8th Grade Substitution Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the 8th Grade algebraic expressions worksheet.
8th Grade Substitution Worksheet — Level 3 — Answers
Replace the letter with the number, then calculate. Use parentheses for negative values.
1.If x = −1 and y = 2, find the value of 2x2 − 9y
Answer: −16
- 2 × (−1)² − 9 × (2)
- = 2 − 18 = −16
2.Find the value of 8x when x = −2
Answer: −16
- 8 × (−2) + 0
- = −16 + 0 = −16
3.Find the value of 5x + 6 when x = 4
Answer: 26
- 5 × 4 + 6
- = 20 + 6 = 26
4.If x = 1 and y = −3, find the value of x2 − 9y
Answer: 28
- 1 × (1)² − 9 × (−3)
- = 1 + 27 = 28
5.Find the value of 2x + 3 when x = 2
Answer: 7
- 2 × 2 + 3
- = 4 + 3 = 7
6.Find the value of −5x + 3 when x = 8
Answer: −37
- −5 × 8 + 3
- = −40 + 3 = −37
7.If x = 8 and y = −3, find the value of 9x2 + 6y
Answer: 558
- 9 × (8)² + 6 × (−3)
- = 576 − 18 = 558
8.Find the value of −2x − 8 when x = −4
Answer: 0
- −2 × (−4) − 8
- = 8 − 8 = 0
9.Find the value of 4x − 5 when x = 4
Answer: 11
- 4 × 4 − 5
- = 16 − 5 = 11
10.Find the value of 4x + 9 when x = 5
Answer: 29
- 4 × 5 + 9
- = 20 + 9 = 29
11.If x = −2 and y = 3, find the value of −3x2 + y
Answer: −9
- −3 × (−2)² + 1 × (3)
- = −12 + 3 = −9
12.Find the value of 2x − 3 when x = 3
Answer: 3
- 2 × 3 − 3
- = 6 − 3 = 3
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.
Great work. Here's what to try next:
- 8th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1
- 8th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 (Set 2)
- 8th Grade Expanding Expressions (Distributive Property) Worksheet — Level 2
- 8th Grade Expanding Expressions (Distributive Property) Worksheet — Level 3