Solve and check a linear equation

UNDERSTAND · PRACTISE · REVIEW

Treat an equation as a balance. Apply the same operation to both sides and write one clear step at a time. Checking by substitution is part of the solution.

A worked example

Try this learning routine

1. Read the explanation and say the idea in your own words.
2. Cover the worked answer and attempt a similar question.
3. Check each step, including units or word meaning.
4. Record one mistake and retry a new example later.

Independent practice

Choose one answer for each question and write a reason. These are foundation activities, not a complete board examination.

1. Solve 3x + 9 = 12.

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2. Solve 4x + 10 = 18.

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3. Solve 5x + 11 = 26.

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4. Solve 6x + 12 = 36.

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5. Solve 7x + 13 = 48.

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6. Solve 8x + 14 = 62.

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Your next step

Use the same idea in a fresh example. Bring the method and your questions to a discussion with TRICEF, rather than relying on a score alone.

Original TRICEF Academy practice material. Not an official board paper. Open the answer section before printing if you want the answer key included.