Algebraic Expressions Flashcards

Questions and Answers

What is an Algebraic Expression?

Is made up of constants and variables (correct)

Is made up of numbers only

Is only a variable

Is a type of polynomial

What are constants?

Numbers

What are variables?

Letter notations

What does simplification involve?

Bringing numbers and similar terms together Signup and view all the answers

What does it mean to evaluate an expression?

It is reduced to a number after simplification Signup and view all the answers

Which acronym stands for the Order of Operations?

EMDAS Signup and view all the answers

What is a Polynomial Expression?

Expressions made of various powers of variables multiplied by constants and joined by addition or subtraction signs Signup and view all the answers

What are terms in a polynomial?

Parts of the polynomial separated by + or - sign Signup and view all the answers

What is the coefficient of a term?

The numerical constant which appears as a factor in a term Signup and view all the answers

What is the degree of a term?

The sum of powers of all the variables in that term Signup and view all the answers

The degree of a non-zero constant term is zero.

True Signup and view all the answers

The degree of the constant term 0 is defined.

False Signup and view all the answers

What is the degree of a polynomial?

The highest degree of a term in the polynomial Signup and view all the answers

Study Notes

Algebraic Expressions

Composed of constants (numbers) and variables (letter notations).
Essential for forming equations and functions in mathematics.

Constants

Defined as numerical values that do not change.
Fundamental components in algebraic expressions.

Variables

Represented by letters and can take on different values.
Used to express general formulas and equations.

Simplification

Process of combining numbers and like terms in an expression.
Aims to make expressions easier to work with or understand.

Evaluating the Expression

Involves simplifying the expression to result in a numerical value.
Critical step in solving equations.

Order of Operations

Follow the acronym EMDAS to simplify expressions:
- E (Exponentiation)
- M (Multiplication)
- D (Division)
- A (Addition)
- S (Subtraction)

Polynomial Expressions

Made up of different powers of variables multiplied by constants.
Terms are connected by addition or subtraction operators.

Terms

Individual parts of a polynomial that are separated by "+" or "-" signs.
Each term can contain coefficients and variables.

Coefficient of the Term

Refers to the numerical factor in front of a variable in a term.
Helps determine the weight or importance of a term in polynomials.

Degree of a Term

Calculated by summing the powers of all variables present in that term.
Indicates the complexity and classification of polynomial terms.

Rule #1 for Terms

The degree of any non-zero constant term is defined as zero.
Example: The term "7" has a degree of zero.

Rule #2 for Terms

The degree of the constant term "0" is not defined.
Important to acknowledge in polynomial equations.

Degree of the Polynomial

Represents the highest degree of any term within the polynomial.
Crucial for understanding the polynomial's behavior and graphing.

Description

This quiz focuses on fundamental concepts related to algebraic expressions and polynomial expressions. It includes definitions of key terms such as constants, variables, and simplification. Perfect for students looking to reinforce their understanding of algebra.