Year 10 Substitution Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.
Year 10 Substitution Worksheet — Level 3 — Answers
Replace the letter with the number, then calculate. Use brackets for negative values.
1.Find the value of −3x + 3 when x = 2
Answer: −3
- −3 × 2 + 3
- = −6 + 3 = −3
2.Find the value of −2x − 6 when x = 9
Answer: −24
- −2 × 9 − 6
- = −18 − 6 = −24
3.If x = 6 and y = 6, find the value of 4x2 + 3y
Answer: 162
- 4 × (6)² + 3 × (6)
- = 144 + 18 = 162
4.If x = 1 and y = −1, find the value of 2x2 − 7y
Answer: 9
- 2 × (1)² − 7 × (−1)
- = 2 + 7 = 9
5.Find the value of −3x + 7 when x = 2
Answer: 1
- −3 × 2 + 7
- = −6 + 7 = 1
6.Find the value of −3x − 3 when x = 6
Answer: −21
- −3 × 6 − 3
- = −18 − 3 = −21
7.Find the value of x + 6 when x = 7
Answer: 13
- 1 × 7 + 6
- = 7 + 6 = 13
8.Find the value of 3x − 5 when x = 3
Answer: 4
- 3 × 3 − 5
- = 9 − 5 = 4
9.Find the value of 2x + 3 when x = −3
Answer: −3
- 2 × (−3) + 3
- = −6 + 3 = −3
10.Find the value of 6x − 8 when x = 6
Answer: 28
- 6 × 6 − 8
- = 36 − 8 = 28
11.If x = 9 and y = 3, find the value of 5x2 − 4y
Answer: 393
- 5 × (9)² − 4 × (3)
- = 405 − 12 = 393
12.If x = −3 and y = 1, find the value of 7x2 + 0
Answer: 63
- 7 × (−3)² + 0 × (1)
- = 63 + 0 = 63
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.