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

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Date: ______________________

1
Solve for n: 4n − 7 = 1
Warm-up
Answer:
2
Solve for n: 2n + 9 = −1
Warm-up
Answer:
3
Solve for n: 4n + 2 = 14
Warm-up
Answer:
4
Solve for n: 5n − 7 = −32
On level
Answer:
5
Solve for n: 2n − 6 = −8
On level
Answer:
6
Solve for n: 3n − 4 = −19
On level
Answer:
7
Solve for n: 3n + 4n + 8 = 1
Challenge
Answer:
8
Solve for n: 3n + 2n + 6 = 16
Challenge
Answer:
9
Solve for n: 3n + 3n − 9 = −33
Challenge
Answer:

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Worksheet code: eyJzIjoiYWxnZWJyYS1zb2x2ZS10d28tc3RlcC1pbnRlZ2VycyIsImQiOlsyMTA4MjUyMjg5LDE1Mzk3MTY1MzMsNDMxOTYzNTE5LDEzMTE3NjE2ODgsMTIyNDE5MTA1LDM4ODI0NDE1Niw0NjI3NjY2MTUsODc4OTM0MTI5LDg5MDI3NTYzN10sInYiOjF9.6c1dcdafa254

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Answer key · Solve two-step equations involving integers

1.
2 — Move the constant, then divide by 4: n = (1 − −7) ÷ 4 = 2.
2.
-5 — Move the constant, then divide by 2: n = (−1 − 9) ÷ 2 = -5.
3.
3 — Move the constant, then divide by 4: n = (14 − 2) ÷ 4 = 3.
4.
-5 — Add 7, then divide by 5: n = (−32 + 7) ÷ 5 = -5.
5.
-1 — Add 6, then divide by 2: n = (−8 + 6) ÷ 2 = -1.
6.
-5 — Add 4, then divide by 3: n = (−19 + 4) ÷ 3 = -5.
7.
-1 — Combine like terms: 7n + 8 = 1, so n = (1 − 8) ÷ 7 = -1.
8.
2 — Combine like terms: 5n + 6 = 16, so n = (16 − 6) ÷ 5 = 2.
9.
-4 — Combine like terms: 6n − 9 = −33, so n = (−33 − −9) ÷ 6 = -4.