UNDERSTAND · PRACTISE · REVIEW
A function assigns an output to each allowed input. Substitute carefully and use brackets when an input is negative. Distinguish the expression f(x) from the value f(4).
A worked example
Try this learning routine
- Read the explanation and say the idea in your own words.
- Cover the worked answer and attempt a similar question.
- Check each step, including units or word meaning.
- 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.
If f(x) = 3x + 3, find f(1).
If f(x) = 4x + 4, find f(2).
If f(x) = 5x + 5, find f(3).
If f(x) = 6x + 6, find f(4).
If f(x) = 2x + 7, find f(5).
If f(x) = 3x + 8, find f(6).
Answers and explanations
- 6 — Substitute x = 1: 3(1) + 3 = 6.
- 12 — Substitute x = 2: 4(2) + 4 = 12.
- 20 — Substitute x = 3: 5(3) + 5 = 20.
- 30 — Substitute x = 4: 6(4) + 6 = 30.
- 17 — Substitute x = 5: 2(5) + 7 = 17.
- 26 — Substitute x = 6: 3(6) + 8 = 26.
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.