Decide whether an equality is true for all values or only some values.

Key formulas

Identity:true for all admissible valuesIdentity: \text{true for all admissible values}

What this lesson covers

This lesson builds Secondary 2–3 skill in identity vs equation. Read the key formulas, study the worked example, then attempt the written practice and the four-question MCQ review.

Method

Write every step. Name the rule you use (identity vs equation) before substituting numbers. Keep units and signs visible until the final sentence.

Common mistakes

Students often rush the sign, use the wrong percentage base, or cancel terms instead of factors. Pause after each line and ask whether the step is reversible.

Exam habit

Underline the question verb (simplify, solve, factorise, find). Box the final answer and, where sensible, substitute back for a quick check.

Worked example

Worked example — identity vs equation

Problem. Apply the method for identity vs equation with the numbers 5 and 6.

Solution. Identify the rule for identity vs equation. Substitute 5 and 6 carefully with signs in brackets if needed. Complete each operation on a new line. State the final answer clearly and check by reversing one step.

Review quiz

1 / 4

Warm-up on identity vs equation: what is 6+3?

Practice questions

  1. Practice 1 on identity vs equation: compute with the value 41.
  2. Practice 2 on identity vs equation: change the numbers and repeat the same method.
  3. Practice 3 on identity vs equation: write one sentence explaining the key rule.
  4. Practice 4 on identity vs equation: invent a similar exam-style question and solve it.

Study notes

What is the main idea of identity vs equation?

Apply the stated formula or rule with clear steps, then check by reversing or substituting.

How should I revise this topic?

Cover the worked example, redo the practice without notes, then complete the MCQ set and log any wrong options.

More in Algebraic Manipulation