1.	Express the following ratios in their simplest forms: 1. Ratio 6 : 12 Correct Answer 1:2 2. Ratio: $$\frac{3}{8} : \frac{3}{8}$$ Correct Answer 1:1 3. Ratio 0.150 : 0.0900 Correct Answer 5:3

2.	Write the following as percentages 1. Number: 0.25 Correct Answer 25 % 2. Number: $$\frac{2}{3}$$ Correct Answer 66.7 % 3. Number: 1.7 Correct Answer 170 %

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

4.	Logs Solve the following for x: $$\ln\left({\left(5x\right)}^{3}\right) + \ln\left({x}^{2}\right) = \ln\left(x\right) + 4$$ Correct Answer $$ x = {\left(\frac{\exp\left(4\right)}{125}\right)}^{\frac{1}{4}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{1}{x}^{-2} $$ Correct Answer $$\frac{1}{x} $$ 2. Please simplify the following expression: $$ {x}^{\frac{4}{-2}}{x}^{\frac{4}{-2}} $$ Correct Answer $$\frac{1}{{x}^{4}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-3}\right)}^{-5} $$ Correct Answer $$ {x}^{15} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-3}\right)}^{-5}{y}^{1}}{{y}^{-4}} $$ Correct Answer $$ {x}^{15}{y}^{5} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 11.0 : 8.80 Correct Answer 5:4 2. Ratio: $$\frac{2}{3} : \frac{3}{10}$$ Correct Answer 20:9 3. Ratio 15 : 20 Correct Answer 3:4

7.	Write the following as percentages 1. Number: 0.26 Correct Answer 26 % 2. Number: $$\frac{2}{5}$$ Correct Answer 40.0 % 3. Number: 1.9 Correct Answer 190 %

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

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

10.

Powers 1. Please simplify the following expression: $$ {x}^{-2}{x}^{-3} $$ Correct Answer $$\frac{1}{{x}^{5}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{-3}}{{x}^{5}} $$ Correct Answer $$\frac{1}{{x}^{8}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-4}\right)}^{-4} $$ Correct Answer $$ {x}^{16} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-3}\right)}^{2}{y}^{-1}}{{y}^{-5}} $$ Correct Answer $$ \frac{{y}^{4}}{{x}^{6}} $$