Pre-Algebra Vocabulary Flashcards
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Questions and Answers

What is the absolute value?

  • The distance a number is from zero on a number line (correct)
  • The measure of an angle
  • The sum of two numbers
  • The highest number in a set
  • What is an acute angle?

  • An angle whose measure is more than 90 degrees
  • An angle whose measure is less than 90 degrees (correct)
  • An angle that is straight
  • An angle equal to 90 degrees
  • What defines an acute triangle?

  • A triangle with one right angle
  • A triangle with two equal sides
  • A triangle with three obtuse angles
  • A triangle with three acute angles (correct)
  • What is the additive identity property?

    <p>Any number or variable added to zero is that number or variable.</p> Signup and view all the answers

    Define the additive inverse.

    <p>The opposite of a number.</p> Signup and view all the answers

    What are adjacent angles?

    <p>Two angles that have the same vertex, share a common side, and do not overlap.</p> Signup and view all the answers

    What is an algebraic expression?

    <p>A math sentence that contains numbers, variables, and operations.</p> Signup and view all the answers

    What are alternate exterior angles?

    <p>Two angles that are formed by two lines and a transversal, lying outside the two lines, on opposite sides of the transversal.</p> Signup and view all the answers

    What are alternate interior angles?

    <p>Two angles that are formed by two lines and a transversal, lying between the two lines, on opposite sides of the transversal.</p> Signup and view all the answers

    What is the altitude (h) in geometry?

    <p>A line segment that is perpendicular to the base of the figure; also known as the height.</p> Signup and view all the answers

    Define the term 'angle of rotation.'

    <p>The degree measure of the angle through which the figure is rotated.</p> Signup and view all the answers

    What is meant by ascending order?

    <p>Arranged in order from least to greatest.</p> Signup and view all the answers

    What is the associative property?

    <p>(a+b) + c = a + (b+c) or (ab)c = a(bc); changing the grouping does not change their sum or product.</p> Signup and view all the answers

    What is bar notation?

    <p>In repeating decimals, the line or bar placed over the digits that repeat.</p> Signup and view all the answers

    What is the base in a power?

    <p>The number in a power that is being multiplied; the factor.</p> Signup and view all the answers

    What is the base of a triangle in geometry?

    <p>Any side of a triangle or parallelogram; the parallel sides of a trapezoid.</p> Signup and view all the answers

    What is the base (B) in 3D geometry?

    <p>Area of the base (b); the face of a solid for which it is named.</p> Signup and view all the answers

    What is a boundary in geometry?

    <p>A line or curve that separates the coordinate plane into regions.</p> Signup and view all the answers

    What is a box-and-whisker plot?

    <p>A diagram that summarizes data using median, upper quartile, lower quartile, and extreme values.</p> Signup and view all the answers

    What is the center of a circle?

    <p>The given point from which all points on a circle are the same distance.</p> Signup and view all the answers

    Define a chord in geometry.

    <p>A segment with its endpoints on the circle.</p> Signup and view all the answers

    What is a circle in geometry?

    <p>A set of points in a plane that are the same distance from a given point.</p> Signup and view all the answers

    What is a circle graph?

    <p>A graph used to show data as parts of a whole.</p> Signup and view all the answers

    What is the circumference (C) of a circle?

    <p>The distance around the circle.</p> Signup and view all the answers

    What is a coefficient in algebra?

    <p>The numerical factor in a term; the number in front of the variable.</p> Signup and view all the answers

    What is the commutative property?

    <p>a + b = b + a and ab = ba; changing the order does not change the sum or product.</p> Signup and view all the answers

    Define complementary angles.

    <p>Two angles whose sum measures 90 degrees.</p> Signup and view all the answers

    What are complex figures?

    <p>Figures made up of two or more shapes.</p> Signup and view all the answers

    What is a cone?

    <p>A solid with one circular base and a curved surface that connects the base to the vertex.</p> Signup and view all the answers

    What does congruent mean?

    <p>Having the same measure.</p> Signup and view all the answers

    Define congruent polygons.

    <p>Polygons with the same size and shape.</p> Signup and view all the answers

    What is a constant in mathematics?

    <p>A number without a variable.</p> Signup and view all the answers

    What is a coordinate plane?

    <p>A plane in which a horizontal number line and a vertical number line intersect at their zero points.</p> Signup and view all the answers

    What is a coordinate system?

    <p>The grid formed by the intersection of two number lines.</p> Signup and view all the answers

    What are corresponding angles?

    <p>Angles that are in the same position on different lines.</p> Signup and view all the answers

    What are corresponding parts?

    <p>The parts of similar polygons that 'match up'.</p> Signup and view all the answers

    What are cross products?

    <p>Found by multiplying the denominator of each ratio by the numerator of the other ratio.</p> Signup and view all the answers

    What is a cube root?

    <p>One of the three identical factors of a number.</p> Signup and view all the answers

    What is a cylinder?

    <p>A solid whose bases are congruent, parallel circles connected with a curved surface.</p> Signup and view all the answers

    What is data in statistics?

    <p>Numerical information gathered for statistical purposes.</p> Signup and view all the answers

    What is a dependent variable?

    <p>The variable whose value depends on the value of x.</p> Signup and view all the answers

    What is descending order?

    <p>Arranged in order from greatest to least.</p> Signup and view all the answers

    What is the diameter (d) of a circle?

    <p>The distance across the circle through the center.</p> Signup and view all the answers

    What is dilation in geometry?

    <p>A figure is enlarged or reduced.</p> Signup and view all the answers

    What is a discount?

    <p>The amount by which the regular price is reduced.</p> Signup and view all the answers

    What is the distributive property?

    <p>a(b + c) = ab + ac; a number outside the parenthesis can be multiplied to each term within the parenthesis.</p> Signup and view all the answers

    What is the domain in functions?

    <p>The set of first numbers in an ordered pair.</p> Signup and view all the answers

    What is an edge in geometry?

    <p>Intersection of faces (the lines).</p> Signup and view all the answers

    What is an equation?

    <p>A math sentence that states two quantities are equal using an equal sign.</p> Signup and view all the answers

    What defines an equilateral triangle?

    <p>A triangle with all sides congruent.</p> Signup and view all the answers

    What are equivalent expressions?

    <p>Expressions that have the same value no matter the value of the variable.</p> Signup and view all the answers

    What does it mean to evaluate an expression?

    <p>To find the value of an expression by replacing the variable with a number.</p> Signup and view all the answers

    What is an exponent?

    <p>A number that tells how many times the base is used as a factor.</p> Signup and view all the answers

    What does the term 'face' refer to in geometry?

    <p>Flat surfaces.</p> Signup and view all the answers

    What is a family of graphs?

    <p>Graphs and equations of graphs that have at least one characteristic in common.</p> Signup and view all the answers

    What is a formula in mathematics?

    <p>An equation that states a rule for the relationship between certain quantities.</p> Signup and view all the answers

    What is frequency in statistics?

    <p>How often a piece of data occurs.</p> Signup and view all the answers

    What is a function?

    <p>A relationship where one variable depends upon another.</p> Signup and view all the answers

    What is a function table?

    <p>Table organizing the input, rule, and the output of a function.</p> Signup and view all the answers

    What is a graph in mathematics?

    <p>Visual representations of data.</p> Signup and view all the answers

    What is a half-plane in graphing?

    <p>The region of the graph of an inequality on one side of a boundary.</p> Signup and view all the answers

    What is the hypotenuse of a right triangle?

    <p>The longest side of a right triangle which is opposite the right angle.</p> Signup and view all the answers

    What is an image in transformation?

    <p>The position of the figure after the transformation.</p> Signup and view all the answers

    What is an independent variable?

    <p>The variable whose value determines the value of the other variable; the value you choose.</p> Signup and view all the answers

    Define indirect measurement.

    <p>A technique that uses proportions to find a measurement.</p> Signup and view all the answers

    What is an inequality?

    <p>An open sentence that compares two quantities using less than, greater than, less than or equal to, greater than or equal to.</p> Signup and view all the answers

    What is an integer?

    <p>A positive or negative number, including zero, that does not contain a fraction or decimal.</p> Signup and view all the answers

    What is interest in finance?

    <p>The amount of money paid or earned for the use of money.</p> Signup and view all the answers

    What is the interquartile range?

    <p>The difference between the upper quartile and the lower quartile (UQ - LQ).</p> Signup and view all the answers

    What is an inverse operation?

    <p>An operation performed to 'undo' another operation; the opposite operation.</p> Signup and view all the answers

    What is an irrational number?

    <p>A number that cannot be expressed as a fraction.</p> Signup and view all the answers

    What is an isosceles triangle?

    <p>A triangle with at least two congruent sides.</p> Signup and view all the answers

    What is lateral area?

    <p>The sum of the areas of the lateral faces or the area of the curved surface of a cone.</p> Signup and view all the answers

    What are lateral faces?

    <p>The triangular sides of a pyramid.</p> Signup and view all the answers

    What are legs in a right triangle?

    <p>The sides that form the right angle.</p> Signup and view all the answers

    What are like terms in algebra?

    <p>Terms that have the same variable raised to the same power.</p> Signup and view all the answers

    What is a line graph?

    <p>A graph used to show change in data over time.</p> Signup and view all the answers

    What is a line of best fit?

    <p>A line drawn on a scatter plot to show the correlation between two sets of values.</p> Signup and view all the answers

    What is a line of symmetry?

    <p>The fold line in symmetry.</p> Signup and view all the answers

    What is line symmetry?

    <p>A figure can be folded over a line so that one half of the figure matches the other half.</p> Signup and view all the answers

    What is a linear function?

    <p>The graph of the solutions forms a straight line.</p> Signup and view all the answers

    What is the lower quartile (LQ)?

    <p>The median of the lower half of the set of data.</p> Signup and view all the answers

    What is markup?

    <p>The amount the price of an item is increased above the price the store is paid for the item.</p> Signup and view all the answers

    What is the mean in statistics?

    <p>The sum of all the data divided by the number of pieces of data; average.</p> Signup and view all the answers

    What are measures of central tendency?

    <p>Numbers or pieces of data that can represent the whole set of data.</p> Signup and view all the answers

    What are measures of variation?

    <p>Numbers used to describe the distribution of data.</p> Signup and view all the answers

    What is the median in a data set?

    <p>The middle of the data, or the mean of the two middle numbers.</p> Signup and view all the answers

    What are misleading graphs?

    <p>Graphs that are constructed incorrectly to cause confusion and can lead to false assumptions.</p> Signup and view all the answers

    What is the mode in a data set?

    <p>The number or numbers that occur the most often.</p> Signup and view all the answers

    What is the multiplicative identity property?

    <p>Any number or variable multiplied by one is that number or variable.</p> Signup and view all the answers

    What is the multiplicative inverse property?

    <p>The product of a number and its reciprocal always equals one.</p> Signup and view all the answers

    What is a multi-step equation?

    <p>Equations with more than one operation.</p> Signup and view all the answers

    What are natural numbers?

    <p>Counting numbers or all positive whole numbers beginning with 1.</p> Signup and view all the answers

    What is a negative correlation?

    <p>In a scatter plot, as x-values increase, y-values decrease.</p> Signup and view all the answers

    What is a negative exponent?

    <p>Any nonzero number to the negative power is one divided by the number to the nth power.</p> Signup and view all the answers

    What does no correlation mean?

    <p>In a scatter plot, x-values and y-values are not related.</p> Signup and view all the answers

    What is a nonlinear function?

    <p>A function that does not have a constant rate of change; therefore, the graph is not a straight line.</p> Signup and view all the answers

    What is a numerical expression?

    <p>A math sentence that contains numbers and operations.</p> Signup and view all the answers

    What is an obtuse angle?

    <p>An angle whose measure is between 90 degrees and 180 degrees.</p> Signup and view all the answers

    Study Notes

    Pre-Algebra Vocabulary Overview

    • Absolute Value: Reflects the distance of a number from zero on a number line.
    • Acute Angle: Measures less than 90 degrees.
    • Acute Triangle: Contains three angles that are all acute.

    Fundamental Properties

    • Additive Identity Property: Any number added to zero remains unchanged.
    • Additive Inverse: The opposite of a given number.
    • Associative Property: Sum or product remains the same regardless of grouping (e.g., (a + b) + c = a + (b + c)).

    Angles and Shapes

    • Adjacent Angles: Share a vertex and a common side but do not overlap.
    • Complementary Angles: The sum of angle measures equals 90 degrees.
    • Isosceles Triangle: Features at least two equal sides.

    Geometry Concepts

    • Altitude (Height): Perpendicular segment from the base of a figure.
    • Chord: A segment whose endpoints lie on a circle.
    • Cylinder: Formed by two parallel circles connected by a curved surface.

    Algebraic Expressions and Equations

    • Algebraic Expression: Combination of numbers, variables, and operations.
    • Equation: Expresses equality between two quantities.

    Graphs and Data Representation

    • Coordinate Plane: Intersecting horizontal and vertical number lines.
    • Box-and-Whisker Plot: Visualizes data using median and quartiles.
    • Line Graph: Depicts changes in data over time.

    Relationships and Functions

    • Dependent Variable: Its value is determined by another variable.
    • Independent Variable: Chosen variable whose value influences others.
    • Function: Demonstrates a relationship where one variable relies on another.

    Data Analysis

    • Mean: Average calculated by dividing the sum of data by quantity.
    • Median: The middle value of ordered data points.
    • Mode: The most frequently occurring value(s) in a data set.

    Statistical Measures

    • Interquartile Range: Difference between upper and lower quartiles.
    • Measures of Central Tendency: Represent the center of a data set (mean, median, mode).
    • Measures of Variation: Describe how data is distributed.

    Transformations and Symmetry

    • Transformation: Movement of a figure resulting in a new position.
    • Line of Symmetry: A line dividing a figure into mirrored halves.

    Miscellaneous

    • Negative Correlation: Indicates that as one variable increases, the other decreases in a scatter plot.
    • Misleading Graphs: Poorly constructed graphs that cause confusion or incorrect interpretations.
    • Rational vs. Irrational Numbers: Rational can be expressed as fractions, while irrational cannot.

    This overview highlights essential pre-algebra terminology and concepts that provide a foundational understanding for further study in mathematics.

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    Test your knowledge of essential pre-algebra vocabulary with these flashcards. Each card provides a term and its clear definition, making it easy to study key concepts in mathematics. Perfect for students looking to enhance their understanding of basic algebraic terms.

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