中文（繁體）
中文（简体）
English
S1 Maths: Algebraic Expressions and Substitution (Paper 1 (basics))
Tutor Prep Guide · substitution; brackets and powers; order of operations; simplifying first; working back to the unknown
S1 Maths: Algebraic Expressions and Substitution (Paper 1 (basics))
Paper 1 (basics): 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 + 5 when x = 4.
- FoundationFind the value of 2a – 7 when a = 6.
- FoundationFind the value of 5y when y = 8.
- IntermediateFind the value of 4x – 2y when x = 5 and y = 3.
- IntermediateFind the value of 3(a + b) when a = 7 and b = 2.
- IntermediateFind the value of x squared plus 3x when x = 3.
- ChallengeFor what value of n is the value of 2n + 3 equal to 21?
- ChallengeWhen x = 4, by how much do 3(x + 2) and 3x + 2 differ?
- ChallengeEach item costs h dollars; buying 4 items plus 30 dollars postage costs 4h + 30. How much is paid when h = 25?
- Error redoError clinic: find the value of 4x when x = 7.
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 17. | Multiply before adding: 3 times 4 is 12, then add 5 to get 17. |
| 2 | 5. | 2 times 6 is 12, then subtract 7 to get 5. |
| 3 | 40. | 5y means 5 times y, and 5 times 8 is 40. |
| 4 | 14. | 4 times 5 is 20 and 2 times 3 is 6, so the difference is 14. |
| 5 | 27. | Work out the bracket first: 7 plus 2 is 9, then multiply by 3 to get 27. |
| 6 | 18. | x squared is 3 times 3, that is 9, and 3x is also 9, so the total is 18. |
| 7 | n = 9. | Subtract 3 to get 18, then divide by 2 to get 9. |
| 8 | They differ by 4. | 3(x + 2) gives 18 and 3x + 2 gives 14, so the difference is 4. |
| 9 | 130 dollars. | 4 times 25 is 100, and adding 30 gives 130. |
| 10 | 28. | 4x means 4 times 7; writing 47 by joining the digits is the usual mistake. |
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.