Identify the numerical coefficient, the variable,
and the constant term in each algebraic expression.
a) 3x  2 b) 5n c) w  3 d) 2p  4

Let's break down each expression:

**a) 3x + 2**
- **Numerical coefficient**: The numerical coefficient is the number multiplied by the variable. In this case, it's **3** (the coefficient of \( x \)).
- **Variable**: The variable is the letter that represents a number that can vary. Here, it's **x**.
- **Constant term**: The constant term is the number without a variable. In this case, it's **2**.

**b) 5n**
- **Numerical coefficient**: The numerical coefficient is **5** (the coefficient of \( n \)).
- **Variable**: The variable is **n**.
- **Constant term**: There is no constant term in this expression.

**c) w + 3**
- **Numerical coefficient**: The numerical coefficient is **1** (because the variable \( w \) has an implied coefficient of 1).
- **Variable**: The variable is **w**.
- **Constant term**: The constant term is **3**.

**d) 2p - 4**
- **Numerical coefficient**: The numerical coefficient is **2** (the coefficient of \( p \)).
- **Variable**: The variable is **p**.
- **Constant term**: The constant term is **-4**.

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Would you like further details on any of these? Or do you have any other questions?

### Related Questions:
1. What is the difference between a coefficient and a constant term?
2. How do you identify the degree of a polynomial from its terms?
3. What happens if there is no constant term in an expression?
4. Can an expression have more than one variable?
5. How do you simplify algebraic expressions with multiple variables?

**Tip**: Always remember, the coefficient is the number in front of the variable, the constant term is the number without a variable, and the variable is the letter that represents an unknown value.

Identify the numerical coefficient, the variable, and the constant term in each algebraic expression.
a) 3x + 2
b) 5n
c) w + 3
d) 2p - 4

Learn how to identify the numerical coefficient, variable, and constant term in basic algebraic expressions. This tutorial breaks down the algebraic expressions 3x + 2, 5n, w + 3, and 2p - 4, making it easier for students in Grades 6-8 to understand these essential concepts in algebra.

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