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Solve two-step equations with whole numbers · Grade 7 · C2.3

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Date: ______________________

1
Solve for n: 5n + 5 = 40
Warm-up
Answer:
2
Solve for n: 5n + 9 = 29
Warm-up
Answer:
3
Solve for n: 4n + 3 = 23
Warm-up
Answer:
4
Solve for n: 2n − 4 = 2
On level
Answer:
5
Solve for n: 3n − 2 = 7
On level
Answer:
6
Solve for n: 3n − 3 = 9
On level
Answer:
7
Solve for n: 3n + 2n + 2 = 37
Challenge
Answer:
8
Solve for n: 3n + 4n + 9 = 30
Challenge
Answer:
9
Solve for n: 3n + 4n + 9 = 65
Challenge
Answer:

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Worksheet code: eyJzIjoiYWxnZWJyYS1zb2x2ZS10d28tc3RlcCIsImQiOlsyMTM2NDQ4NzAyLDU2OTc2ODU3MywxNTkwMjQzODQwLDE4MDk3NTU0MzIsNDczODAwMDE4LDE1NjU1Mzg2NDQsMTI1NzIwMTY4NiwxOTcwNzc4MTUsMTQ1ODYzMzE1XSwidiI6MX0.48b08b05d078

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Answer key · Solve two-step equations with whole numbers

1.
7 — Subtract 5, then divide by 5: n = (40 − 5) ÷ 5 = 7.
2.
4 — Subtract 9, then divide by 5: n = (29 − 9) ÷ 5 = 4.
3.
5 — Subtract 3, then divide by 4: n = (23 − 3) ÷ 4 = 5.
4.
3 — Add 4, then divide by 2: n = (2 + 4) ÷ 2 = 3.
5.
3 — Add 2, then divide by 3: n = (7 + 2) ÷ 3 = 3.
6.
4 — Add 3, then divide by 3: n = (9 + 3) ÷ 3 = 4.
7.
7 — Combine like terms: 5n + 2 = 37, so n = (37 − 2) ÷ 5 = 7.
8.
3 — Combine like terms: 7n + 9 = 30, so n = (30 − 9) ÷ 7 = 3.
9.
8 — Combine like terms: 7n + 9 = 65, so n = (65 − 9) ÷ 7 = 8.