The amount of flour you need is (3\(\frac{1}{4}\) - 1\(\frac{1}{2}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{26}{8} \) - \( \frac{12}{8} \)) cups
\( \frac{14}{8} \) cups
1\(\frac{3}{4}\) cups

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:

\( \sqrt{\frac{25}{9}} \)
\( \frac{\sqrt{25}}{\sqrt{9}} \)
\( \frac{\sqrt{5^2}}{\sqrt{3^2}} \)
\( \frac{5}{3} \)
1\(\frac{2}{3}\)

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

5 + (5 + 2) ÷ 4 x 4 - 4²
P: 5 + (7) ÷ 4 x 4 - 4²
E: 5 + 7 ÷ 4 x 4 - 16
MD: 5 + \( \frac{7}{4} \) x 4 - 16
MD: 5 + \( \frac{28}{4} \) - 16
AS: \( \frac{20}{4} \) + \( \frac{28}{4} \) - 16
AS: \( \frac{48}{4} \) - 16
AS: \( \frac{48 - 64}{4} \)
\( \frac{-16}{4} \)
-4

A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

0.0000196 in scientific notation is 1.96 x 10^-5

Betty scored 93% on the test meaning she earned 93% of the possible points on the test. There were 180 possible points on the test so she earned 180 x 0.93 = 168 points. Each question is worth 2 points so she got \( \frac{168}{2} \) = 84 questions right.