GCSE(F),

**Terms** are the different parts of an expression. A term can be a simple number, a variable (letter), or a combination of a number and letters. For example, 25, 6*g*, 7*h* and 17*bc* are all terms.

A taxi company charges for fares at a rate of £2.50 plus £1.05 per kilometre. This can be written as an expression:

Fare in £ = 2.50 + 1.05*k*, where *k* is the number of kilometres driven.

The 2.50 and 1.05 numbers cannot be added together, because the value of 1.05k changes depending on how many kilometres are driven.

In an expression 3 + 2*x* + 7*x*^{2} + 4*y*, the 3, 2*x*, 7*x*^{2} and 4*y* are all separate terms. If the letters are different, *or have different powers*, they are different terms: *x*, *x*^{2} and *x*^{3} are all different terms.

Terms that can be added together are called **like terms**. Terms that cannot be added together are called **unlike terms**.

1. How many terms are there in this expression: 3 + 2*a* + 8*b* + 4*c(.*

Answer: 4

There are four terms: the 3 is a term (as it is a number), and each combination of number-letter is also a term.

2. Is 2*n* + 4 an expression or a term?

Answer: It is an expression, as it consists of more than one term.

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