For the expression 4x² + 3xy − 7:
a) How many terms are there?
b) What is the coefficient of x²?
c) What is the constant term?
Part a Count the terms
Terms are separated by + or −
The terms are: 4x², 3xy, and −7
Answer: 3 terms
Part b Coefficient of x²
The coefficient is the number in front
The x² term is 4x²
Answer: 4
Part c Constant term
The constant is the term with no variables
Answer: −7 (don't forget the minus!)
This study notes covers Worked Example: Identifying Parts within Algebraic Notation for GCSE Mathematics. Revise Algebraic Notation in Algebra for GCSE Mathematics with 13 exam-style questions and 4 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 5 of 7 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Practice questions for Algebraic Notation
In the expression 7x, what is the coefficient?
Explain the difference between an equation and an identity. Give one example of each.