1.	Express the following ratios in their simplest forms: 1. Ratio 0.300 : 0.0900 Correct Answer 10:3 2. Ratio: $$\frac{8}{5} : \frac{6}{7}$$ Correct Answer 28:15 3. Ratio 6 : 12 Correct Answer 1:2

2.	Write the following as percentages 1. Number: 0.73 Correct Answer 73 % 2. Number: $$\frac{5}{2}$$ Correct Answer 250 % 3. Number: 1.1 Correct Answer 110 %

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

4.	Logs Solve the following for x: $$\ln\left({x}^{3}\right) + 4\ln\left(3x\right) = \ln\left(x\right) + 3$$ Correct Answer $$ x = {\left(\frac{\exp\left(3\right)}{81}\right)}^{\frac{1}{6}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{-6}{x}^{3} $$ Correct Answer $$\frac{1}{{x}^{3}} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-6}{2}}{x}^{\frac{3}{2}} $$ Correct Answer $$\frac{{x}^{\frac{3}{2}}}{{x}^{3}} $$ 3. Please simplify the following expression: $$ {\left({x}^{2}\right)}^{-6} $$ Correct Answer $$ {x}^{-12} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-5}\right)}^{-5}{y}^{5}}{{y}^{-1}} $$ Correct Answer $$ {x}^{25}{y}^{6} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 6 : 21 Correct Answer 2:7 2. Ratio: $$\frac{3}{11} : \frac{1}{3}$$ Correct Answer 9:11 3. Ratio 30.8 : 61.6 Correct Answer 7:14

7.	Write the following as percentages 1. Number: 0.13 Correct Answer 13 % 2. Number: $$\frac{3}{2}$$ Correct Answer 150 % 3. Number: 2.0 Correct Answer 200 %

8.	Write the following as a fraction $$ 60.00 \%$$ Correct Answer $$\frac{3}{5}$$

9.	Logs Solve the following for x: $$2\ln\left(6x\right) + \ln\left({x}^{-4}\right) = \ln\left(x\right) + -1$$ Correct Answer $$ x = {\left(\frac{\exp\left(-1\right)}{36}\right)}^{\frac{-1}{3}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-1}{x}^{-6} $$ Correct Answer $$\frac{1}{{x}^{7}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{-1}}{{x}^{3}} $$ Correct Answer $$\frac{1}{{x}^{4}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-4}\right)}^{3} $$ Correct Answer $$ {x}^{-12} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{4}\right)}^{4}{y}^{5}}{{y}^{-2}} $$ Correct Answer $$ {x}^{16}{y}^{7} $$