Printable math worksheet featuring ten algebraic expression problems where students must substitute the variable 'a' with the value 5.

We are given that $ a = 5 $, and we need to evaluate each algebraic expression. Let's go through them one by one.

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1. $ \frac{4a}{3} $

Substitute $ a = 5 $:

$$
\frac{4 \times 5}{3} = \frac{20}{3} \approx 6.67
$$

✔ Answer: $ \frac{20}{3} $ or $ 6\frac{2}{3} $

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2. $ 8 + 3a $

$$
8 + 3(5) = 8 + 15 = 23
$$

✔ Answer: $ 23 $

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3. $ 2a - 3 $

$$
2(5) - 3 = 10 - 3 = 7
$$

✔ Answer: $ 7 $

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4. $ \frac{a}{3} + 2 $

$$
\frac{5}{3} + 2 = \frac{5}{3} + \frac{6}{3} = \frac{11}{3} \approx 3.67
$$

✔ Answer: $ \frac{11}{3} $ or $ 3\frac{2}{3} $

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5. $ \frac{3a - 4}{2} $

$$
\frac{3(5) - 4}{2} = \frac{15 - 4}{2} = \frac{11}{2} = 5.5
$$

✔ Answer: $ \frac{11}{2} $ or $ 5.5 $

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6. $ \frac{2a + 5}{5} $

$$
\frac{2(5) + 5}{5} = \frac{10 + 5}{5} = \frac{15}{5} = 3
$$

✔ Answer: $ 3 $

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7. $ 2a^2 - 3 $

First, find $ a^2 = 5^2 = 25 $

$$
2(25) - 3 = 50 - 3 = 47
$$

✔ Answer: $ 47 $

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8. $ a^3 + 5 $

$ a^3 = 5^3 = 125 $

$$
125 + 5 = 130
$$

✔ Answer: $ 130 $

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9. $ 3a - 5 $

$$
3(5) - 5 = 15 - 5 = 10
$$

✔ Answer: $ 10 $

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10. $ a^2 - a $

$ a^2 = 25 $, so:

$$
25 - 5 = 20
$$

✔ Answer: $ 20 $

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✔ Final Answers (in order):

| Expression | Value |
|----------|-------|
| $ \frac{4a}{3} $ | $ \frac{20}{3} $ |
| $ 8 + 3a $ | $ 23 $ |
| $ 2a - 3 $ | $ 7 $ |
| $ \frac{a}{3} + 2 $ | $ \frac{11}{3} $ |
| $ \frac{3a - 4}{2} $ | $ \frac{11}{2} $ |
| $ \frac{2a + 5}{5} $ | $ 3 $ |
| $ 2a^2 - 3 $ | $ 47 $ |
| $ a^3 + 5 $ | $ 130 $ |
| $ 3a - 5 $ | $ 10 $ |
| $ a^2 - a $ | $ 20 $ |

Let me know if you'd like these written as decimals or mixed numbers!