Year 7: Coefficients and Constants

Quick Reference

  • Coefficient: The number multiplied by a variable
  • Constant: A number that stands alone
  • Variable: A letter representing an unknown number

What is a Coefficient?

A coefficient is the number that multiplies a variable. It's written directly before the variable.

Examples:

  • In 3x, the coefficient is 3
  • In -2y, the coefficient is -2
  • In x (no number shown), the coefficient is 1

What is a Constant?

A constant is a number that stands alone with no variable attached. It doesn't change.

Examples:

  • In 2x + 5, the constant is 5
  • In 7a - 3, the constant is -3
  • In 9, the number itself is a constant

How to Identify Them

Step 1: Look for letters (variables) in the expression
Step 2: The number in front of each variable is its coefficient
Step 3: Any number standing alone is a constant

Warning: If you see just x with no number, the coefficient is 1, not 0!