Let's solve each two-step equation step by step and match them to their correct answers.
---
1. $ 86 + (-3x) = 62 $
Simplify:
$$
86 - 3x = 62
$$
Subtract 86 from both sides:
$$
-3x = 62 - 86 = -24
$$
Divide by -3:
$$
x = \frac{-24}{-3} = 8
$$
✔ Answer: 8
---
2. $ 71 + 3x = 86 $
Subtract 71 from both sides:
$$
3x = 86 - 71 = 15
$$
Divide by 3:
$$
x = \frac{15}{3} = 5
$$
✔ Answer: 5
---
3. $ 120 + (-11x) = 76 $
Simplify:
$$
120 - 11x = 76
$$
Subtract 120:
$$
-11x = 76 - 120 = -44
$$
Divide by -11:
$$
x = \frac{-44}{-11} = 4
$$
✔ Answer: 4
---
4. $ 89 + (-9x) = 71 $
Simplify:
$$
89 - 9x = 71
$$
Subtract 89:
$$
-9x = 71 - 89 = -18
$$
Divide by -9:
$$
x = \frac{-18}{-9} = 2
$$
✔ Answer: 2
---
5. $ 44 - 2x = 30 $
Subtract 44:
$$
-2x = 30 - 44 = -14
$$
Divide by -2:
$$
x = \frac{-14}{-2} = 7
$$
✔ Answer: 7
---
6. $ 32 + 4x = 16 $
Subtract 32:
$$
4x = 16 - 32 = -16
$$
Divide by 4:
$$
x = \frac{-16}{4} = -4
$$
✔ Answer: -4
---
7. $ 15 - 3x = 45 $
Subtract 15:
$$
-3x = 45 - 15 = 30
$$
Divide by -3:
$$
x = \frac{30}{-3} = -10
$$
✔ Answer: -10
---
8. $ 100 + 4x = 80 $
Subtract 100:
$$
4x = 80 - 100 = -20
$$
Divide by 4:
$$
x = \frac{-20}{4} = -5
$$
✔ Answer: -5
---
9. $ 40 + 2x = 36 $
Subtract 40:
$$
2x = 36 - 40 = -4
$$
Divide by 2:
$$
x = \frac{-4}{2} = -2
$$
✔ Answer: -2
---
10. $ 48 + 2x = 32 $
Subtract 48:
$$
2x = 32 - 48 = -16
$$
Divide by 2:
$$
x = \frac{-16}{2} = -8
$$
✔ Answer: -8
---
✔ Final Matching:
| Equation | Answer |
|--------|--------|
| 1. $86 - 3x = 62$ →
8 |
| 2. $71 + 3x = 86$ →
5 |
| 3. $120 - 11x = 76$ →
4 |
| 4. $89 - 9x = 71$ →
2 |
| 5. $44 - 2x = 30$ →
7 |
| 6. $32 + 4x = 16$ →
-4 |
| 7. $15 - 3x = 45$ →
-10 |
| 8. $100 + 4x = 80$ →
-5 |
| 9. $40 + 2x = 36$ →
-2 |
|10. $48 + 2x = 32$ →
-8 |
---
🔗 Match the numbers on the left to the right column:
- 1 → 8
- 2 → 5
- 3 → 4
- 4 → 2
- 5 → 7
- 6 → -4
- 7 → -10
- 8 → -5
- 9 → -2
-10 → -8
---
You can now draw lines connecting each equation number to its corresponding answer in the right-hand column.
Parent Tip: Review the logic above to help your child master the concept of worksheet on two step equations.
