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

Flashcards

Absolute Value

The distance a number is from zero on a number line.

Acute Angle

An angle measuring less than 90 degrees.

Acute Triangle

A triangle with three acute angles.

Additive Identity Property

Adding zero to any number doesn't change it.

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Additive Inverse

The opposite of a number.

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Associative Property

Grouping doesn't change the sum or product.

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Adjacent Angles

Share a vertex and a common side, but don't overlap.

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Complementary Angles

Two angles whose sum is 90 degrees.

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Isosceles Triangle

Triangle with at least two equal sides.

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Altitude (Height)

Perpendicular segment from base to top.

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Chord

A segment with endpoints on a circle.

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Cylinder

Two parallel circular bases and a curved surface.

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Algebraic Expression

Combination of numbers, variables, and operations.

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Equation

Two expressions equal to each other.

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Coordinate Plane

Intersection of a horizontal and vertical number line.

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Box-and-Whisker Plot

Visual representation of data using median and quartiles.

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Line Graph

Visualizes changes in data over time.

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Dependent Variable

Its value relies on another variable.

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Independent Variable

Variable whose value influences others.

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Function

Relationship where each input corresponds to one output.

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Mean

Average of data values.

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Median

Middle value in a sorted data set.

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Mode

Most frequent value(s) in a data set.

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Interquartile Range

Difference between upper and lower quartiles.

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Measures of Central Tendency

Mean, median, and mode.

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Measures of Variation

Describe how data is spread.

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Transformation

Changes the position of a figure.

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Line of Symmetry

Divides a figure into two mirror halves.

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Negative Correlation

One variable increases, the other decreases.

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Misleading Graphs

Graphs that are inaccurate or misleading.

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Rational vs. Irrational Numbers

Rational numbers can be expressed as fractions, irrational cannot.

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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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