1.	Express the following ratios in their simplest forms: 1. Ratio 38.5 : 82.5 Correct Answer 7:15 2. Ratio: $$\frac{8}{11} : \frac{1}{10}$$ Correct Answer 80:11 3. Ratio 16 : 56 Correct Answer 2:7

2.	Write the following as percentages 1. Number: 0.99 Correct Answer 99 % 2. Number: $$\frac{5}{6}$$ Correct Answer 83.3 % 3. Number: 1.9 Correct Answer 190 %

3.	Write the following as a fraction $$ 66.67 \%$$ Correct Answer $$\frac{2}{3}$$

4.	Logs Solve the following for x: $$\ln\left({\left(2x\right)}^{5}\right) + \ln\left({\left(2x\right)}^{2}\right) = \ln\left(x\right) + -2$$ Correct Answer $$ x = {\left(\frac{\exp\left(-2\right)}{128}\right)}^{\frac{1}{6}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{-5}{x}^{-5} $$ Correct Answer $$\frac{1}{{x}^{10}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{1}}{{x}^{2}} $$ Correct Answer $$\frac{1}{x} $$ 3. Please simplify the following expression: $$ {\left({x}^{-4}\right)}^{-2} $$ Correct Answer $$ {x}^{8} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-3}\right)}^{-4}{y}^{1}}{{y}^{5}} $$ Correct Answer $$ \frac{{x}^{12}}{{y}^{4}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 2 : 4 Correct Answer 1:2 2. Ratio: $$\frac{10}{7} : \frac{4}{4}$$ Correct Answer 10:7 3. Ratio 0.560 : 0.240 Correct Answer 7:3

7.	Write the following as percentages 1. Number: 0.59 Correct Answer 59 % 2. Number: $$\frac{2}{7}$$ Correct Answer 28.6 % 3. Number: 1.5 Correct Answer 150 %

8.	Write the following as a fraction $$ 50.00 \%$$ Correct Answer $$\frac{1}{2}$$

9.	Logs Solve the following for x: $$6\ln\left(-3x\right) + \ln\left({\left(2x\right)}^{-6}\right) = \ln\left(x\right) + 1$$ Correct Answer $$ x = {\left(\frac{64\exp\left(1\right)}{729}\right)}^{-1} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-1}{x}^{-3} $$ Correct Answer $$\frac{1}{{x}^{4}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{4}}{{x}^{6}} $$ Correct Answer $$\frac{1}{{x}^{2}} $$ 3. Please simplify the following expression: $$ {\left({x}^{5}\right)}^{2} $$ Correct Answer $$ {x}^{10} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{4}\right)}^{-3}{y}^{-5}}{{y}^{1}} $$ Correct Answer $$ \frac{1}{{x}^{12}{y}^{6}} $$