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

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Date: ______________________

1
Solve for n: 2n + 8 = 22
Warm-up
Answer:
2
Solve for n: 3n + 2 = 8
Warm-up
Answer:
3
Solve for n: 4n + 1 = 17
Warm-up
Answer:
4
Solve for n: 3n − 9 = 3
On level
Answer:
5
Solve for n: 4n − 4 = 32
On level
Answer:
6
Solve for n: 6n − 4 = 26
On level
Answer:
7
Solve for n: 2n + 2n + 3 = 35
Challenge
Answer:
8
Solve for n: 4n + 4n + 4 = 44
Challenge
Answer:
9
Solve for n: 4n + 2n + 8 = 32
Challenge
Answer:

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Worksheet code: eyJzIjoiYWxnZWJyYS1zb2x2ZS10d28tc3RlcCIsImQiOlsxNTI3MzU3NDUwLDkzMDM2NTIwNiw5MzUwMjIyNjMsMTUzMzI3NzM2Niw1NTM2NjAwNTksMjA4MzM4MTI1OSwxOTUxODU4MjU4LDY0NjQ4MDczMywxNDY3MzAwMTA2XSwidiI6MX0.53c8ec557d67

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Answer key · Solve two-step equations with whole numbers

1.
7 — Subtract 8, then divide by 2: n = (22 − 8) ÷ 2 = 7.
2.
2 — Subtract 2, then divide by 3: n = (8 − 2) ÷ 3 = 2.
3.
4 — Subtract 1, then divide by 4: n = (17 − 1) ÷ 4 = 4.
4.
4 — Add 9, then divide by 3: n = (3 + 9) ÷ 3 = 4.
5.
9 — Add 4, then divide by 4: n = (32 + 4) ÷ 4 = 9.
6.
5 — Add 4, then divide by 6: n = (26 + 4) ÷ 6 = 5.
7.
8 — Combine like terms: 4n + 3 = 35, so n = (35 − 3) ÷ 4 = 8.
8.
5 — Combine like terms: 8n + 4 = 44, so n = (44 − 4) ÷ 8 = 5.
9.
4 — Combine like terms: 6n + 8 = 32, so n = (32 − 8) ÷ 6 = 4.