1.	Express the following ratios in their simplest forms: 1. Ratio 16.5 : 11.0 Correct Answer 3:2 2. Ratio: $$\frac{5}{1} : \frac{7}{10}$$ Correct Answer 50:7 3. Ratio 0.250 : 0.150 Correct Answer 5:3

2.	Write the following as percentages 1. Number: 0.25 Correct Answer 25 % 2. Number: $$\frac{7}{3}$$ Correct Answer 233 % 3. Number: 1.8 Correct Answer 180 %

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

4.	Logs Solve the following for x: $$-5\ln\left(x\right) + -6\ln\left((-x)\right) = \ln\left(x\right) + -5$$ Correct Answer $$ x = {\exp\left(-5\right)}^{\frac{-1}{12}} $$

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 0.240 : 0.800 Correct Answer 3:10 2. Ratio: $$\frac{9}{9} : \frac{5}{10}$$ Correct Answer 2:1 3. Ratio 0.150 : 0.210 Correct Answer 5:7

7.	Write the following as percentages 1. Number: 0.11 Correct Answer 11 % 2. Number: $$\frac{3}{7}$$ Correct Answer 42.9 % 3. Number: 1.5 Correct Answer 150 %

8.	Write the following as a fraction $$ 20.00 \%$$ Correct Answer $$\frac{1}{5}$$

9.	Logs Solve the following for x: $$\ln\left({\left(5x\right)}^{6}\right) + \ln\left({\left(3x\right)}^{-2}\right) = \ln\left(x\right) + 5$$ Correct Answer $$ x = {\left(\frac{9\exp\left(5\right)}{15625}\right)}^{\frac{1}{3}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{5}{x}^{-2} $$ Correct Answer $${x}^{3} $$ 2. Please simplify the following expression: $$ {x}^{\frac{4}{3}}{x}^{\frac{-6}{3}} $$ Correct Answer $$\frac{{x}^{\frac{4}{3}}}{{x}^{2}} $$ 3. Please simplify the following expression: $$ {\left({x}^{4}\right)}^{4} $$ Correct Answer $$ {x}^{16} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{2}\right)}^{-6}{y}^{-2}}{{y}^{2}} $$ Correct Answer $$ \frac{1}{{x}^{12}{y}^{4}} $$