Algebra Definitions Flashcards
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Algebra Definitions Flashcards

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Questions and Answers

What is the absolute value?

  • The smallest number in a set of numbers
  • The average of a set of numbers
  • The maximum value in a set of numbers
  • The distance a number is from zero on a number line (correct)
  • What are coordinates?

    Ordered pairs that identify points on a coordinate plane (x, y).

    Define domain in relation to functions.

    The set of values of the independent variable for which a function is defined.

    What is an equation?

    <p>A mathematical statement that two expressions are equal.</p> Signup and view all the answers

    What is an exponent?

    <p>A mathematical notation indicating the number of times a quantity is multiplied by itself.</p> Signup and view all the answers

    What is an algebraic expression?

    <p>A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.</p> Signup and view all the answers

    What is a function?

    <p>A mathematical relation such that each element of one set is associated with at least one element of another set.</p> Signup and view all the answers

    Define independent variable.

    <p>A variable whose values are independent of changes in the values of other variables.</p> Signup and view all the answers

    What are integers?

    <p>Whole numbers and their opposites.</p> Signup and view all the answers

    What are irrational numbers?

    <p>Numbers that cannot be expressed in the form a/b, where a and b are integers and b ≠ 0.</p> Signup and view all the answers

    What is the mean?

    <p>An average of n numbers computed by adding some function of the numbers and dividing by some function of n.</p> Signup and view all the answers

    Define the order of operations.

    <p>The order in which operations in an expression to be evaluated are carried out: 1. Parentheses, 2. Exponents, 3. Multiplication and Division, 4. Addition and Subtraction.</p> Signup and view all the answers

    What is an ordered pair?

    <p>A pair of numbers (x, y) that indicate the position of a point on a Cartesian plane.</p> Signup and view all the answers

    What is the origin in a coordinate plane?

    <p>The point of intersection of coordinate axes.</p> Signup and view all the answers

    Define positive correlation.

    <p>A correlation where as one variable increases, the other also increases, or as one decreases so does the other.</p> Signup and view all the answers

    What are rational numbers?

    <p>Any number that can be expressed as a fraction.</p> Signup and view all the answers

    What are real numbers?

    <p>The set of numbers that includes rational and irrational numbers.</p> Signup and view all the answers

    What is a scatter plot?

    <p>A graph with points plotted to show a possible relationship between two sets of data.</p> Signup and view all the answers

    Define stem and leaf plot.

    <p>A system used to condense a set of data where the greatest place value of the data forms the stem and the next greatest place value forms the leaves.</p> Signup and view all the answers

    What is a variable?

    <p>A symbol (like x or y) that is used in mathematical or logical expressions to represent a variable quantity.</p> Signup and view all the answers

    What is the median?

    <p>The middle number in a set of numbers that are listed in order.</p> Signup and view all the answers

    What is mode in statistics?

    <p>The most frequent value of a random variable.</p> Signup and view all the answers

    What is range?

    <p>Distance between the greatest and least numbers in a set of numbers.</p> Signup and view all the answers

    Define an open sentence.

    <p>An equation that contains one or more variables.</p> Signup and view all the answers

    What is power in mathematics?

    <p>A mathematical notation indicating the number of times a quantity is multiplied by itself.</p> Signup and view all the answers

    What is base in power notation?

    <p>The number that a power is raised by.</p> Signup and view all the answers

    What is additive inverse?

    <p>One of a pair of numbers whose sum is zero.</p> Signup and view all the answers

    What is a coefficient?

    <p>A number multiplied by a variable in an algebraic expression.</p> Signup and view all the answers

    What is the complement of an event?

    <p>Set of all outcomes in the sample space that are not in the event.</p> Signup and view all the answers

    What is a constant in mathematics?

    <p>A number representing a quantity assumed to have a fixed value in a specified mathematical context.</p> Signup and view all the answers

    Define deductive reasoning.

    <p>The process of using facts, properties, or rules to justify reasoning or reach valid conclusions.</p> Signup and view all the answers

    What is a dependent variable?

    <p>The outcome factor; the variable that may change in response to manipulations of the independent variable.</p> Signup and view all the answers

    Define distributive property.

    <p>A property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses.</p> Signup and view all the answers

    What is an element in set theory?

    <p>A fundamental unit of a set, representing a distinct object or value.</p> Signup and view all the answers

    What is an event in probability?

    <p>A set of possible outcomes.</p> Signup and view all the answers

    What is experimental probability?

    <p>Probability based on the repeated trials of an experiment.</p> Signup and view all the answers

    Study Notes

    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.

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    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!

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