1.	Express the following ratios in their simplest forms: 1. Ratio 22.0 : 44.0 Correct Answer 5:10 2. Ratio: $$\frac{7}{12} : \frac{6}{5}$$ Correct Answer 35:72 3. Ratio 0.200 : 0.240 Correct Answer 5:6

2.	Write the following as percentages 1. Number: 0.88 Correct Answer 88 % 2. Number: $$\frac{3}{2}$$ Correct Answer 150 % 3. Number: 1.7 Correct Answer 170 %

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

4.	Logs Solve the following for x: $$3\ln\left(3x\right) + 5\ln\left(3x\right) = \ln\left(x\right) + 3$$ Correct Answer $$ x = {\left(\frac{\exp\left(3\right)}{{3}^{8}}\right)}^{\frac{1}{7}} $$

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 0.150 : 0.300 Correct Answer 5:10 2. Ratio: $$\frac{2}{11} : \frac{9}{1}$$ Correct Answer 2:99 3. Ratio 0.0600 : 0.120 Correct Answer 1:2

7.	Write the following as percentages 1. Number: 0.16 Correct Answer 16 % 2. Number: $$\frac{5}{6}$$ Correct Answer 83.3 % 3. Number: 1.2 Correct Answer 120 %

8.	Write the following as a fraction $$ 20.00 \%$$ Correct Answer $$\frac{1}{5}$$

9.	Logs Solve the following for x: $$3\ln\left(-4x\right) + 3\ln\left(-2x\right) = \ln\left(x\right) + 5$$ Correct Answer $$ x = {\left(\frac{\exp\left(5\right)}{512}\right)}^{\frac{1}{5}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-1}{x}^{-2} $$ Correct Answer $$\frac{1}{{x}^{3}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{-3}}{{x}^{-2}} $$ Correct Answer $$\frac{1}{x} $$ 3. Please simplify the following expression: $$ {\left({x}^{6}\right)}^{6} $$ Correct Answer $$ {x}^{36} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{2}\right)}^{5}{y}^{-6}}{{y}^{-3}} $$ Correct Answer $$ \frac{{x}^{10}}{{y}^{3}} $$