Algebra I: Defined Terms Flashcards

Questions and Answers

What is a mathematical quantity?

A fixed number

A type of variable quantity

Anything that can be measured or counted (correct)

A value that cannot be measured

What is a variable in algebra?

A symbol that represents the value of a variable quantity.

What is an algebraic expression?

A numerical operation

A mathematical phrase including only numbers

A fixed quantity

A phrase that is mathematically based including one or more variables (correct)

What does a numerical expression include?

Numbers and operations but no variables. Signup and view all the answers

What does 'power' refer to in Algebra?

How many times a number is multiplied by itself. Signup and view all the answers

What is the base in a power expression?

The number being multiplied by itself. Signup and view all the answers

What does the exponent indicate?

How many times to use the base as a factor. Signup and view all the answers

What does it mean to simplify a numerical expression?

Replacing it with its single numerical value. Signup and view all the answers

What are the rules of the Order of Operations?

Rules to determine the proper order to simplify or evaluate an expression. Signup and view all the answers

What does PEMDAS stand for?

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction Signup and view all the answers

What does it mean to evaluate an algebraic expression?

Replacing the variable with a given quantity. Signup and view all the answers

What is a square root?

A number x that satisfies x² = y. Signup and view all the answers

What is the principal square root?

The nonnegative square root indicated by the radical symbol √x. Signup and view all the answers

What is a radicand?

The expression under the radical symbol. Signup and view all the answers

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.