8th Grade Substitution Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the 8th Grade algebraic expressions worksheet.
8th Grade Substitution Worksheet — Level 3 — Practice Set 4 — Answers
Replace the letter with the number, then calculate. Use parentheses for negative values.
1.Find the value of 4x + 8 when x = −4
Answer: −8
- 4 × (−4) + 8
- = −16 + 8 = −8
2.If x = −6 and y = −4, find the value of −5x2 − 5y
Answer: −160
- −5 × (−6)² − 5 × (−4)
- = −180 + 20 = −160
3.If x = 5 and y = 5, find the value of −2x2 + 0
Answer: −50
- −2 × (5)² + 0 × (5)
- = −50 + 0 = −50
4.If x = 7 and y = 6, find the value of −2x2 − 3y
Answer: −116
- −2 × (7)² − 3 × (6)
- = −98 − 18 = −116
5.If x = −6 and y = 5, find the value of −5x2 + y
Answer: −175
- −5 × (−6)² + 1 × (5)
- = −180 + 5 = −175
6.If x = 9 and y = −4, find the value of −5x2 + 7y
Answer: −433
- −5 × (9)² + 7 × (−4)
- = −405 − 28 = −433
7.Find the value of 4x − 9 when x = 1
Answer: −5
- 4 × 1 − 9
- = 4 − 9 = −5
8.If x = −1 and y = 4, find the value of 3x2 + 0
Answer: 3
- 3 × (−1)² + 0 × (4)
- = 3 + 0 = 3
9.Find the value of 3x − 3 when x = −6
Answer: −21
- 3 × (−6) − 3
- = −18 − 3 = −21
10.If x = −2 and y = −4, find the value of −x2 − 7y
Answer: 24
- −1 × (−2)² − 7 × (−4)
- = −4 + 28 = 24
11.Find the value of −x − 4 when x = 1
Answer: −5
- −1 × 1 − 4
- = −1 − 4 = −5
12.If x = 7 and y = 2, find the value of −5x2 + y
Answer: −243
- −5 × (7)² + 1 × (2)
- = −245 + 2 = −243
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
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- 8th Grade Expanding Expressions (Distributive Property) Worksheet — Level 2
- 8th Grade Expanding Expressions (Distributive Property) Worksheet — Level 3