1.	Express the following ratios in their simplest forms: 1. Ratio 9.90 : 23.1 Correct Answer 3:7 2. Ratio: $$\frac{5}{3} : \frac{3}{12}$$ Correct Answer 20:3 3. Ratio 0.0600 : 0.100 Correct Answer 3:5

2.	Write the following as percentages 1. Number: 0.62 Correct Answer 62 % 2. Number: $$\frac{5}{6}$$ Correct Answer 83.3 % 3. Number: 1.3 Correct Answer 130 %

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

4.	Logs Solve the following for x: $$6\ln\left(5x\right) + 4\ln\left(3x\right) = \ln\left(x\right) + -1$$ Correct Answer $$ x = {\left(\frac{\exp\left(-1\right)}{1265625}\right)}^{\frac{1}{9}} $$

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 0.280 : 0.140 Correct Answer 14:7 2. Ratio: $$\frac{2}{1} : \frac{7}{6}$$ Correct Answer 12:7 3. Ratio 8 : 40 Correct Answer 1:5

7.	Write the following as percentages 1. Number: 0.91 Correct Answer 91 % 2. Number: $$\frac{5}{3}$$ Correct Answer 167 % 3. Number: 1.2 Correct Answer 120 %

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

9.	Logs Solve the following for x: $$\ln\left({\left(5x\right)}^{-1}\right) + (-\ln\left(x\right)) = \ln\left(x\right) + -4$$ Correct Answer $$ x = {\left(5\exp\left(-4\right)\right)}^{\frac{-1}{3}} $$

10.

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