1.	Express the following ratios in their simplest forms: 1. Ratio 5.50 : 11.0 Correct Answer 1:2 2. Ratio: $$\frac{6}{10} : \frac{11}{12}$$ Correct Answer 36:55 3. Ratio 0.120 : 0.210 Correct Answer 4:7

2.	Write the following as percentages 1. Number: 0.71 Correct Answer 71 % 2. Number: $$\frac{5}{2}$$ Correct Answer 250 % 3. Number: 1.7 Correct Answer 170 %

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

4.	Logs Solve the following for x: $$4\ln\left(-2x\right) + \ln\left({\left(4x\right)}^{5}\right) = \ln\left(x\right) + -5$$ Correct Answer $$ x = {\left(\frac{\exp\left(-5\right)}{16384}\right)}^{\frac{1}{8}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{3}{x}^{-6} $$ Correct Answer $$\frac{1}{{x}^{3}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{3}}{{x}^{2}} $$ Correct Answer $$x $$ 3. Please simplify the following expression: $$ {\left({x}^{-6}\right)}^{6} $$ Correct Answer $$ {x}^{-36} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{2}\right)}^{1}{y}^{3}}{{y}^{6}} $$ Correct Answer $$ \frac{{x}^{2}}{{y}^{3}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 15.4 : 30.8 Correct Answer 7:14 2. Ratio: $$\frac{1}{4} : \frac{1}{1}$$ Correct Answer 1:4 3. Ratio 0.0800 : 0.280 Correct Answer 2:7

7.	Write the following as percentages 1. Number: 0.43 Correct Answer 43 % 2. Number: $$\frac{2}{3}$$ Correct Answer 66.7 % 3. Number: 1.9 Correct Answer 190 %

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

9.	Logs Solve the following for x: $$\ln\left({\left(6x\right)}^{5}\right) + -6\ln\left(-5x\right) = \ln\left(x\right) + 6$$ Correct Answer $$ x = {\left(\frac{15625\exp\left(6\right)}{7776}\right)}^{\frac{-1}{2}} $$

10.

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