Flashcards: Fundamentals of Algebra and Number Patterns — 18 cards

Algebra — definition?

Mathematics using symbols and letters to represent numbers.

Variable — role?

Represents a changing or unknown number.

Constant term — part?

A fixed, unchanging number in an expression.

Algebraic expression — components?

Terms combined with operations, without an equal sign.

Equal sign — symbol?

Indicates two expressions have the same value.

Equation — contains?

An equal sign showing two expressions are equal.

Like terms — criteria?

Same variable parts and exponents.

Unlike terms — difference?

Different variable parts or exponents.

Simplify — process?

Combine like terms to make an expression concise.

Group like terms — purpose?

Identify terms with the same variable parts for combining.

Using algebraic rules — includes?

Multiplying, dividing, expanding, and simplifying expressions.

Number pattern — generated by?

A specific rule producing each term in a sequence.

Sequence — ordered?

List of numbers following a pattern.

General term — formula?

Expression giving any term based on position n.

Table of values — shows?

Input-output pairs for a pattern or function.

Model number patterns — use?

Translate patterns into algebraic expressions for analysis.

Applying general rules — involves?

Substituting values into formulas to find specific terms.

Key to algebra — understanding?

Vocabulary, symbols, and rules for manipulating expressions.