Algebra 1 - Evaluate Expressions Flashcards

Variable: A letter that represents one or more numbers, foundational for creating expressions and equations.
Algebraic Expression: An expression that includes at least one variable, combining constants, variables, and operations.
Equation: A mathematical statement formed by equating two expressions using the equality symbol (=).
Inequality: A mathematical statement that shows the relationship between two expressions using symbols such as <, >, ≤, or ≥.
Open Sentence: Refers to an equation or inequality containing an algebraic expression, requiring evaluation to determine its truth value.

Solution of Equation/Inequality: The specific number that satisfies the equation or inequality, making the statement valid.
Integer: A whole number that can be positive, negative, or zero, without fractional or decimal components.
Square Root: A value that, when multiplied by itself, yields the original number or perfect square.
Radicand: The number or expression located inside a radical symbol, specifically under a square root.

Perfect Square: A number that is the square of an integer, e.g., 1, 4, 9, 16.
Irrational Number: A number that cannot be expressed as a quotient of two integers, such as √2 or π.
Real Numbers: The comprehensive set that includes both rational (fractions, integers) and irrational numbers.

Inverse Operations: Two mathematical operations that counteract each other, such as addition and subtraction or multiplication and division.
Equivalent Equations: Different equations that share the same solution, indicating that they hold the same value when solved.
Reciprocal: The inverse of a number, found by swapping the numerator and denominator in a fraction, or 1 divided by the number.