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S1 Maths: Algebraic Expressions and Substitution (Paper 4 (error clinic))
Tutor Prep Guide · substitution; brackets and powers; order of operations; simplifying first; working back to the unknown
S1 Maths: Algebraic Expressions and Substitution (Paper 4 (error clinic))
Paper 4 (error clinic): ten substitution questions on evaluating expressions, brackets and powers, simplifying before substituting, and working back to the unknown, with answers and one-line notes.
Direct answers Level: S1 maths; format: substitution, simplifying expressions, order of operations, working back from a value.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 20 |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: S1 Maths: Algebraic Expressions and Substitution |
| Level | S1 |
02 Questions (10 items)
- FoundationFind the value of 3x + 2 when x = 6.
- FoundationFind the value of 2x squared when x = 5.
- FoundationFind the value of 5 – 3x when x = 2.
- IntermediateFind the value of (x + 4) squared when x = 1.
- IntermediateFind the value of ab + c when a = 4, b = 5 and c = 6.
- IntermediateFind the value of 10 – 2(x – 1) when x = 4.
- ChallengeFind the value of x / 3 + 4 when x = 9.
- ChallengeFind the value of 2(3x – 1) when x = 2.
- ChallengeFind the value of y squared minus y when y = 6.
- Error redoError clinic: find the value of x + x + x when x = 4.
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 20. | 3 times 6 is 18 and adding 2 gives 20; do not write it as 36 + 2. |
| 2 | 50. | Square 5 to get 25, then multiply by 2; 2x squared is not the same as (2x) squared. |
| 3 | -1. | 3 times 2 is 6, and 5 minus 6 is -1. |
| 4 | 25. | The bracket gives 5 and 5 squared is 25; the square cannot be shared between the two terms. |
| 5 | 26. | ab means 4 times 5, that is 20, and adding 6 gives 26. |
| 6 | 4. | The bracket gives 3, times 2 is 6, and 10 minus 6 is 4. |
| 7 | 7. | 9 divided by 3 is 3, and adding 4 gives 7. |
| 8 | 10. | The bracket gives 5 and 5 times 2 is 10; multiplying only the 3x would wrongly give 11. |
| 9 | 30. | 36 minus 6 is 30; forgetting to subtract y would give 36. |
| 10 | 12. | Three copies of x add up to 3x, which is 12; it is not x cubed, which would be 64. |
04 What to do after marking
- After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
- Repeat the same item two days later; move to the next paper only when both attempts are correct.
- Parents only need the answer and note columns; there is no need to explain every item.
Check the answers; handle brackets and powers first, then collect like terms.Tutor Registration →
Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.