Let's solve each two-step algebra problem and match it with the correct answer from the list provided.
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Problem 1: 3x + 5 = 11
Step 1: Subtract 5 from both sides
3x = 11 - 5
3x = 6
Step 2: Divide both sides by 3
x = 6 ÷ 3
x =
2
✔ Match to:
B. x = 2
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Problem 2: 6 + 4x = 18
Step 1: Subtract 6 from both sides
4x = 18 - 6
4x = 12
Step 2: Divide both sides by 4
x = 12 ÷ 4
x =
3
✔ Match to:
F. x = 3
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Problem 3: 7x + 10 = 45
Step 1: Subtract 10 from both sides
7x = 45 - 10
7x = 35
Step 2: Divide both sides by 7
x = 35 ÷ 7
x =
5
✔ Match to:
J. x = 5
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Problem 4: 14 – 5x = 34
Step 1: Subtract 14 from both sides
-5x = 34 - 14
-5x = 20
Step 2: Divide both sides by -5
x = 20 ÷ (-5)
x =
-4
✔ Match to:
C. x = -4
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Problem 5: -10x + 8 = 68
Step 1: Subtract 8 from both sides
-10x = 68 - 8
-10x = 60
Step 2: Divide both sides by -10
x = 60 ÷ (-10)
x =
-6
✔ Match to:
H. x = -6
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Problem 6: 12x – 9 = 63
Step 1: Add 9 to both sides
12x = 63 + 9
12x = 72
Step 2: Divide both sides by 12
x = 72 ÷ 12
x =
6
✔ Match to:
D. x = 6
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Problem 7: -8x – 15 = 57
Step 1: Add 15 to both sides
-8x = 57 + 15
-8x = 72
Step 2: Divide both sides by -8
x = 72 ÷ (-8)
x =
-9
✔ Match to:
A. x = -9
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Problem 8: -16 – 9x = 74
Step 1: Add 16 to both sides
-9x = 74 + 16
-9x = 90
Step 2: Divide both sides by -9
x = 90 ÷ (-9)
x =
-10
✔ Match to:
I. x = -10
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Problem 9: 2x + 21 = 49
Step 1: Subtract 21 from both sides
2x = 49 - 21
2x = 28
Step 2: Divide both sides by 2
x = 28 ÷ 2
x =
14
✔ Match to:
G. x = 14
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Problem 10: -5x + 6 = 41
Step 1: Subtract 6 from both sides
-5x = 41 - 6
-5x = 35
Step 2: Divide both sides by -5
x = 35 ÷ (-5)
x =
-7
✔ Match to:
E. x = -7
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✔ Final Matching:
| Problem | Answer |
|--------|--------|
| 1. 3x + 5 = 11 → B. x = 2 |
| 2. 6 + 4x = 18 → F. x = 3 |
| 3. 7x + 10 = 45 → J. x = 5 |
| 4. 14 – 5x = 34 → C. x = -4 |
| 5. -10x + 8 = 68 → H. x = -6 |
| 6. 12x – 9 = 63 → D. x = 6 |
| 7. -8x – 15 = 57 → A. x = -9 |
| 8. -16 – 9x = 74 → I. x = -10 |
| 9. 2x + 21 = 49 → G. x = 14 |
|10. -5x + 6 = 41 → E. x = -7 |
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📌 Instructions for Student:
Draw a line from each problem number (1–10) to the corresponding letter (A–J) that matches its solution.
For example:
- Draw a line from
1 to
B
- Draw a line from
2 to
F
- And so on...
This completes the "Solve and Match" activity.
Parent Tip: Review the logic above to help your child master the concept of solve for x worksheets.
