Parts of an Expression

An algebraic expression is a combination of numbers, letters (variables), and mathematical operations such as addition, subtraction, multiplication, or division.

✅ Key Parts of an Expression

1. Term

A term is any part of the expression that is separated by a plus (+) or minus (−) sign.

Example: In the expression 3x + 4, there are two terms: 3x and 4.

2. Coefficient

A coefficient is the numerical part of a term with a variable.

Example: In 3x, the coefficient is 3.

3. Variable

A variable is a symbol (often a letter like x or y) that represents an unknown value.

Example: In 3x + 4, the variable is x.

4. Constant

A constant is a fixed value with no variable attached.

Example: In 3x + 4, the constant is 4.

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✍️ Examples

Example 1:

Expression: 7y − 2

Terms: 7y, −2

Coefficient: 7

Variable: y

Constant: −2

Example 2:

Expression: 5a + 3b − 7

Terms: 5a, 3b, −7

Coefficients: 5, 3

Variables: a, b

Constant: −7

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📝 Practice Questions

1. Identify the terms, coefficients, and constants in the expression 4x − 6.

2. In the expression 2m + 5n + 10, list all variables and constants.

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