guard shots made = shots taken x \( \frac{\text{% made}}{100} \) = 20 x \( \frac{60}{100} \) = \( \frac{60 x 20}{100} \) = \( \frac{1200}{100} \) = 12 shots

The center makes 50% 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 = \( \frac{12}{\frac{50}{100}} \) = 12 x \( \frac{100}{50} \) = \( \frac{12 x 100}{50} \) = \( \frac{1200}{50} \) = 24 shots

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

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).

Monica scored 94% on the test meaning she earned 94% of the possible points on the test. There were 200 possible points on the test so she earned 200 x 0.94 = 188 points. Each question is worth 4 points so she got \( \frac{188}{4} \) = 47 questions right.

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

3x² - 6x²
(3 - 6)x²
-3x²

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

\( \frac{4}{5} \) ÷ \( \frac{4}{7} \) = \( \frac{4}{5} \) x \( \frac{7}{4} \)

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

\( \frac{4}{5} \) x \( \frac{7}{4} \) = \( \frac{4 x 7}{5 x 4} \) = \( \frac{28}{20} \) = 1\(\frac{2}{5}\)