1.	Express the following ratios in their simplest forms: 1. Ratio 16.5 : 77.0 Correct Answer 3:14 2. Ratio: $$\frac{7}{4} : \frac{7}{12}$$ Correct Answer 3:1 3. Ratio 15 : 35 Correct Answer 3:7

2.	Write the following as percentages 1. Number: 0.14 Correct Answer 14 % 2. Number: $$\frac{3}{5}$$ Correct Answer 60.0 % 3. Number: 1.3 Correct Answer 130 %

3.	Write the following as a fraction $$ 66.67 \%$$ Correct Answer $$\frac{2}{3}$$

4.	Logs Solve the following for x: $$-4\ln\left(5x\right) + \ln\left({\left(4x\right)}^{-6}\right) = \ln\left(x\right) + 2$$ Correct Answer $$ x = {\left(2560000\exp\left(2\right)\right)}^{\frac{-1}{11}} $$

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 30.8 : 53.9 Correct Answer 4:7 2. Ratio: $$\frac{11}{10} : \frac{7}{8}$$ Correct Answer 44:35 3. Ratio 15 : 25 Correct Answer 3:5

7.	Write the following as percentages 1. Number: 0.0042 Correct Answer 0.42 % 2. Number: $$\frac{2}{7}$$ Correct Answer 28.6 % 3. Number: 1.5 Correct Answer 150 %

8.	Write the following as a fraction $$ 66.67 \%$$ Correct Answer $$\frac{2}{3}$$

9.	Logs Solve the following for x: $$\ln\left(4x\right) + \ln\left(6x\right) = \ln\left(x\right) + 1$$ Correct Answer $$ x = \frac{\exp\left(1\right)}{24} $$

10.

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