Identifying Parts of Algebraic Expressions

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?

Coefficient Signup and view all the answers

What are the terms called without a variable?

Constant Signup and view all the answers

Identify the terms, coefficients, and constants in the expression: 12 + 10c.

Terms: 12, 10c; Coefficients: 10; Constants: 12 Signup and view all the answers

Identify the terms, coefficients, and constants in the expression: 15 + 3w + 1/2.

Terms: 15, 3w, 1/2; Coefficients: 3; Constants: 15, 1/2 Signup and view all the answers

Identify the terms, coefficients, and constants in the expression: z² + 9w - 2.

Terms: z², 9w, 2; Coefficients: 9 (and 1 in front of z); Constants: 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

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.