Let's solve each of the given equations step by step. These are all linear equations in one variable, and we'll isolate $ x $ to find its value.
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3) $ x - 3 = 11 $
Add 3 to both sides:
$$
x = 11 + 3 = 14
$$
✔ Answer: $ x = 14 $
---
4) $ x - 5 = 7 $
Add 5 to both sides:
$$
x = 7 + 5 = 12
$$
✔ Answer: $ x = 12 $
---
5) $ 2x = 10 $
Divide both sides by 2:
$$
x = \frac{10}{2} = 5
$$
✔ Answer: $ x = 5 $
---
6) $ \frac{x}{6} = 2 $
Multiply both sides by 6:
$$
x = 2 \times 6 = 12
$$
✔ Answer: $ x = 12 $
---
7) $ 3x = 15 $
Divide both sides by 3:
$$
x = \frac{15}{3} = 5
$$
✔ Answer: $ x = 5 $
---
8) $ 4x = 12 $
Divide both sides by 4:
$$
x = \frac{12}{4} = 3
$$
✔ Answer: $ x = 3 $
---
9) $ \frac{x}{4} = 10 $
Multiply both sides by 4:
$$
x = 10 \times 4 = 40
$$
✔ Answer: $ x = 40 $
---
10) $ x - 7 = 13 $
Add 7 to both sides:
$$
x = 13 + 7 = 20
$$
✔ Answer: $ x = 20 $
---
11) $ x + 6 = 15 $
Subtract 6 from both sides:
$$
x = 15 - 6 = 9
$$
✔ Answer: $ x = 9 $
---
12) $ 4 + x = 9 $
Subtract 4 from both sides:
$$
x = 9 - 4 = 5
$$
✔ Answer: $ x = 5 $
---
13) $ 7 = x - 6 $
Add 6 to both sides:
$$
7 + 6 = x \Rightarrow x = 13
$$
✔ Answer: $ x = 13 $
---
14) $ 14 = x + 5 $
Subtract 5 from both sides:
$$
x = 14 - 5 = 9
$$
✔ Answer: $ x = 9 $
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 3) | $ x = 14 $ |
| 4) | $ x = 12 $ |
| 5) | $ x = 5 $ |
| 6) | $ x = 12 $ |
| 7) | $ x = 5 $ |
| 8) | $ x = 3 $ |
| 9) | $ x = 40 $ |
| 10) | $ x = 20 $ |
| 11) | $ x = 9 $ |
| 12) | $ x = 5 $ |
| 13) | $ x = 13 $ |
| 14) | $ x = 9 $ |
Let me know if you'd like these checked or explained further!
Parent Tip: Review the logic above to help your child master the concept of two step algebra worksheet.