1.	Express the following ratios in their simplest forms: 1. Ratio 0.350 : 0.100 Correct Answer 7:2 2. Ratio: $$\frac{4}{6} : \frac{11}{2}$$ Correct Answer 4:33 3. Ratio 14 : 49 Correct Answer 2:7

2.	Write the following as percentages 1. Number: 0.024 Correct Answer 2.4 % 2. Number: $$\frac{3}{4}$$ Correct Answer 75.0 % 3. Number: 1.9 Correct Answer 190 %

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

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

5.

Powers 1. Please simplify the following expression: $$ {x}^{6}{x}^{-5} $$ Correct Answer $$x $$ 2. Please simplify the following expression: $$ \frac{{x}^{1}}{{x}^{3}} $$ Correct Answer $$\frac{1}{{x}^{2}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-5}\right)}^{-4} $$ Correct Answer $$ {x}^{20} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-2}\right)}^{-4}{y}^{-2}}{{y}^{3}} $$ Correct Answer $$ \frac{{x}^{8}}{{y}^{5}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 44.0 : 123 Correct Answer 5:14 2. Ratio: $$\frac{11}{4} : \frac{11}{8}$$ Correct Answer 2:1 3. Ratio 22.0 : 61.6 Correct Answer 5:14

7.	Write the following as percentages 1. Number: 0.11 Correct Answer 11 % 2. Number: $$\frac{7}{5}$$ Correct Answer 140 % 3. Number: 1.3 Correct Answer 130 %

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

9.	Logs Solve the following for x: $$2\ln\left(3x\right) + 4\ln\left(-5x\right) = \ln\left(x\right) + 5$$ Correct Answer $$ x = {\left(\frac{\exp\left(5\right)}{5625}\right)}^{\frac{1}{5}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-4}{x}^{-6} $$ Correct Answer $$\frac{1}{{x}^{10}} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-4}{2}}{x}^{\frac{-6}{2}} $$ Correct Answer $$\frac{1}{{x}^{5}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-4}\right)}^{-4} $$ Correct Answer $$ {x}^{16} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{5}\right)}^{2}{y}^{-2}}{{y}^{-4}} $$ Correct Answer $$ {x}^{10}{y}^{2} $$