Let's solve each of these two-step equations step by step and identify the correct answer for each.
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1. $ 8b + 12 = 52 $
Step 1: Subtract 12 from both sides
$ 8b = 52 - 12 $
$ 8b = 40 $
Step 2: Divide both sides by 8
$ b = \frac{40}{8} = 5 $
✔ Answer: A) b = 5
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2. $ 4s - 5 = 39 $
Step 1: Add 5 to both sides
$ 4s = 39 + 5 $
$ 4s = 44 $
Step 2: Divide by 4
$ s = \frac{44}{4} = 11 $
✔ Answer: A) s = 11
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3. $ 9a - 11 = 61 $
Step 1: Add 11 to both sides
$ 9a = 61 + 11 $
$ 9a = 72 $
Step 2: Divide by 9
$ a = \frac{72}{9} = 8 $
✔ Answer: A) a = 8
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4. $ 2n + 6 = 16 $
Step 1: Subtract 6 from both sides
$ 2n = 16 - 6 $
$ 2n = 10 $
Step 2: Divide by 2
$ n = \frac{10}{2} = 5 $
✔ Answer: C) n = 5
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5. $ 6x + 25 = 73 $
Step 1: Subtract 25 from both sides
$ 6x = 73 - 25 $
$ 6x = 48 $
Step 2: Divide by 6
$ x = \frac{48}{6} = 8 $
✔ Answer: A) x = 8
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6. $ \frac{x}{7} + 14 = 22 $
Step 1: Subtract 14 from both sides
$ \frac{x}{7} = 22 - 14 $
$ \frac{x}{7} = 8 $
Step 2: Multiply both sides by 7
$ x = 8 \times 7 = 56 $
✔ Answer: A) x = 56
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7. $ 7s - 9 = 5 $
Step 1: Add 9 to both sides
$ 7s = 5 + 9 $
$ 7s = 14 $
Step 2: Divide by 7
$ s = \frac{14}{7} = 2 $
But wait — this question doesn't have an option showing $ s = 2 $. Let’s double-check:
- The options are not listed in your image for question 7, but based on the pattern, likely choices would be:
- A) s = 2
- B) s = -2
- C) s = 1
- D) s = 3
So the correct answer is
s = 2, but since no options are shown, we assume it's missing.
✔ Answer: s = 2 (not listed in visible options)
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✔ Final Answers Summary:
| Question | Answer |
|--------|--------|
| 1 | A) b = 5 |
| 2 | A) s = 11 |
| 3 | A) a = 8 |
| 4 | C) n = 5 |
| 5 | A) x = 8 |
| 6 | A) x = 56 |
| 7 | s = 2 (not shown in options) |
Let me know if you'd like help with the rest of the 16 questions!
Parent Tip: Review the logic above to help your child master the concept of easy 2 step equations worksheet.