Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

3 + (2 + 2) ÷ 3 x 4 - 3²
P: 3 + (4) ÷ 3 x 4 - 3²
E: 3 + 4 ÷ 3 x 4 - 9
MD: 3 + \( \frac{4}{3} \) x 4 - 9
MD: 3 + \( \frac{16}{3} \) - 9
AS: \( \frac{9}{3} \) + \( \frac{16}{3} \) - 9
AS: \( \frac{25}{3} \) - 9
AS: \( \frac{25 - 27}{3} \)
\( \frac{-2}{3} \)
-\(\frac{2}{3}\)

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $800
i = 0.05 x $800

No payments were made so the total amount due is the original amount + the accumulated interest:

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:

\( \sqrt{\frac{4}{25}} \)
\( \frac{\sqrt{4}}{\sqrt{25}} \)
\( \frac{\sqrt{2^2}}{\sqrt{5^2}} \)
\(\frac{2}{5}\)

Diane scored 78% on the test meaning she earned 78% of the possible points on the test. There were 400 possible points on the test so she earned 400 x 0.78 = 312 points. Each question is worth 4 points so she got \( \frac{312}{4} \) = 78 questions right.