1.	Express the following ratios in their simplest forms: 1. Ratio 16.5 : 77.0 Correct Answer 3:14 2. Ratio: $$\frac{2}{2} : \frac{9}{2}$$ Correct Answer 2:9 3. Ratio 0.0400 : 0.120 Correct Answer 1:3

2.	Write the following as percentages 1. Number: 0.62 Correct Answer 62 % 2. Number: $$\frac{5}{6}$$ Correct Answer 83.3 % 3. Number: 1.9 Correct Answer 190 %

3.	Write the following as a fraction $$ 42.86 \%$$ Correct Answer $$\frac{3}{7}$$

4.	Logs Solve the following for x: $$3\ln\left(6x\right) + \ln\left({x}^{-4}\right) = \ln\left(x\right) + 5$$ Correct Answer $$ x = {\left(\frac{\exp\left(5\right)}{216}\right)}^{\frac{-1}{2}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{2}{x}^{-3} $$ Correct Answer $$\frac{1}{x} $$ 2. Please simplify the following expression: $$ \frac{{x}^{4}}{{x}^{6}} $$ Correct Answer $$\frac{1}{{x}^{2}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-1}\right)}^{1} $$ Correct Answer $$ {x}^{-1} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-1}\right)}^{-4}{y}^{-4}}{{y}^{4}} $$ Correct Answer $$ \frac{{x}^{4}}{{y}^{8}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 108 : 38.5 Correct Answer 14:5 2. Ratio: $$\frac{8}{5} : \frac{5}{7}$$ Correct Answer 56:25 3. Ratio 38.5 : 15.4 Correct Answer 5:2

7.	Write the following as percentages 1. Number: 0.44 Correct Answer 44 % 2. Number: $$\frac{3}{4}$$ Correct Answer 75.0 % 3. Number: 2.1 Correct Answer 210 %

8.	Write the following as a fraction $$ 33.33 \%$$ Correct Answer $$\frac{1}{3}$$

9.	Logs Solve the following for x: $$-6\ln\left((-x)\right) + \ln\left({x}^{2}\right) = \ln\left(x\right) + -5$$ Correct Answer $$ x = {\exp\left(-5\right)}^{\frac{-1}{5}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{5}{x}^{1} $$ Correct Answer $${x}^{6} $$ 2. Please simplify the following expression: $$ \frac{{x}^{-5}}{{x}^{-2}} $$ Correct Answer $$\frac{1}{{x}^{3}} $$ 3. Please simplify the following expression: $$ {\left({x}^{2}\right)}^{-3} $$ Correct Answer $$ {x}^{-6} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-2}\right)}^{-2}{y}^{-5}}{{y}^{-2}} $$ Correct Answer $$ \frac{{x}^{4}}{{y}^{3}} $$