Algebra 1 - Evaluate Expressions Flashcards

Study Notes

Key Algebraic Concepts

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.

Solutions and Numbers

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.

Number Types

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.

Operations and Relationships

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.

Description

Test your knowledge of essential algebraic concepts with these flashcards. Learn about variables, algebraic expressions, equations, and inequalities to strengthen your algebra skills. Perfect for Algebra 1 students preparing for exams!