1.	Express the following ratios in their simplest forms: 1. Ratio 11.0 : 13.2 Correct Answer 5:6 2. Ratio: $$\frac{6}{1} : \frac{1}{7}$$ Correct Answer 42:1 3. Ratio 33.0 : 92.4 Correct Answer 5:14

2.	Write the following as percentages 1. Number: 0.47 Correct Answer 47 % 2. Number: $$\frac{7}{2}$$ Correct Answer 350 % 3. Number: 2.0 Correct Answer 200 %

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

4.	Logs Solve the following for x: $$4\ln\left(-4x\right) + 4\ln\left(4x\right) = \ln\left(x\right) + -6$$ Correct Answer $$ x = {\left(\frac{\exp\left(-6\right)}{{4}^{8}}\right)}^{\frac{1}{7}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{6}{x}^{3} $$ Correct Answer $${x}^{9} $$ 2. Please simplify the following expression: $$ {x}^{\frac{1}{-4}}{x}^{\frac{-1}{-4}} $$ Correct Answer $${x}^{\frac{-1}{4}}{x}^{\frac{1}{4}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-6}\right)}^{-1} $$ Correct Answer $$ {x}^{6} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{4}\right)}^{2}{y}^{5}}{{y}^{-4}} $$ Correct Answer $$ {x}^{8}{y}^{9} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 24 : 16 Correct Answer 3:2 2. Ratio: $$\frac{5}{1} : \frac{10}{5}$$ Correct Answer 5:2 3. Ratio 8.80 : 26.4 Correct Answer 1:3

7.	Write the following as percentages 1. Number: 0.32 Correct Answer 32 % 2. Number: $$\frac{2}{3}$$ Correct Answer 66.7 % 3. Number: 1.2 Correct Answer 120 %

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

9.	Logs Solve the following for x: $$-6\ln\left(-4x\right) + \ln\left({\left(6x\right)}^{5}\right) = \ln\left(x\right) + -4$$ Correct Answer $$ x = {\left(\frac{128\exp\left(-4\right)}{243}\right)}^{\frac{-1}{2}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{2}{x}^{-4} $$ Correct Answer $$\frac{1}{{x}^{2}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{4}}{{x}^{2}} $$ Correct Answer $${x}^{2} $$ 3. Please simplify the following expression: $$ {\left({x}^{2}\right)}^{5} $$ Correct Answer $$ {x}^{10} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{3}\right)}^{-2}{y}^{1}}{{y}^{-2}} $$ Correct Answer $$ \frac{{y}^{3}}{{x}^{6}} $$