ASVAB Math Knowledge Practice Test 1 | PDF - Free Printable

Explanation:
Let’s solve each question one by one.

Question 1:
What's the circumference of a circle that has a radius of 8?

The formula for circumference is:
$$ C = 2\pi r $$
Given $ r = 8 $, plug in:
$$ C = 2 \pi (8) = 16\pi $$

Now approximate using $ \pi \approx 3.1416 $:
$$ 16 \times 3.1416 = 50.2656 $$
Rounded to two decimal places: 50.27

So answer is C.

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Question 2:
Solve this equation for $ a $:
$$ a = \frac{b^8}{b^4} $$

When dividing powers with the same base, subtract exponents:
$$ \frac{b^8}{b^4} = b^{8 - 4} = b^4 $$

So $ a = b^4 $ → answer is C.

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Question 3:
Factor: $ x^2 + 2x - 3 $

We want two numbers that:
- Multiply to $ -3 $ (the constant term)
- Add to $ +2 $ (the coefficient of $ x $)

Try:
$ 3 \times (-1) = -3 $, and $ 3 + (-1) = 2 $ ✔

So factor as:
$$ (x + 3)(x - 1) $$

Check:
$ (x+3)(x-1) = x^2 - x + 3x - 3 = x^2 + 2x - 3 $ ✔️

So answer is D.

Final Answer:
1. C
2. C
3. D