Algebra Vocabulary
GCSE Mathematics📚 What is Algebra Vocabulary?
Algebra has its own special language. Understanding the key terms and vocabulary is essential for solving problems and communicating mathematical ideas effectively. Just like learning any new language, mastering algebra vocabulary is the first step to success.
🔤 Key Algebra Terms
📖 Foundational Vocabulary
Variable (click to hear)
Definition: A letter or symbol that represents an unknown number
Example: In x + 5 = 12, x is the variable
Memory Tip: Variables can "vary" or change
Constant (click to hear)
Definition: A fixed value that does not change
Example: In 2x + 7, 7 is the constant
Memory Tip: Constants stay "constant"
Coefficient (click to hear)
Definition: A number multiplied by a variable
Example: In 4y, 4 is the coefficient
Memory Tip: Co-efficient = with the variable
➗ Operation Vocabulary
Sum
Definition: The result of addition
Example: The sum of 3 and 5 is 8
Difference
Definition: The result of subtraction
Example: The difference between 10 and 4 is 6
Product
Definition: The result of multiplication
Example: The product of 3 and 4 is 12
Quotient
Definition: The result of division
Example: The quotient of 15 and 3 is 5
📊 Expression Vocabulary
Term
Definition: A single number, variable, or product of numbers and variables
Example: In 3x + 2y - 5, there are three terms
Like Terms
Definition: Terms with the same variables raised to the same powers
Example: 3x and 5x are like terms; 3x and 3y are not
Expression
Definition: A combination of terms without an equals sign
Example: 2x + 5 is an expression
⚖️ Equation Vocabulary
Equation
Definition: A statement that two expressions are equal
Example: 2x + 3 = 7 is an equation
Inequality
Definition: A statement that compares expressions using <, >, ≤, or ≥
Example: x + 2 > 5 is an inequality
Solution
Definition: The value that makes an equation true
Example: In x + 3 = 7, the solution is x = 4
✏️ Vocabulary Quiz
Match the term with its correct definition:
Loading question...
Your Score: 0/5
📝 Vocabulary in Real Sentences
How to use algebra vocabulary correctly:
✅ Correct: "Combine the like terms 3x and 5x to get 8x."
❌ Incorrect: "Add the 3x and 5x together to get 8x²."
✅ Correct: "Solve the equation 2x + 3 = 7."
❌ Incorrect: "Solve the expression 2x + 3 = 7."
✅ Correct: "The coefficient of x is 4 in the term 4x."
❌ Incorrect: "The number 4 is the variable."