Term in Math – Definition, Examples, Practice Problems, FAQs
reviewed by Florence Khitsane
Updated on April 7, 2026
Terms in math is a number, known as the constant, a letter, known as the variable, or a sum of constants and variables. Terms are the building blocks of algebraic equations.
In this article, we will look into what is term in maths, why they are important, solve some equations, and answer some common questions. Let’s dive right in!
What Is An Algebraic Expression?
Math terms come together to make up an algebraic expression, so before moving forward, let’s understand what that expression is.
At its simplest, an algebraic expression is a mathematical expression that combines numbers, operations, and sometimes variables. It’s their main difference from math problems: for example, 5 + 5 is a numerical expression, while 3x + 7 is an algebraic expression because it includes a variable. You can think of an algebraic expression as the description of the value.
Terms Definition In Math
We can define term in math as numbers (also known as constants) or letters (also known as variables), a part of an expression separated by addition or subtraction signs. In the expression 3 + 5y, we have two terms: 3 and 5y.
Constants are numbers that are absolute and unchanging in an expression or equation, while variables are represented by letters and can change. They can be terms when combined (i.e, 2x), or individual (i.e, 4 or y).
Now that we’ve covered the term’s definition, let’s delve deeper into what terms are and the different elements and types of terms.
What Are The Terms In An Expression?
Math terms are any element in an expression that are numbers or letters; therefore, operations are not terms. In the expression, 8x + 4 + y, 8x, 4, and y are all the terms in the expression.
Now that we have looked into the term math definition, let’s understand its different elements and types.
What Are The Factors Of A Term?
Some terms in math, like 6x, have factors. The factors are the individual elements that make up the term. Here, the factors will be 6 and x. Factors can be separated out to simplify expressions or equations and make them easier to solve, which is important knowledge for when you come to learn about algebra.
Types Of Terms In Algebra
There are two types of terms in algebra. And to successfully simplify the expression, students need to first identify the type of term they are dealing with. The term types are:
- Like terms, which have the exact same variable raised to the exact same power, like 3x^2 and 7x^2 (3x and 7x are like terms too)
- Unlike terms, which, as you may have guessed, are the terms with different variables and raised to different powers: 5x and 3y are unlike terms, and so are 5x^2 and 5x^3. Unlike terms cannot be combined and should stay separate.
As students can perform different types of operations on the terms, understanding their differences is critical. A good tip here is to always look at the variable and the exponent first. When you notice even a tiny difference, the terms are unlike.
What Is A Coefficient In An Expression?
In expressions, coefficients are numbers that multiply variables. Not all expressions will have variables, but in the expression 9x + 3, 9 is the coefficient. This is because it is the number the variable x will be multiplied by in the expression.
Solved Examples On Term In Math
Now, we’re going to show you some solved term example problems. They come with explanations, so that you can clearly comprehend the way we solved them.
Solved Math Task 1
You have the following expression:
2x³ – 5x² + 7x – 3.
Find all of the terms, factors, and coefficients in this expression.
Answer
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Solved Math Task 2
You have the following expression:
9x + 3 x (4y + 12)
Find all of the terms math, factors, and coefficients in this expression.
Answer
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Practice Questions On The Term In Math
- Identify the terms, factors, and coefficients in the following expression: 4x²y – 3xy² + 2x – y.
- Identify the terms, factors, and coefficients in the following expression: 5x³ – 3x²y + 7x² – 8?
- Identify the terms, factors, and coefficients in the following expression: 2x⁴ – 6x³ + 9x² – 5
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Conclusion
It’s safe to say that terms in math are students’ first step towards high school math and sciences. They are the foundation of algebraic expressions, which, in their turn open the doors to the more abstract math world. When kids can identify constants, variables, and coefficients, they can easily turn even the more tricky algebraic expressions into solvable puzzles.
Frequently Asked Questions
What Is A Term In Math?
A math term is a specific feature of an equation, expression, or sum, and can be a number (constant), letter (variable), or both combined. Within a term, constants are unchanging and are represented by numbers. Variables, meanwhile, are fluid and can change, and are represented by letters.
What Are Terms In Math Examples?
Here are some examples of terms:
- Expression: 12x + 4 * (3y + 10)
- Terms: 12x, 4(3y + 10)
- Expression: 14 – 3x + (9y – 4)
- Terms: 14, 3x, 9y, 4
- Expression: 6x + 7 * 13y + 5
- Terms: 6x, 91y, 5
Each term math example shows you how to identify terms within an expression.
How To Find Terms In Math?
To find terms in math, you’ll need to identify all of the constants (numbers), variables (letters), and combinations of the two in an expression or equation. For example, in the expression 5y * 12, there is only one term.
What Is The Meaning Of The Term In The Equation?
The meaning of the term ” math in an equation is the number that will be used in an operation. These numbers can be unchanging, in which case they are represented with the absolute number, or they can be fluid, and therefore represented by letters.
Is 2x A Term In Math?
Yes, 2x is a math term. According to term definition in math, a term is a constant, a variable, or their product. 2x is a multiplication of 2, which is the coefficient, and x, which is the variable.
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