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Algebraic terms

Algebraic terms

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Explainer Video

Tutor: Meera

Summary

Algebraic terms

​​In a nutshell

Algebra uses a combination of letters and numbers to derive expressions called terms. This is useful, as it can help find unknown quantities. In maths, when you have an unknown quantity, start by giving it a letter, before using it in an expression, equation or a formula.



Terms

Terms are a combination of numbers and letters. The number indicates how many times you count the unknown quantity, which is often described by a letter.


Note: You can put a multiplication sign between the number and the letter, but it can also be omitted.


Examples

​2×x=2x 8×t=8t −5×y=−5y 3×n×n=3n22\times x=2x\\ \ \\8\times t=8t\\ \ \\-5\times y=-5y\\ \ \\3\times n \times n=3n^22×x=2x 8×t=8t −5×y=−5y 3×n×n=3n2​​



Expressions

An expression is a string of terms separated by a +++ or −-−.

​​

Examples
​2x+2y2x+2y2x+2y​​
​a−2ba-2ba−2b​​
​x2−4x+4x^2-4x+4x2−4x+4​​
​xy+x2+3y+1xy+x^2+3y+1xy+x2+3y+1​​



Simplifying expressions

Expressions can be simplified by adding or subtracting various terms.


Note: In order to be combined, two terms should be made of the same letter or same combination of letters.


Examples

​5x+5x=9x 7y−3y=4y p+p+2p=4p5x+5x=9x\\ \ \\7y-3y=4y\\ \ \\p+p+2p=4p5x+5x=9x 7y−3y=4y p+p+2p=4p​​


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FAQs - Frequently Asked Questions

What is an expression?

An expression is a string of terms, usually separated by addition or subtraction. For example, 2x +3y.

What is a variable?

A variable is an unknown quantity. We can name it with a letter, e.g. 'x', and then use it in calculations.

What are terms in algebra?

A term is usually a combination of numbers and letters, e.g. 2x. Once we have a term, it can be used in an expression, equation or formula to help us find unknown quantities.

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