MathIQO worksheet
Solve two-step equations involving integers · Grade 8 · C2.3
Name: ______________________
Date: ______________________
- 1
Solve for n: 3n + 1 = 19
Warm-upAnswer:
- 2
Solve for n: 2n + 8 = 20
Warm-upAnswer:
- 3
Solve for n: 5n − 2 = 28
Warm-upAnswer:
- 4
Solve for n: 5n − 6 = 14
On levelAnswer:
- 5
Solve for n: 5n − 3 = 7
On levelAnswer:
- 6
Solve for n: 3n − 7 = −4
On levelAnswer:
- 7
Solve for n: 2n + 4n + 2 = 8
ChallengeAnswer:
- 8
Solve for n: 4n + 4n − 6 = −14
ChallengeAnswer:
- 9
Solve for n: 3n + 2n − 4 = 16
ChallengeAnswer:
✅ Done? See how you did — check in at mathiqo.com/check-in
Worksheet code: eyJzIjoiYWxnZWJyYS1zb2x2ZS10d28tc3RlcC1pbnRlZ2VycyIsImQiOlszMDcxMzIzMzgsNTQ4ODY2Nzc1LDE1NTc0NzQyNjcsMTc1OTMxMzk2MCwxMTgwNTY0NDUyLDE1MTA0OTg3OTIsNDIyNTQ4MjM0LDY1OTgwNTg5NiwxNDQ5NTA4ODE1XSwidiI6MX0.3d53f1dda5ea
A quick 5-question check-in grades itself instantly and shows what to practise next.
Answer key · Solve two-step equations involving integers
- 1.6 — Move the constant, then divide by 3: n = (19 − 1) ÷ 3 = 6.
- 2.6 — Move the constant, then divide by 2: n = (20 − 8) ÷ 2 = 6.
- 3.6 — Move the constant, then divide by 5: n = (28 − −2) ÷ 5 = 6.
- 4.4 — Add 6, then divide by 5: n = (14 + 6) ÷ 5 = 4.
- 5.2 — Add 3, then divide by 5: n = (7 + 3) ÷ 5 = 2.
- 6.1 — Add 7, then divide by 3: n = (−4 + 7) ÷ 3 = 1.
- 7.1 — Combine like terms: 6n + 2 = 8, so n = (8 − 2) ÷ 6 = 1.
- 8.-1 — Combine like terms: 8n − 6 = −14, so n = (−14 − −6) ÷ 8 = -1.
- 9.4 — Combine like terms: 5n − 4 = 16, so n = (16 − −4) ÷ 5 = 4.