1.	Express the following ratios in their simplest forms: 1. Ratio 0.840 : 0.300 Correct Answer 14:5 2. Ratio: $$\frac{11}{7} : \frac{12}{8}$$ Correct Answer 22:21 3. Ratio 0.250 : 0.300 Correct Answer 5:6

2.	Write the following as percentages 1. Number: 0.22 Correct Answer 22 % 2. Number: $$\frac{7}{5}$$ Correct Answer 140 % 3. Number: 1.5 Correct Answer 150 %

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

4.	Logs Solve the following for x: $$\ln\left(5x\right) + \ln\left({\left(2x\right)}^{2}\right) = \ln\left(x\right) + -4$$ Correct Answer $$ x = {\left(\frac{\exp\left(-4\right)}{20}\right)}^{\frac{1}{2}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{-1}{x}^{-6} $$ Correct Answer $$\frac{1}{{x}^{7}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{6}}{{x}^{1}} $$ Correct Answer $${x}^{5} $$ 3. Please simplify the following expression: $$ {\left({x}^{6}\right)}^{-2} $$ Correct Answer $$ {x}^{-12} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{4}\right)}^{6}{y}^{4}}{{y}^{1}} $$ Correct Answer $$ {x}^{24}{y}^{3} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 8.80 : 26.4 Correct Answer 1:3 2. Ratio: $$\frac{5}{4} : \frac{8}{1}$$ Correct Answer 5:32 3. Ratio 0.350 : 0.210 Correct Answer 5:3

7.	Write the following as percentages 1. Number: 0.87 Correct Answer 87 % 2. Number: $$\frac{5}{2}$$ Correct Answer 250 % 3. Number: 2.0 Correct Answer 200 %

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

9.	Logs Solve the following for x: $$\ln\left({\left(2x\right)}^{-4}\right) + 6\ln\left(-6x\right) = \ln\left(x\right) + 3$$ Correct Answer $$ x = \frac{\exp\left(3\right)}{2916} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{6}{x}^{-2} $$ Correct Answer $${x}^{4} $$ 2. Please simplify the following expression: $$ \frac{{x}^{-6}}{{x}^{-5}} $$ Correct Answer $$\frac{1}{x} $$ 3. Please simplify the following expression: $$ {\left({x}^{-4}\right)}^{2} $$ Correct Answer $$ {x}^{-8} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-3}\right)}^{-4}{y}^{-1}}{{y}^{-1}} $$ Correct Answer $$ {x}^{12} $$