Algebra Definitions Flashcards

Algebra Definitions Study Notes

• Absolute Value: Represents the distance from zero on a number line.
• Coordinates: Ordered pairs (x, y) used to identify locations on a coordinate plane.
• Domain: The complete set of possible values for the independent variable in a function.
• Equation: A statement asserting the equality of two expressions.
• Exponent: Indicates how many times a number is multiplied by itself.
• Algebraic Expression: A mathematical phrase that includes variables, numbers, and operation symbols.
• Function: A relation where each input corresponds to at least one output.
• Independent Variable: A variable unaffected by other variables; its values determine outcomes.
• Integers: Whole numbers including positive and negative values, along with zero.
• Irrational Numbers: Cannot be expressed in the form a/b (where a and b are integers, and b is not zero).
• Mean: The average calculated by dividing the total of a set of numbers by their count.
• Order of Operations: Evaluation sequence: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction (PEMDAS).
• Ordered Pair: Represents a point's position on a Cartesian plane as (x, y).
• Origin: The intersection point of the x-axis and y-axis on a coordinate plane.
• Positive Correlation: Occurs when one variable increases and so does another, indicating directionality.
• Rational Numbers: Numbers that can be expressed as fractions, including integers.
• Real Numbers: All numbers encompassing both rational and irrational types.
• Scatter Plot: Graph that displays data points to illustrate a potential relationship between two datasets.
• Stem and Leaf Plot: A method to organize data where the stem is based on the highest value and leaves reflect subsequent digits.
• Variable: A symbol (e.g., x, y) that represents a quantity that might change within a mathematical expression.
• Median: The middle value in a numerically ordered set of numbers.
• Mode: The most frequently occurring value in a data set.
• Range: The difference between the highest and lowest values in a data set.
• Open Sentence: An equation containing variables, which means it isn't definitively true or false without specific values.
• Power: Another term for exponentiation, shows how many times a number is multiplied by itself.
• Base: The initial number that is raised to a certain power.
• Additive Inverse: A number that, when added to another number, results in zero.
• Coefficient: A numeric factor multiplying a variable in an algebraic expression.
• Complement of an Event: All outcomes in a sample space that do not occur in a specified event.
• Constant: A number with a fixed value within a particular mathematical context.
• Deductive Reasoning: Drawing conclusions based on established facts, properties, or logical rules.
• Dependent Variable: The outcome variable, potentially changing in response to the independent variable.
• Distributive Property: A principle that allows multiplication to be distributed across addition, expressed as a(b + c) = ab + ac.
• Element: A fundamental part of a set or a mathematical structure.
• Event: A collection of possible outcomes in a probability context.
• Experimental Probability: Probability determined through repeated trials of an experiment.

Test your knowledge of essential algebra definitions with this flashcard quiz. Each card presents a key term along with its definition, helping you understand fundamental concepts in algebra. Perfect for students looking to reinforce their understanding!