Pre-Algebra Review Flashcards
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Questions and Answers

What is factoring?

The opposite of the distributive property.

What is the greatest common factor?

The greatest possible term that even divides another term.

What is a trinomial?

A polynomial with three terms.

What is a rational number?

<p>A number that can be written as a fraction.</p> Signup and view all the answers

What is an irrational number?

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

What is the sum?

<p>The answer to an addition problem.</p> Signup and view all the answers

What is the difference?

<p>The answer to a subtraction problem.</p> Signup and view all the answers

What is the product?

<p>The answer to a multiplication problem.</p> Signup and view all the answers

What is the quotient?

<p>The answer to a division problem.</p> Signup and view all the answers

What is a function?

<p>A relationship in which each input (x) maps to exactly one output (y).</p> Signup and view all the answers

What is the domain of a function?

<p>The possible x-values (inputs) of a function.</p> Signup and view all the answers

What is the range of a function?

<p>The possible y-values (outputs) of a function.</p> Signup and view all the answers

What is the vertical line test?

<p>If you can draw a vertical line through every part of a graph, and it only touches once, then the graph is a function.</p> Signup and view all the answers

What is a square root function?

<p>A function that contains a square root of a variable (√x).</p> Signup and view all the answers

What is an absolute value function?

<p>A function that contains an absolute value expression (|x|).</p> Signup and view all the answers

What is the difference of two squares?

<p>A binomial product of the sum and difference of the same two terms.</p> Signup and view all the answers

Study Notes

Factoring and Polynomials

  • Factoring is the reverse process of the distributive property.
  • A trinomial is defined as a polynomial consisting of three distinct terms.

Key Number Concepts

  • The Greatest Common Factor (GCF) is the largest term, including both numbers and variables, that can evenly divide another term.
  • Rational numbers can be expressed as fractions, whereas irrational numbers cannot be represented in fractional form.

Basic Arithmetic Operations

  • The sum refers to the result obtained from an addition operation.
  • The difference signifies the result from a subtraction operation.
  • The product is the outcome of a multiplication process.
  • The quotient represents the result after performing division.

Functions and Their Properties

  • A function establishes a relationship where each input (x) is associated with exactly one output (y).
  • The domain of a function is comprised of all possible input values (x-values).
  • The range consists of all potential output values (y-values).

Graphical Function Tests

  • The Vertical Line Test is a method to determine if a graph depicts a function; if any vertical line intersects the graph only once, it confirms the relationship is indeed a function.

Specialized Functions

  • A square root function incorporates the square root of a variable, expressed as √x.
  • An absolute value function features an absolute value expression, denoted as |x|.
  • The difference of two squares is represented as a binomial product formed by the sum and difference of identical terms.

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Description

Test your understanding of basic pre-algebra concepts with these flashcards. This quiz covers essential terms such as factoring, greatest common factor, and rational numbers. Perfect for students looking to reinforce their foundational math skills.

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