Here's the solution to the "Solving Two-Step Equations" worksheet. I'll solve each equation step-by-step and then provide the matching answers.
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Equation 1: 86 + (-3x) = 62
→ 86 - 3x = 62
Subtract 86 from both sides:
→ -3x = 62 - 86
→ -3x = -24
Divide by -3:
→ x = 8
✔ Answer: 8
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Equation 2: 71 + 3x = 86
Subtract 71 from both sides:
→ 3x = 86 - 71
→ 3x = 15
Divide by 3:
→ x = 5
✔ Answer: 5
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Equation 3: 120 + (-11x) = 76
→ 120 - 11x = 76
Subtract 120 from both sides:
→ -11x = 76 - 120
→ -11x = -44
Divide by -11:
→ x = 4
✔ Answer: 4
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Equation 4: 89 + (-9x) = 71
→ 89 - 9x = 71
Subtract 89 from both sides:
→ -9x = 71 - 89
→ -9x = -18
Divide by -9:
→ x = 2
✔ Answer: 2
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Equation 5: 44 - 2x = 30
Subtract 44 from both sides:
→ -2x = 30 - 44
→ -2x = -14
Divide by -2:
→ x = 7
✔ Answer: 7
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Equation 6: 32 + 4x = 16
Subtract 32 from both sides:
→ 4x = 16 - 32
→ 4x = -16
Divide by 4:
→ x = -4
✔ Answer: -4
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Equation 7: 15 - 3x = 45
Subtract 15 from both sides:
→ -3x = 45 - 15
→ -3x = 30
Divide by -3:
→ x = -10
✔ Answer: -10
---
Equation 8: 100 + 4x = 80
Subtract 100 from both sides:
→ 4x = 80 - 100
→ 4x = -20
Divide by 4:
→ x = -5
✔ Answer: -5
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Equation 9: 40 + 2x = 36
Subtract 40 from both sides:
→ 2x = 36 - 40
→ 2x = -4
Divide by 2:
→ x = -2
✔ Answer: -2
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Equation 10: 48 + 2x = 32
Subtract 48 from both sides:
→ 2x = 32 - 48
→ 2x = -16
Divide by 2:
→ x = -8
✔ Answer: -8
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##
✔ Final Matching Answers:
| Equation # | Answer |
|------------|--------|
| 1 | 8 |
| 2 | 5 |
| 3 | 4 |
| 4 | 2 |
| 5 | 7 |
| 6 | -4 |
| 7 | -10 |
| 8 | -5 |
| 9 | -2 |
| 10 | -8 |
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## 📌 To Complete the Worksheet:
Draw lines connecting each equation on the left to its correct answer on the right:
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1 → 8
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2 → 5
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3 → 4
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4 → 2
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5 → 7
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6 → -4
-
7 → -10
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8 → -5
-
9 → -2
-
10 → -8
You’re all set! Let me know if you’d like a printable version or more practice problems. 😊
Parent Tip: Review the logic above to help your child master the concept of solving two step equations worksheet 8th grade.
