1.	Express the following ratios in their simplest forms: 1. Ratio 0.210 : 0.270 Correct Answer 7:9 2. Ratio: $$\frac{8}{6} : \frac{1}{9}$$ Correct Answer 12:1 3. Ratio 35 : 21 Correct Answer 5:3

2.	Write the following as percentages 1. Number: 0.99 Correct Answer 99 % 2. Number: $$\frac{5}{3}$$ Correct Answer 167 % 3. Number: 1.5 Correct Answer 150 %

3.	Write the following as a fraction $$ 33.33 \%$$ Correct Answer $$\frac{1}{3}$$

4.	Logs Solve the following for x: $$\ln\left({\left(5x\right)}^{2}\right) + -6\ln\left(2x\right) = \ln\left(x\right) + 2$$ Correct Answer $$ x = {\left(\frac{64\exp\left(2\right)}{25}\right)}^{\frac{-1}{5}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{6}{x}^{1} $$ Correct Answer $${x}^{7} $$ 2. Please simplify the following expression: $$ \frac{{x}^{1}}{{x}^{-3}} $$ Correct Answer $${x}^{4} $$ 3. Please simplify the following expression: $$ {\left({x}^{2}\right)}^{-6} $$ Correct Answer $$ {x}^{-12} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{4}\right)}^{2}{y}^{3}}{{y}^{5}} $$ Correct Answer $$ \frac{{x}^{8}}{{y}^{2}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 0.210 : 0.700 Correct Answer 3:10 2. Ratio: $$\frac{1}{8} : \frac{6}{5}$$ Correct Answer 5:48 3. Ratio 40 : 80 Correct Answer 5:10

7.	Write the following as percentages 1. Number: 0.51 Correct Answer 51 % 2. Number: $$\frac{7}{2}$$ Correct Answer 350 % 3. Number: 2.1 Correct Answer 210 %

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

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

10.

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