1.	Express the following ratios in their simplest forms: 1. Ratio 30.8 : 8.80 Correct Answer 7:2 2. Ratio: $$\frac{1}{3} : \frac{9}{11}$$ Correct Answer 11:27 3. Ratio 0.0800 : 0.160 Correct Answer 1:2

2.	Write the following as percentages 1. Number: 0.41 Correct Answer 41 % 2. Number: $$\frac{2}{3}$$ Correct Answer 66.7 % 3. Number: 1.3 Correct Answer 130 %

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

4.	Logs Solve the following for x: $$\ln\left({\left(6x\right)}^{-2}\right) + \ln\left({\left(3x\right)}^{6}\right) = \ln\left(x\right) + 1$$ Correct Answer $$ x = {\left(\frac{4\exp\left(1\right)}{81}\right)}^{\frac{1}{3}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{-5}{x}^{4} $$ Correct Answer $$\frac{1}{x} $$ 2. Please simplify the following expression: $$ {x}^{\frac{2}{-2}}{x}^{\frac{-1}{-2}} $$ Correct Answer $$\frac{{x}^{\frac{1}{2}}}{x} $$ 3. Please simplify the following expression: $$ {\left({x}^{2}\right)}^{4} $$ Correct Answer $$ {x}^{8} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-2}\right)}^{-5}{y}^{-1}}{{y}^{3}} $$ Correct Answer $$ \frac{{x}^{10}}{{y}^{4}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 0.560 : 0.280 Correct Answer 14:7 2. Ratio: $$\frac{6}{9} : \frac{10}{1}$$ Correct Answer 1:15 3. Ratio 0.360 : 0.180 Correct Answer 6:3

7.	Write the following as percentages 1. Number: 0.47 Correct Answer 47 % 2. Number: $$\frac{2}{3}$$ Correct Answer 66.7 % 3. Number: 1.4 Correct Answer 140 %

8.	Write the following as a fraction $$ 66.67 \%$$ Correct Answer $$\frac{2}{3}$$

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

10.

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