Pre-Algebra Vocabulary Quiz

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Questions and Answers

What are inverse operations?

  • Operations that do the exact opposite of each other (correct)
  • Operations that multiply numbers
  • Operations that add numbers
  • Operations that ignore variables

What are like terms?

  • Expressions that contain the same variables to the same power (correct)
  • Expressions that contain different variables
  • Number operations
  • Terms that do not involve variables

What are terms?

The parts of an expression that are added together.

What is a coefficient?

<p>The numerical factor of a term that contains a variable.</p> Signup and view all the answers

What is a constant?

<p>A term that does not contain a variable.</p> Signup and view all the answers

What are two-step equations?

<p>Equations that contain two operations (C)</p> Signup and view all the answers

What are variables?

<p>Symbols used to represent unspecified numbers or values.</p> Signup and view all the answers

What are commutative properties?

<p>In multiplication or addition, the order of two numbers may be switched and the answer remains the same.</p> Signup and view all the answers

What are associative properties?

<p>The way numbers are grouped does not matter when adding or multiplying.</p> Signup and view all the answers

What is the identity property?

<p>The sum of 0 and any number is the number; the product of 1 and any number is the number.</p> Signup and view all the answers

What is the multiplicative identity?

<p>Any number times one equals that number.</p> Signup and view all the answers

What is the additive identity?

<p>a + 0 = a.</p> Signup and view all the answers

What is area?

<p>The number of square units needed to cover a surface.</p> Signup and view all the answers

What is perimeter?

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

What does it mean for lines to be parallel?

<p>Lying in the same direction and always the same distance apart.</p> Signup and view all the answers

What does it mean for lines to be perpendicular?

<p>Intersecting at or forming right angles.</p> Signup and view all the answers

What is altitude?

<p>The perpendicular distance from the base of a geometric figure to the opposite vertex.</p> Signup and view all the answers

What is the 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 number in a set of numbers that are listed in order.</p> Signup and view all the answers

What is the mode?

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

What is range?

<p>The difference between the greatest and least numbers in a set of data.</p> Signup and view all the answers

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Study Notes

Pre-Algebra Concepts

  • Inverse Operations: Operations that reverse each other, such as addition and subtraction.
  • Like Terms: These are expressions that share the same variables raised to the same powers, which can be combined during simplification.
  • Terms: Individual components of an expression that are added together, contributing to the overall value.
  • Coefficient: The numerical factor that multiplies a variable in a term, indicating how many units of the variable are present.
  • Constant: A term that holds a fixed value and does not incorporate any variables.

Expression Simplification

  • Simplifying Variable Expressions: The process of combining like terms and reducing expressions to their simplest form for clearer understanding.

Equations

  • Two-step Equations: These equations require two operations to solve, involving more than one mathematical operation.

Variables

  • Variables: Symbols, often letters, that represent numbers or values that are not specified, allowing for generalized mathematical expressions.

Mathematical Properties

  • Commutative Properties: In addition and multiplication, the order of numbers does not affect the result (e.g., a + b = b + a).
  • Associative Properties: The grouping of numbers does not change the outcome in addition or multiplication (e.g., (a + b) + c = a + (b + c)).
  • Identity Property: The identity for addition is 0 (a + 0 = a) and for multiplication is 1 (N × 1 = N).
  • Multiplicative Identity: Multiplying any number by one returns the original number.
  • Additive Identity: Adding zero to any number retains the original number.

Geometric Measurements

  • Area: The total number of square units required to completely cover a surface.
  • Perimeter: The total distance surrounding a geometric figure, calculated by adding the lengths of all sides.
  • Parallel Lines: Lines that run in the same direction and remain equidistant from each other.
  • Perpendicular Lines: Lines that intersect forming right angles (90 degrees).
  • Altitude: The height measured perpendicularly from the base of a geometric figure to its apex or opposite side.

Data Analysis

  • Mean: The average value calculated by adding a set of numbers and then dividing by the quantity of those numbers.
  • Median: The middle value found in a sorted list of numbers, providing a measure of central tendency.
  • Mode: The value that appears most frequently within a data set, indicating the most common occurrence.
  • Range: The measure of variability calculated by subtracting the smallest number from the largest in a data set.

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