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Solve two-step equations involving integers · Grade 8 · C2.3

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Date: ______________________

1
Solve for n: 3n − 6 = 9
Warm-up
Answer:
2
Solve for n: 4n − 7 = −15
Warm-up
Answer:
3
Solve for n: 3n − 8 = −5
Warm-up
Answer:
4
Solve for n: 4n − 5 = −1
On level
Answer:
5
Solve for n: 4n − 6 = −2
On level
Answer:
6
Solve for n: 5n − 5 = 0
On level
Answer:
7
Solve for n: 4n + 2n + 7 = −23
Challenge
Answer:
8
Solve for n: 2n + 2n + 3 = −9
Challenge
Answer:
9
Solve for n: 3n + 2n − 9 = −24
Challenge
Answer:

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Worksheet code: eyJzIjoiYWxnZWJyYS1zb2x2ZS10d28tc3RlcC1pbnRlZ2VycyIsImQiOlsxNTI2NTA4Miw1NjQ2OTI4NzUsOTIxMDQ5MzkwLDExNDI3MjE3MDIsODM5NzYxNTM3LDU5OTA3NTYyLDEzNzM3ODgwOTYsMjI3MTQzODcxLDY3NDM2NDEzNl0sInYiOjF9.0ab32dbad201

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Answer key · Solve two-step equations involving integers

1.
5 — Move the constant, then divide by 3: n = (9 − −6) ÷ 3 = 5.
2.
-2 — Move the constant, then divide by 4: n = (−15 − −7) ÷ 4 = -2.
3.
1 — Move the constant, then divide by 3: n = (−5 − −8) ÷ 3 = 1.
4.
1 — Add 5, then divide by 4: n = (−1 + 5) ÷ 4 = 1.
5.
1 — Add 6, then divide by 4: n = (−2 + 6) ÷ 4 = 1.
6.
1 — Add 5, then divide by 5: n = (0 + 5) ÷ 5 = 1.
7.
-5 — Combine like terms: 6n + 7 = −23, so n = (−23 − 7) ÷ 6 = -5.
8.
-3 — Combine like terms: 4n + 3 = −9, so n = (−9 − 3) ÷ 4 = -3.
9.
-3 — Combine like terms: 5n − 9 = −24, so n = (−24 − −9) ÷ 5 = -3.