Podcast Beta
Questions and Answers
What is an algebraic expression?
An expression that contains numbers, operations, and one or more symbols.
What are the parts of an algebraic expression called?
Terms
What are symbols called that represent one or more numbers?
Variable
What is the numerical factor of a term that contains a variable called?
Signup and view all the answers
What are the terms called without a variable?
Signup and view all the answers
Identify the terms, coefficients, and constants in the expression: 12 + 10c.
Signup and view all the answers
Identify the terms, coefficients, and constants in the expression: 15 + 3w + 1/2.
Signup and view all the answers
Identify the terms, coefficients, and constants in the expression: z² + 9w  2.
Signup and view all the answers
Study Notes
Algebraic Expressions
 An algebraic expression comprises numbers, operations, and one or more symbols.
 Example: 3 + 2x + 7y is an algebraic expression.
Parts of an Algebraic Expression
 Individual components of an expression are called terms.
 Terms are distinguished by addition (+) or subtraction (−) signs.
 Example: In 3 + 2x + 7y, the terms are 3, 2x, and 7y.
Variables
 Symbols that represent one or more numbers within an expression are called variables.
 Examples of variables include x and y in the expression 3 + 2x + 7y.
Coefficients
 The numerical factor associated with a variable in a term is called a coefficient.
 Example: In the expression 3 + 2x + 7y, the coefficients are 2 (for 2x) and 7 (for 7y).
Constants
 Terms without any variables are referred to as constants.
 Example: In the expression 3 + 2x + 7y, the constant is 3.
Example Breakdown

For the expression 12 + 10c:
 Terms: 12, 10c
 Coefficient: 10
 Constant: 12

For the expression 15 + 3w + 1/2:
 Terms: 15, 3w, 1/2
 Coefficient: 3
 Constants: 15, 1/2

For the expression z² + 9w  2:
 Terms: z², 9w, 2
 Coefficients: 9 (and 1 implicit before z²)
 Constant: 2
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
This flashcard quiz helps you learn about algebraic expressions and their components. You will explore definitions and examples of terms and symbols in algebra. Test your knowledge and understanding of the structure of algebraic expressions.