Algebra I: Defined Terms Flashcards

Study Notes

Mathematical Terminology

A mathematical quantity can be measured or counted; includes constant and variable quantities.
A variable represents a value using a symbol, often a letter.
An algebraic expression comprises one or more variables and denotes a mathematical phrase.
A numerical expression includes numbers and operations like addition or subtraction, without any variables.

Power and Its Components

Power indicates how many times a number (base) is multiplied by itself; includes base and exponent.
The base is the number being multiplied, while the exponent specifies how many times to use the base as a factor.

Simplification and Operations

Simplifying a numerical expression involves replacing it with its single numerical value for clarity.
The order of operations (O.o.O) is crucial for determining the correct sequence to evaluate expressions.
PEMDAS serves as a mnemonic:
- P = Parentheses
- E = Exponents
- M = Multiplication
- D = Division
- A = Addition
- S = Subtraction
- Follow operations left to right as they appear.

Evaluating Expressions

To evaluate an algebraic expression, replace the variable with the given quantity.

Roots in Mathematics

A square root of a number y is a number x where x² = y; example: 6 is the square root of 36.
The principal square root, indicated by the radical symbol √, represents the nonnegative square root of a number.
The term radicand refers to the expression under the radical symbol in a square root.

Description

Test your understanding of essential algebraic terms with these flashcards. This quiz covers important definitions such as mathematical quantity, variable, and algebraic expression to strengthen your foundational knowledge in Algebra I.