Questions and Answers
What is the absolute value?
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?
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What is an exponent?
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What is an algebraic expression?
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What is a function?
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Define independent variable.
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What are integers?
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What are irrational numbers?
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What is the mean?
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Define the order of operations.
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What is an ordered pair?
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What is the origin in a coordinate plane?
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Define positive correlation.
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What are rational numbers?
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What are real numbers?
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What is a scatter plot?
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Define stem and leaf plot.
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What is a variable?
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What is the median?
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What is mode in statistics?
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What is range?
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Define an open sentence.
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What is power in mathematics?
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What is base in power notation?
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What is additive inverse?
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What is a coefficient?
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What is the complement of an event?
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What is a constant in mathematics?
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Define deductive reasoning.
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What is a dependent variable?
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Define distributive property.
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What is an element in set theory?
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What is an event in probability?
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What is experimental probability?
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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!