Basic Algebra Worksheets - Free Printable

Let's solve each of the problems on the "Generate Expressions Sheet 1" by translating the verbal descriptions into algebraic expressions. We'll go step-by-step, using standard algebraic notation.

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🔹 Instructions Recap:

We need to convert each phrase into an algebraic expression.
Example:
- "5 less than c" → $ c - 5 $
- "3 lots of g" → $ 3g $

Now let’s solve each one:

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1) add 2 to a
→ $ a + 2 $

2) subtract 1 from b
→ $ b - 1 $

3) double c
→ $ 2c $

4) add 1 to d
→ $ d + 1 $

5) subtract 3 from e
→ $ e - 3 $

6) half of f
→ $ \frac{1}{2}f $ or $ \frac{f}{2} $

7) multiply g by 4
→ $ 4g $

8) multiply h by 3
→ $ 3h $

9) divide i by 3
→ $ \frac{i}{3} $

10) add 4 to j
→ $ j + 4 $

11) double k and add 1
→ $ 2k + 1 $

12) double l and subtract 2
→ $ 2l - 2 $

13) halve m and add 3
→ $ \frac{m}{2} + 3 $

14) halve n and subtract 1
→ $ \frac{n}{2} - 1 $

15) multiply o by 3 and add 4
→ $ 3o + 4 $

16) multiply p by 5 and subtract 2
→ $ 5p - 2 $

17) add 7 to r
→ $ r + 7 $

18) add s to 7
→ $ 7 + s $ (or $ s + 7 $ — same thing)

19) subtract 10 from t
→ $ t - 10 $

20) subtract u from 10
→ $ 10 - u $

21) multiply 2 by v
→ $ 2v $

22) multiply w by 2
→ $ 2w $

23) divide x by 5
→ $ \frac{x}{5} $

24) divide 5 by y
→ $ \frac{5}{y} $

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✔ Final Answer Table:

| # | Phrase | Expression |
|---|--------|------------|
| 1 | add 2 to a | $ a + 2 $ |
| 2 | subtract 1 from b | $ b - 1 $ |
| 3 | double c | $ 2c $ |
| 4 | add 1 to d | $ d + 1 $ |
| 5 | subtract 3 from e | $ e - 3 $ |
| 6 | half of f | $ \frac{f}{2} $ |
| 7 | multiply g by 4 | $ 4g $ |
| 8 | multiply h by 3 | $ 3h $ |
| 9 | divide i by 3 | $ \frac{i}{3} $ |
| 10 | add 4 to j | $ j + 4 $ |
| 11 | double k and add 1 | $ 2k + 1 $ |
| 12 | double l and subtract 2 | $ 2l - 2 $ |
| 13 | halve m and add 3 | $ \frac{m}{2} + 3 $ |
| 14 | halve n and subtract 1 | $ \frac{n}{2} - 1 $ |
| 15 | multiply o by 3 and add 4 | $ 3o + 4 $ |
| 16 | multiply p by 5 and subtract 2 | $ 5p - 2 $ |
| 17 | add 7 to r | $ r + 7 $ |
| 18 | add s to 7 | $ 7 + s $ |
| 19 | subtract 10 from t | $ t - 10 $ |
| 20 | subtract u from 10 | $ 10 - u $ |
| 21 | multiply 2 by v | $ 2v $ |
| 22 | multiply w by 2 | $ 2w $ |
| 23 | divide x by 5 | $ \frac{x}{5} $ |
| 24 | divide 5 by y | $ \frac{5}{y} $ |

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📝 Explanation Tips:

- "Add" → use $ + $
- "Subtract" → use $ - $
- "Double" / "Multiply by" → use multiplication (e.g., $ 2x $, $ 3y $)
- "Half" / "Halve" → divide by 2: $ \frac{x}{2} $
- "Divide" → use fraction form
- Order matters: “subtract u from 10” means $ 10 - u $, not $ u - 10 $

This sheet is great for practicing how to translate word phrases into algebraic expressions — a foundational skill in algebra!

Let me know if you'd like this as a printable PDF or want practice with evaluating these expressions!