1.	Express the following ratios in their simplest forms: 1. Ratio 32 : 24 Correct Answer 4:3 2. Ratio: $$\frac{4}{6} : \frac{8}{3}$$ Correct Answer 1:4 3. Ratio 0.250 : 0.350 Correct Answer 5:7

2.	Write the following as percentages 1. Number: 0.49 Correct Answer 49 % 2. Number: $$\frac{3}{7}$$ Correct Answer 42.9 % 3. Number: 1.1 Correct Answer 110 %

3.	Write the following as a fraction $$ 14.29 \%$$ Correct Answer $$\frac{1}{7}$$

4.	Logs Solve the following for x: $$5\ln\left(6x\right) + \ln\left({\left(5x\right)}^{6}\right) = \ln\left(x\right) + 6$$ Correct Answer $$ x = {\left(\frac{\exp\left(6\right)}{121500000}\right)}^{\frac{1}{10}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{6}{x}^{3} $$ Correct Answer $${x}^{9} $$ 2. Please simplify the following expression: $$ {x}^{\frac{5}{1}}{x}^{\frac{-6}{1}} $$ Correct Answer $$\frac{1}{x} $$ 3. Please simplify the following expression: $$ {\left({x}^{2}\right)}^{-4} $$ Correct Answer $$ {x}^{-8} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-4}\right)}^{-4}{y}^{-6}}{{y}^{-2}} $$ Correct Answer $$ \frac{{x}^{16}}{{y}^{4}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 16.5 : 6.60 Correct Answer 5:2 2. Ratio: $$\frac{9}{8} : \frac{1}{10}$$ Correct Answer 45:4 3. Ratio 92.4 : 30.8 Correct Answer 21:7

7.	Write the following as percentages 1. Number: 0.015 Correct Answer 1.5 % 2. Number: $$\frac{3}{5}$$ Correct Answer 60.0 % 3. Number: 2.0 Correct Answer 200 %

8.	Write the following as a fraction $$ 57.14 \%$$ Correct Answer $$\frac{4}{7}$$

9.	Logs Solve the following for x: $$\ln\left({\left(5x\right)}^{6}\right) + \ln\left({\left(4x\right)}^{5}\right) = \ln\left(x\right) + -1$$ Correct Answer $$ x = {\left(\frac{\exp\left(-1\right)}{16000000}\right)}^{\frac{1}{10}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-4}{x}^{-6} $$ Correct Answer $$\frac{1}{{x}^{10}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{1}}{{x}^{4}} $$ Correct Answer $$\frac{1}{{x}^{3}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-3}\right)}^{-6} $$ Correct Answer $$ {x}^{18} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{5}\right)}^{1}{y}^{3}}{{y}^{4}} $$ Correct Answer $$ \frac{{x}^{5}}{y} $$