Questions and Answers
What is a variable?
What is an algebraic expression?
A mathematical phrase involving at least one variable and sometimes numbers and operation symbols.
What does an exponent indicate?
The number of times a quantity is multiplied by itself.
What are natural numbers?
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What defines whole numbers?
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What are integers?
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What are rational numbers?
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What defines irrational numbers?
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What is an inequality?
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What does absolute value represent?
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What is a coordinate plane?
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What is an ordered pair?
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What is the midpoint?
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What does domain refer to?
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What is range in terms of a function?
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What is a dependent value?
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What is an independent value?
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What is a scatter plot?
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What is positive correlation?
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What is negative correlation?
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What is a trend line?
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What is mean?
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What is the median?
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What is mode?
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What is a stem and leaf plot?
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What is additive inverse?
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What is reciprocal?
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What is coefficient?
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What is probability?
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What is theoretical probability?
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What are odds?
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What is a literal equation?
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What is a ratio?
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What is a proportion?
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What is dilation?
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What is scale factor?
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What are consecutive integers?
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What is greatest possible error?
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Study Notes
Key Algebra 1 Terms
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Variable: A symbol (e.g., x or y) representing a variable quantity in mathematical expressions.
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Algebraic Expression: Involves at least one variable, could include numbers and operation symbols.
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Exponent: Indicates how many times a quantity is multiplied by itself.
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Natural Numbers: The set {1, 2, 3, 4, ...}, also known as counting numbers.
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Whole Numbers: Includes all natural numbers plus zero; the set {0, 1, 2, 3, ...}.
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Integers: Comprises all whole numbers, including positive, negative, and zero.
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Rational Numbers: Numbers expressible as fractions, includes terminating/repeating decimals and integers.
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Irrational Numbers: Cannot be represented as a ratio of two integers; their decimal forms are nonending and nonrepeating.
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Inequality: Compares two quantities using symbols such as <, ≤, ≥, or ≠.
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Absolute Value: Represents the distance of a number from zero on the number line.
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Coordinate Plane: Divided into four quadrants by the x-axis (horizontal) and y-axis (vertical).
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Ordered Pair: A pair of numbers (x, y) used to locate a point in a coordinate plane.
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Midpoint: The point exactly halfway between two endpoints of a segment.
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Domain: The set of possible values for the independent variable in a function.
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Range: Represents the possible outputs or values a function can take.
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Dependent Value: The value of y in a function, which varies based on x.
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Independent Value: The value of x in a function, which determines y.
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Scatter Plot: A graph representing points to show potential relationships between two data sets.
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Positive Correlation: Indicates that an increase in one variable leads to an increase in another variable.
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Negative Correlation: Shows that an increase in one variable is associated with a decrease in another.
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Trend Line: A line that approximates the relationship between data sets in a scatter plot.
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Mean: The average value computed by adding a set of numbers and dividing by the count.
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Median: The middle value in a data set, with half of the values above and below it.
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Mode: The most frequently occurring number in a data set.
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Stem and Leaf Plot: A data representation method that organizes numbers by their place values, separating stems from leaves.
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Additive Inverse: A number that, when added to its pair, results in zero.
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Reciprocal: A number that, when multiplied with its pair, yields one (e.g., the reciprocal of 2/3 is 3/2).
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Coefficient: The numerical factor accompanying a variable in a term.
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Probability: The chance or likelihood of a specific event occurring.
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Theoretical Probability: The ratio of the number of favorable outcomes to the total number of outcomes based on mathematical reasoning.
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Odds: Ratio of the number of ways an event can occur versus the number of ways it cannot.
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Literal Equation: An equation that includes two or more variables.
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Ratio: A comparative relationship between two numbers expressed as a division (a/b).
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Proportion: An equality stating that two ratios are equivalent.
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Dilation: A transformation that changes an object's size while maintaining its shape.
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Scale Factor: The ratio used to enlarge or reduce similar figures.
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Consecutive Integers: A sequence of integers that differ by one.
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Greatest Possible Error: One-half of the unit of measurement for any given measurement.
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Test your knowledge of key algebraic terms with these flashcards. Each card provides a definition for important concepts such as variables and algebraic expressions. Perfect for Algebra 1 students looking to reinforce their understanding.