Collecting like terms with several variables
Sort x, y and constant terms before combining coefficients.
Key formulas
What this lesson covers
This lesson builds Secondary 2–3 skill in like terms multi-variable. 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 (like terms multi-variable) 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 — like terms multi-variable
Problem. Apply the method for like terms multi-variable with the numbers 7 and 4.
Solution. Identify the rule for like terms multi-variable. Substitute 7 and 4 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 / 4Warm-up on like terms multi-variable: what is 3+3?
Practice questions
- Practice 1 on like terms multi-variable: compute with the value 31.
- Practice 2 on like terms multi-variable: change the numbers and repeat the same method.
- Practice 3 on like terms multi-variable: write one sentence explaining the key rule.
- Practice 4 on like terms multi-variable: invent a similar exam-style question and solve it.
Study notes
What is the main idea of like terms multi-variable?
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.