1.	Express the following ratios in their simplest forms: 1. Ratio 4 : 8 Correct Answer 1:2 2. Ratio: $$\frac{12}{3} : \frac{2}{11}$$ Correct Answer 22:1 3. Ratio 0.0500 : 0.250 Correct Answer 1:5

2.	Write the following as percentages 1. Number: 0.70 Correct Answer 70 % 2. Number: $$\frac{3}{7}$$ Correct Answer 42.9 % 3. Number: 1.3 Correct Answer 130 %

3.	Write the following as a fraction $$ 80.00 \%$$ Correct Answer $$\frac{4}{5}$$

4.	Logs Solve the following for x: $$\ln\left({\left(6x\right)}^{6}\right) + -6\ln\left(-3x\right) = \ln\left(x\right) + 3$$ Correct Answer $$ x = {\left(\frac{\exp\left(3\right)}{64}\right)}^{-1} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{-3}{x}^{1} $$ Correct Answer $$\frac{1}{{x}^{2}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{-6}}{{x}^{4}} $$ Correct Answer $$\frac{1}{{x}^{10}} $$ 3. Please simplify the following expression: $$ {\left({x}^{3}\right)}^{-4} $$ Correct Answer $$ {x}^{-12} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{5}\right)}^{-6}{y}^{3}}{{y}^{-6}} $$ Correct Answer $$ \frac{{y}^{9}}{{x}^{30}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 42 : 12 Correct Answer 7:2 2. Ratio: $$\frac{10}{8} : \frac{5}{11}$$ Correct Answer 11:4 3. Ratio 38.5 : 11.0 Correct Answer 7:2

7.	Write the following as percentages 1. Number: 0.19 Correct Answer 19 % 2. Number: $$\frac{7}{8}$$ Correct Answer 87.5 % 3. Number: 1.5 Correct Answer 150 %

8.	Write the following as a fraction $$ 42.86 \%$$ Correct Answer $$\frac{3}{7}$$

9.	Logs Solve the following for x: $$\ln\left({\left(6x\right)}^{3}\right) + -6\ln\left(2x\right) = \ln\left(x\right) + -2$$ Correct Answer $$ x = {\left(\frac{8\exp\left(-2\right)}{27}\right)}^{\frac{-1}{4}} $$

10.

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