Algebra Facts Terms Flashcards

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Questions and Answers

What is a monomial expression?

  • Has two terms
  • Has one term (correct)
  • Has no terms
  • Has three terms

Give an example of a monomial expression.

x, 3, 6x

What is a binomial expression?

  • Has two unlike terms combined by an addition or subtraction sign (correct)
  • Has three terms
  • Has one term
  • Has two like terms

Provide examples of binomial expressions.

<p>x + 3, a - 4, x + y</p> Signup and view all the answers

What defines a trinomial expression?

<p>Has three unlike terms combined by addition and/or subtraction signs (C)</p> Signup and view all the answers

Give examples of trinomial expressions.

<p>x + y - 3, 2x - 3y + 7, 4a - 5b + 6c</p> Signup and view all the answers

What is a polynomial expression?

<p>Has two, three, or more unlike terms combined by addition and/or subtraction signs (B)</p> Signup and view all the answers

Provide examples of polynomial expressions.

<p>x + y + z - 4, 2a + 3b + 4c + 2</p> Signup and view all the answers

Binomials and trinomials are polynomial expressions.

<p>True (A)</p> Signup and view all the answers

What is a variable?

<p>A letter used to stand for a number.</p> Signup and view all the answers

Where can a variable be a part of?

<p>An expression, equation, or inequality.</p> Signup and view all the answers

What is a term in mathematics?

<p>A mathematical expression.</p> Signup and view all the answers

How is an expression defined in mathematics?

<p>It is part of a math sentence, similar to a phrase being part of a sentence.</p> Signup and view all the answers

What is an example of a mathematical expression?

<p>All of the above (D)</p> Signup and view all the answers

How are mathematical expressions named?

<p>Based on how many terms they have.</p> Signup and view all the answers

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Study Notes

Monomial Expression

  • Defined as an expression with one term.
  • Examples include: x, 3, and 6x.

Binomial Expression

  • Comprises two unlike terms joined by addition or subtraction.
  • Examples include: x + 3, a - 4, and x + y.

Trinomial Expression

  • Consists of three unlike terms combined by addition or subtraction.
  • Examples include: x + y - 3, 2x - 3y + 7, and 4a - 5b + 6c.

Polynomial Expression

  • Contains two or more unlike terms combined by addition or subtraction.
  • Examples include: x + y + z - 4 and 2a + 3b + 4c + 2.

Relationship Between Binomials, Trinomials, and Polynomials

  • Both binomials (2 terms) and trinomials (3 terms) fall under the category of polynomial expressions.

Variable

  • A letter used to represent a number in mathematical expressions.

Variable Usage

  • Can be part of an expression, equation, or inequality.

Term

  • Represents a single mathematical expression or component within a larger math context.

Expression

  • A mathematical representation similar to a phrase in a sentence.

Examples of Mathematical Expressions

  • Common examples include: 3x, x + 5, x - 2, and x ÷ 10.

Naming Mathematical Expressions

  • Named according to the number of terms they contain.

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