guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 25 x \( \frac{40}{100} \) = \( \frac{40 x 25}{100} \) = \( \frac{1000}{100} \) = 10 shots

The center makes 25% of his shots so he'll have to take:

shots made = shots taken x \( \frac{\text{% made}}{100} \)
shots taken = \( \frac{\text{shots taken}}{\frac{\text{% made}}{100}} \)

to make as many shots as the guard. Plugging in values for the center gives us:

center shots taken = \( \frac{10}{\frac{25}{100}} \) = 10 x \( \frac{100}{25} \) = \( \frac{10 x 100}{25} \) = \( \frac{1000}{25} \) = 40 shots

to make the same number of shots as the guard and thus score the same number of points.

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-4z⁴ + 6z⁴
(-4 + 6)z⁴
2z⁴

To divide fractions, invert the second fraction and then multiply:

\( \frac{1}{8} \) ÷ \( \frac{1}{9} \) = \( \frac{1}{8} \) x \( \frac{9}{1} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{1}{8} \) x \( \frac{9}{1} \) = \( \frac{1 x 9}{8 x 1} \) = \( \frac{9}{8} \) = 1\(\frac{1}{8}\)

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{64}{16}} \)
\( \frac{\sqrt{64}}{\sqrt{16}} \)
\( \frac{\sqrt{8^2}}{\sqrt{4^2}} \)
\( \frac{8}{4} \)
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