Term in Maths definition
A term in maths is a single part of an expression. Terms are usually separated by plus or minus signs. For example, in the expression 3x plus 5, there are two terms: 3x and 5. In the expression 4a minus 2b plus 7, the terms are 4a, negative 2b and 7. Understanding terms is important because algebra is built from expressions made of terms.
A term can be a number, a variable, or a number multiplied by a variable. A number on its own is called a constant term. For example, in 2x plus 9, the term 9 is a constant. The term 2x contains a coefficient and a variable. The coefficient is the number multiplying the variable, so in 2x the coefficient is 2 and the variable is x.
Terms are used in algebra, expressions, equations, formulae, sequences, functions, graphs, expanding brackets, factorisation and problem solving. At GCSE level, students identify terms, collect like terms, substitute values into terms, expand expressions and factorise expressions. At A-Level, terms continue to appear in polynomials, functions, series, calculus, binomial expansion and algebraic proof.
Like terms are terms that have the same variable part. For example, 3x and 5x are like terms because they both contain x. They can be collected to make 8x. The terms 4a and 4b are not like terms because one contains a and the other contains b. The terms x squared and x are also not like terms because the powers are different.
Signs are part of terms. In the expression 6x minus 4 plus 2y, the term after the minus sign is negative 4, not just 4. This matters when simplifying or rearranging expressions. Students often make mistakes when they ignore the sign in front of a term. A good habit is to read each term together with the sign immediately before it.
Terms can also appear inside brackets. For example, in 3 multiplied by x plus 4 in brackets, the expression inside the brackets has two terms: x and 4. When expanding brackets, each term inside the brackets must be multiplied correctly. When factorising, terms are rewritten as a product of factors. This shows how terms connect with many other algebra skills.
A term is different from an expression. A term is one part, while an expression can contain several terms. For example, 5x is one term, but 5x plus 3 is an expression with two terms. An equation is different again because it has an equals sign. Knowing the difference between term, expression and equation helps students use algebra vocabulary accurately.
Related ideas include expression, equation, coefficient, constant, variable, like terms, collecting terms, expanding brackets and factorisation. A clear definition of term in maths helps students break algebra into manageable parts. In exams, identify the terms carefully, keep their signs attached and collect only like terms. This makes simplifying expressions and solving equations much more reliable.