1.	Express the following ratios in their simplest forms: 1. Ratio 15.4 : 38.5 Correct Answer 2:5 2. Ratio: $$\frac{8}{7} : \frac{9}{1}$$ Correct Answer 8:63 3. Ratio 33.0 : 23.1 Correct Answer 10:7

2.	Write the following as percentages 1. Number: 0.18 Correct Answer 18 % 2. Number: $$\frac{7}{8}$$ Correct Answer 87.5 % 3. Number: 1.2 Correct Answer 120 %

3.	Write the following as a fraction $$ 71.43 \%$$ Correct Answer $$\frac{5}{7}$$

4.	Logs Solve the following for x: $$\ln\left({\left(4x\right)}^{4}\right) + 2\ln\left(x\right) = \ln\left(x\right) + -2$$ Correct Answer $$ x = {\left(\frac{\exp\left(-2\right)}{256}\right)}^{\frac{1}{5}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{5}{x}^{2} $$ Correct Answer $${x}^{7} $$ 2. Please simplify the following expression: $$ \frac{{x}^{2}}{{x}^{4}} $$ Correct Answer $$\frac{1}{{x}^{2}} $$ 3. Please simplify the following expression: $$ {\left({x}^{2}\right)}^{4} $$ Correct Answer $$ {x}^{8} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{3}\right)}^{-3}{y}^{-3}}{{y}^{-1}} $$ Correct Answer $$ \frac{1}{{x}^{9}{y}^{2}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 77.0 : 38.5 Correct Answer 10:5 2. Ratio: $$\frac{6}{3} : \frac{11}{2}$$ Correct Answer 4:11 3. Ratio 0.0600 : 0.120 Correct Answer 1:2

7.	Write the following as percentages 1. Number: 0.23 Correct Answer 23 % 2. Number: $$\frac{2}{7}$$ Correct Answer 28.6 % 3. Number: 1.5 Correct Answer 150 %

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

9.	Logs Solve the following for x: $$\ln\left({\left(4x\right)}^{6}\right) + \ln\left({\left(6x\right)}^{5}\right) = \ln\left(x\right) + -1$$ Correct Answer $$ x = {\left(\frac{\exp\left(-1\right)}{31850496}\right)}^{\frac{1}{10}} $$

10.

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