1.	Express the following ratios in their simplest forms: 1. Ratio 60 : 8 Correct Answer 15:2 2. Ratio: $$\frac{12}{9} : \frac{9}{12}$$ Correct Answer 16:9 3. Ratio 0.420 : 0.180 Correct Answer 7:3

2.	Write the following as percentages 1. Number: 0.23 Correct Answer 23 % 2. Number: $$\frac{5}{7}$$ Correct Answer 71.4 % 3. Number: 1.8 Correct Answer 180 %

3.	Write the following as a fraction $$ 28.57 \%$$ Correct Answer $$\frac{2}{7}$$

4.	Logs Solve the following for x: $$2\ln\left(5x\right) + \ln\left({\left(5x\right)}^{-6}\right) = \ln\left(x\right) + 4$$ Correct Answer $$ x = {\left(625\exp\left(4\right)\right)}^{\frac{-1}{5}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{2}{x}^{2} $$ Correct Answer $${x}^{4} $$ 2. Please simplify the following expression: $$ {x}^{\frac{5}{5}}{x}^{\frac{2}{5}} $$ Correct Answer $$x{x}^{\frac{2}{5}} $$ 3. Please simplify the following expression: $$ {\left({x}^{5}\right)}^{3} $$ Correct Answer $$ {x}^{15} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-6}\right)}^{1}{y}^{1}}{{y}^{-4}} $$ Correct Answer $$ \frac{{y}^{5}}{{x}^{6}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 6 : 14 Correct Answer 3:7 2. Ratio: $$\frac{11}{11} : \frac{10}{2}$$ Correct Answer 1:5 3. Ratio 0.300 : 0.0400 Correct Answer 15:2

7.	Write the following as percentages 1. Number: 0.44 Correct Answer 44 % 2. Number: $$\frac{5}{6}$$ Correct Answer 83.3 % 3. Number: 1.6 Correct Answer 160 %

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

9.	Logs Solve the following for x: $$\ln\left(-4x\right) + 5\ln\left(-4x\right) = \ln\left(x\right) + -6$$ Correct Answer $$ x = {\left(\frac{\exp\left(-6\right)}{4096}\right)}^{\frac{1}{5}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{5}{x}^{-5} $$ Correct Answer $$1 $$ 2. Please simplify the following expression: $$ {x}^{\frac{-6}{3}}{x}^{\frac{5}{3}} $$ Correct Answer $$\frac{{x}^{\frac{5}{3}}}{{x}^{2}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-4}\right)}^{4} $$ Correct Answer $$ {x}^{-16} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{6}\right)}^{-4}{y}^{-3}}{{y}^{-1}} $$ Correct Answer $$ \frac{1}{{x}^{24}{y}^{2}} $$