Algebraic Expressions and Models 1.2

Questions and Answers

What are numerical expressions comprised of?

Numbers and operations

Only numbers

Operations and grouping symbols

Numbers, operations, and grouping symbols (correct)

What do exponents represent?

Repeated factors in multiplication

What is a base in mathematics?

The number attached to an exponent

What are algebraic expressions?

Expressions involving variables Signup and view all the answers

What is the order of operations?

Parentheses, exponents, multiplication and division left to right, addition and subtraction left to right Signup and view all the answers

What is a variable?

A letter used to represent one or more numbers Signup and view all the answers

How do you evaluate an algebraic expression?

Write the expression, substitute for variable values, simplify Signup and view all the answers

What is a mathematical model?

An expression that represents a real-life situation Signup and view all the answers

What are terms in algebra?

Parts of an expression like 2x, 3 Signup and view all the answers

What is a coefficient?

A number attached to a variable Signup and view all the answers

What are like terms?

Terms that have the same variable raised to the same power Signup and view all the answers

What are constants in algebra?

Fixed values like -5, 3 Signup and view all the answers

Study Notes

Numerical Expressions

Composed of numbers, operations (addition, subtraction, etc.), and grouping symbols (parentheses).

Exponents

Notation representing repeated multiplication of a number by itself.

Base

The number associated with an exponent; negative only if explicitly indicated within parentheses.

Algebraic Expressions

Combinations of numbers, variables, and operations, allowing algebraic manipulation.

Order of Operations

Follow the sequence: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right).

Variable

A letter symbol that denotes one or more numerical values; can be substituted based on its specific value.

Evaluating an Algebraic Expression

Involves writing the expression, substituting values for variables, and simplifying the result.

Mathematical Model

An expression or equation that represents a real-world scenario or situation.

Terms

Individual components in an expression, such as 2x or 3, which can be combined through addition or subtraction.

Coefficient

The numerical factor that is multiplied by the variable in a term.

Like Terms

Terms that have identical variable parts, allowing for simplification through addition or subtraction.

Constants

Specific fixed values, such as -5 or 3, that do not change.

Description

Test your knowledge of key concepts in Algebraic Expressions and Models with this set of flashcards. From understanding numerical expressions to the role of exponents and bases, this quiz covers essential definitions that form the foundation of algebra. Perfect for students looking to reinforce their grasp on these concepts.