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Algebra 1 Terms Flashcards
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Algebra 1 Terms Flashcards

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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?

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

    What defines whole numbers?

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

    What are integers?

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

    What are rational numbers?

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

    What defines irrational numbers?

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

    What is an inequality?

    <p>A statement that compares two quantities using &lt;, ≤, ≥, or ≠.</p> Signup and view all the answers

    What does absolute value represent?

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

    What is a coordinate plane?

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

    What is an ordered pair?

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

    What is the midpoint?

    <p>The point halfway between the endpoints of a segment.</p> Signup and view all the answers

    What does domain refer to?

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

    What is range in terms of a function?

    <p>The limits of the values a function can take.</p> Signup and view all the answers

    What is a dependent value?

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

    What is an independent value?

    <p>The x value, because y depends on the x value.</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

    What is positive correlation?

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

    What is negative correlation?

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

    What is a trend line?

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

    What is 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

    What is the median?

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

    What is mode?

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

    What is a 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 additive inverse?

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

    What is reciprocal?

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

    What is coefficient?

    <p>The numerical factor when a term has a variable.</p> Signup and view all the answers

    What is probability?

    <p>The likelihood that a particular event will occur.</p> Signup and view all the answers

    What is theoretical probability?

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

    What are odds?

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

    What is a literal equation?

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

    What is a ratio?

    <p>A comparison of two numbers by division.</p> Signup and view all the answers

    What is a proportion?

    <p>An equation stating that two ratios are equal.</p> Signup and view all the answers

    What is dilation?

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

    What is scale factor?

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

    What are consecutive integers?

    <p>Integers that increase or decrease incrementally by 1.</p> Signup and view all the answers

    What is greatest possible error?

    <p>One half of the measuring unit for any measurement.</p> 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.

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