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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 + 1 = 15
Warm-up
Answer:
2
Solve for n: 5n + 5 = 45
Warm-up
Answer:
3
Solve for n: 5n + 2 = 32
Warm-up
Answer:
4
Solve for n: 2n − 1 = 5
On level
Answer:
5
Solve for n: 3n − 2 = 10
On level
Answer:
6
Solve for n: 5n − 2 = 18
On level
Answer:
7
Solve for n: 4n + 3n + 5 = 26
Challenge
Answer:
8
Solve for n: 4n + 2n + 9 = 39
Challenge
Answer:
9
Solve for n: 2n + 4n + 6 = 54
Challenge
Answer:

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Worksheet code: eyJzIjoiYWxnZWJyYS1zb2x2ZS10d28tc3RlcCIsImQiOls1MTg4MDE1MjEsNzE2NTQ0MjIwLDg4NDQ1MTU4NSwxOTk4MDU2MTQ1LDE3MDI0NjUzNTYsNjcyNTY1MzY0LDE1MDk3NTkwMTYsMTQ3NTA1Nzk5NSw3OTA3NzMzMDFdLCJ2IjoxfQ.d2c829cdfa82

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Answer key · Solve two-step equations with whole numbers

1.
7 — Subtract 1, then divide by 2: n = (15 − 1) ÷ 2 = 7.
2.
8 — Subtract 5, then divide by 5: n = (45 − 5) ÷ 5 = 8.
3.
6 — Subtract 2, then divide by 5: n = (32 − 2) ÷ 5 = 6.
4.
3 — Add 1, then divide by 2: n = (5 + 1) ÷ 2 = 3.
5.
4 — Add 2, then divide by 3: n = (10 + 2) ÷ 3 = 4.
6.
4 — Add 2, then divide by 5: n = (18 + 2) ÷ 5 = 4.
7.
3 — Combine like terms: 7n + 5 = 26, so n = (26 − 5) ÷ 7 = 3.
8.
5 — Combine like terms: 6n + 9 = 39, so n = (39 − 9) ÷ 6 = 5.
9.
8 — Combine like terms: 6n + 6 = 54, so n = (54 − 6) ÷ 6 = 8.