- Properties of Real Numbers
- Home
- Identifying Like Terms
- Combining like terms: Whole number coefficients
- Introduction to properties of addition
- Multiplying a constant and a linear monomial
- Distributive property: Whole Number coefficients
- Factoring a linear binomial
- Identifying parts in an algebraic expression
- Identifying equivalent algebraic expressions
- Introduction to properties of multiplication

# Identifying parts in an algebraic expression

An algebraic expression had different parts like, **constants**, terms, **like terms, coefficients,** and so on.

In this lesson, given an algebraic expression, we identify different parts as required.

For example, consider the following algebraic expression

6 + 4a + 9a + 10b

- 4a and 9a are like terms
- 6 is a constant
- 9 is a coefficient of term 9a
- 10b is a term
- 9a, 10b is a pair of unlike terms

Identify the coefficient of p^{2} in the expression:

9q + 8p − 15p^{2} – 11r

### Solution

**Step 1:**

The numeric part of a term is generally called the coefficient.

**Step 2:**

The term containing p^{2} is −15p^{2}.

So, the coefficient of p^{2} in the term is −15.

Identify the like terms in the expression:

21x − 13y − 8x + 5y

### Solution

**Step 1:**

The following are like terms because each term consists of variables, x, and a numeric coefficient.

21x, −8x

**Step 2:**

The following are like terms because each term consists of variables, y, and a numeric coefficient.

5y, −13y

Identify the constant term in the expression:

10x + 51y + 18z + 69

### Solution

**Step 1:**

In an algebraic expression, the term with no variables is called the constant.

**Step 2:**

In given expression, the constant is obviously 69.