1.	Express the following ratios in their simplest forms: 1. Ratio 0.210 : 0.0600 Correct Answer 7:2 2. Ratio: $$\frac{9}{2} : \frac{7}{10}$$ Correct Answer 45:7 3. Ratio 35 : 15 Correct Answer 7:3

2.	Write the following as percentages 1. Number: 0.70 Correct Answer 70 % 2. Number: $$\frac{5}{3}$$ Correct Answer 167 % 3. Number: 2.0 Correct Answer 200 %

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

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

5.

Powers 1. Please simplify the following expression: $$ {x}^{-1}{x}^{-5} $$ Correct Answer $$\frac{1}{{x}^{6}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{3}}{{x}^{2}} $$ Correct Answer $$x $$ 3. Please simplify the following expression: $$ {\left({x}^{4}\right)}^{1} $$ Correct Answer $$ {x}^{4} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{6}\right)}^{3}{y}^{-2}}{{y}^{5}} $$ Correct Answer $$ \frac{{x}^{18}}{{y}^{7}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 0.210 : 0.300 Correct Answer 7:10 2. Ratio: $$\frac{3}{7} : \frac{2}{1}$$ Correct Answer 3:14 3. Ratio 16.5 : 11.0 Correct Answer 3:2

7.	Write the following as percentages 1. Number: 0.086 Correct Answer 8.6 % 2. Number: $$\frac{3}{4}$$ Correct Answer 75.0 % 3. Number: 1.7 Correct Answer 170 %

8.	Write the following as a fraction $$ 85.71 \%$$ Correct Answer $$\frac{6}{7}$$

9.	Logs Solve the following for x: $$-4\ln\left(-4x\right) + \ln\left({\left(5x\right)}^{6}\right) = \ln\left(x\right) + -1$$ Correct Answer $$ x = \frac{256\exp\left(-1\right)}{15625} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-3}{x}^{4} $$ Correct Answer $$x $$ 2. Please simplify the following expression: $$ {x}^{\frac{5}{-6}}{x}^{\frac{2}{-6}} $$ Correct Answer $${x}^{\frac{-5}{6}}{x}^{\frac{-1}{3}} $$ 3. Please simplify the following expression: $$ {\left({x}^{1}\right)}^{-3} $$ Correct Answer $$ {x}^{-3} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-4}\right)}^{2}{y}^{-3}}{{y}^{5}} $$ Correct Answer $$ \frac{1}{{x}^{8}{y}^{8}} $$