1.	Express the following ratios in their simplest forms: 1. Ratio 30.8 : 61.6 Correct Answer 7:14 2. Ratio: $$\frac{8}{1} : \frac{11}{3}$$ Correct Answer 24:11 3. Ratio 13.2 : 19.8 Correct Answer 2:3

2.	Write the following as percentages 1. Number: 0.75 Correct Answer 75 % 2. Number: $$\frac{7}{8}$$ Correct Answer 87.5 % 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: $$\ln\left(3x\right) + \ln\left({\left(6x\right)}^{4}\right) = \ln\left(x\right) + 1$$ Correct Answer $$ x = {\left(\frac{\exp\left(1\right)}{3888}\right)}^{\frac{1}{4}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{-3}{x}^{-6} $$ Correct Answer $$\frac{1}{{x}^{9}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{5}}{{x}^{-2}} $$ Correct Answer $${x}^{7} $$ 3. Please simplify the following expression: $$ {\left({x}^{-3}\right)}^{5} $$ Correct Answer $$ {x}^{-15} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-2}\right)}^{3}{y}^{6}}{{y}^{1}} $$ Correct Answer $$ \frac{{y}^{5}}{{x}^{6}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 16 : 56 Correct Answer 2:7 2. Ratio: $$\frac{4}{2} : \frac{6}{7}$$ Correct Answer 7:3 3. Ratio 0.210 : 0.420 Correct Answer 3:6

7.	Write the following as percentages 1. Number: 0.11 Correct Answer 11 % 2. Number: $$\frac{2}{3}$$ Correct Answer 66.7 % 3. Number: 1.5 Correct Answer 150 %

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

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

10.

Powers 1. Please simplify the following expression: $$ {x}^{6}{x}^{5} $$ Correct Answer $${x}^{11} $$ 2. Please simplify the following expression: $$ \frac{{x}^{-2}}{{x}^{-1}} $$ Correct Answer $$\frac{1}{x} $$ 3. Please simplify the following expression: $$ {\left({x}^{-4}\right)}^{5} $$ Correct Answer $$ {x}^{-20} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{2}\right)}^{-5}{y}^{-2}}{{y}^{-4}} $$ Correct Answer $$ \frac{{y}^{2}}{{x}^{10}} $$