing an equals symbol between two numerical or variable expressions.
What does it mean to evaluate an expression?
What does it mean to evaluate an expression?
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What is a formula?
What is a formula?
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What is an expression in mathematics?
What is an expression in mathematics?
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What are grouping symbols?
What are grouping symbols?
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What is a numerical expression?
What is a numerical expression?
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What is an open sentence?
What is an open sentence?
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What is the order of operations?
What is the order of operations?
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What is a replacement set?
What is a replacement set?
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Define a set.
Define a set.
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What are the sides of an equation?
What are the sides of an equation?
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What does simplifying an expression mean?
What does simplifying an expression mean?
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What is a solution of an equation?
What is a solution of an equation?
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What is a solution set?
What is a solution set?
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Define the term variable.
Define the term variable.
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What is a variable expression?
What is a variable expression?
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Study Notes
Algebra Basics
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Domain: Represents all possible values a variable can take, essential in defining functions.
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Empty Set: Also known as the null set, it contains no elements and is denoted by the symbol ∅.
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Equation: A mathematical statement indicating equality, formed by linking two expressions with an equals sign.
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Evaluate: The process of determining the numerical value of an expression by substituting variables with specific numbers.
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Formula: A structured equation that expresses a particular relationship between different quantities.
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Expression: Comprises numbers, operation signs (addition, subtraction, multiplication, division), and may include grouping symbols like parentheses or brackets.
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Grouping Symbols: Tools such as parentheses (()), brackets ([]), and fraction bars that dictate the order of operations in expressions.
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Numerical Expression: Represents a single number using numerals and arithmetical operations.
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Open Sentence: A mathematical statement containing one or more variables, which requires specific values to evaluate its truthfulness.
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Order of Operations: A guideline that dictates the sequence for performing operations in mathematical expressions to ensure consistency, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
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Replacement Set: A collection of values assigned as potential solutions for an open sentence, used to determine truthfulness.
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Set: A systematic compilation of distinct items or elements, typically denoted by curly braces {}.
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Sides of an Equation: The expressions found on either side of the equals sign; crucial for solving equations.
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Simplifying an Expression: Involves transforming a complex expression into a simpler form with less complexity, reducing the number of terms.
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Solution of an Equation: Any variable value that satisfies an open sentence, making it true.
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Solution Set: The complete collection of all valid solutions that satisfy a particular open sentence or equation.
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Variable: A symbolic representation (like x or y) used to denote one or more unknown numerical values.
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Variable Expression: An expression that includes at least one variable, allowing it to represent a range of values.
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Description
Test your knowledge of basic algebra concepts with these flashcards. Each card presents a key term along with its definition, covering essential vocabulary like domain, empty set, equation, and more. Perfect for beginners looking to strengthen their understanding of algebra fundamentals.
