Algebra 1 Terms Flashcards

Questions and Answers

What is a variable?

A symbol that represents a variable quantity (correct)

A type of number

A constant value

A type of equation

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?

The set of numbers 1, 2, 3, 4,... Also called counting numbers. Signup and view all the answers

What defines whole numbers?

Natural numbers and zero; 0, 1, 2, 3... Signup and view all the answers

What are integers?

All whole numbers (both positive and negative) and zero. Signup and view all the answers

What are rational numbers?

Numbers that can be written as fractions, including terminating and repeating decimals, and integers. Signup and view all the answers

What defines irrational numbers?

Numbers that cannot be expressed as a ratio of two integers. Signup and view all the answers

What is an inequality?

A statement that compares two quantities using <, ≤, ≥, or ≠. Signup and view all the answers

What does absolute value represent?

The distance a number is from zero on a number line. Signup and view all the answers

What is a coordinate plane?

A plane divided into four regions by the x-axis and y-axis. Signup and view all the answers

What is an ordered pair?

A pair of numbers used to locate a point on a coordinate plane. Signup and view all the answers

What is the midpoint?

The point halfway between the endpoints of a segment. Signup and view all the answers

What does domain refer to?

The set of values of the independent variable for which a function is defined. Signup and view all the answers

What is range in terms of a function?

The limits of the values a function can take. Signup and view all the answers

What is a dependent value?

The y value, because it depends on the value of x. Signup and view all the answers

What is an independent value?

The x value, because y depends on the x value. Signup and view all the answers

What is a scatter plot?

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

What is positive correlation?

A relationship between variables in which one variable increases as the other variable also increases. Signup and view all the answers

What is negative correlation?

An association between increases in one variable and decreases in another. Signup and view all the answers

What is a trend line?

A line that approximates the relationship between the data sets of a scatter plot. Signup and view all the answers

What is mean?

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

What is the median?

The middle score in a distribution; half the scores are above it and half are below it. Signup and view all the answers

What is mode?

The number that occurs most often in a set of data. Signup and view all the answers

What is a stem and leaf plot?

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. Signup and view all the answers

What is additive inverse?

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

What is reciprocal?

One of a pair of numbers whose product is 1. Signup and view all the answers

What is coefficient?

The numerical factor when a term has a variable. Signup and view all the answers

What is probability?

The likelihood that a particular event will occur. Signup and view all the answers

What is theoretical probability?

Probability based on comparing the number of possible favorable outcomes to the number of total possible outcomes. Signup and view all the answers

What are odds?

The ratio of the number of ways the event can occur to the number of ways the event cannot occur. Signup and view all the answers

What is a literal equation?

An equation that contains two or more variables. Signup and view all the answers

What is a ratio?

A comparison of two numbers by division. Signup and view all the answers

What is a proportion?

An equation stating that two ratios are equal. Signup and view all the answers

What is dilation?

A transformation that changes the size of an object, but not the shape. Signup and view all the answers

What is scale factor?

The ratio used to enlarge or reduce similar figures. Signup and view all the answers

What are consecutive integers?

Integers that increase or decrease incrementally by 1. Signup and view all the answers

What is greatest possible error?

One half of the measuring unit for any measurement. Signup and view all the answers

Study Notes

Key Algebra 1 Terms

Variable: A symbol (e.g., x or y) representing a variable quantity in mathematical expressions.
Algebraic Expression: Involves at least one variable, could include numbers and operation symbols.
Exponent: Indicates how many times a quantity is multiplied by itself.
Natural Numbers: The set {1, 2, 3, 4, ...}, also known as counting numbers.
Whole Numbers: Includes all natural numbers plus zero; the set {0, 1, 2, 3, ...}.
Integers: Comprises all whole numbers, including positive, negative, and zero.
Rational Numbers: Numbers expressible as fractions, includes terminating/repeating decimals and integers.
Irrational Numbers: Cannot be represented as a ratio of two integers; their decimal forms are nonending and nonrepeating.
Inequality: Compares two quantities using symbols such as <, ≤, ≥, or ≠.
Absolute Value: Represents the distance of a number from zero on the number line.
Coordinate Plane: Divided into four quadrants by the x-axis (horizontal) and y-axis (vertical).
Ordered Pair: A pair of numbers (x, y) used to locate a point in a coordinate plane.
Midpoint: The point exactly halfway between two endpoints of a segment.
Domain: The set of possible values for the independent variable in a function.
Range: Represents the possible outputs or values a function can take.
Dependent Value: The value of y in a function, which varies based on x.
Independent Value: The value of x in a function, which determines y.
Scatter Plot: A graph representing points to show potential relationships between two data sets.
Positive Correlation: Indicates that an increase in one variable leads to an increase in another variable.
Negative Correlation: Shows that an increase in one variable is associated with a decrease in another.
Trend Line: A line that approximates the relationship between data sets in a scatter plot.
Mean: The average value computed by adding a set of numbers and dividing by the count.
Median: The middle value in a data set, with half of the values above and below it.
Mode: The most frequently occurring number in a data set.
Stem and Leaf Plot: A data representation method that organizes numbers by their place values, separating stems from leaves.
Additive Inverse: A number that, when added to its pair, results in zero.
Reciprocal: A number that, when multiplied with its pair, yields one (e.g., the reciprocal of 2/3 is 3/2).
Coefficient: The numerical factor accompanying a variable in a term.
Probability: The chance or likelihood of a specific event occurring.
Theoretical Probability: The ratio of the number of favorable outcomes to the total number of outcomes based on mathematical reasoning.
Odds: Ratio of the number of ways an event can occur versus the number of ways it cannot.
Literal Equation: An equation that includes two or more variables.
Ratio: A comparative relationship between two numbers expressed as a division (a/b).
Proportion: An equality stating that two ratios are equivalent.
Dilation: A transformation that changes an object's size while maintaining its shape.
Scale Factor: The ratio used to enlarge or reduce similar figures.
Consecutive Integers: A sequence of integers that differ by one.
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.