1.	Express the following ratios in their simplest forms: 1. Ratio 44.0 : 17.6 Correct Answer 5:2 2. Ratio: $$\frac{3}{7} : \frac{6}{10}$$ Correct Answer 5:7 3. Ratio 0.140 : 1.05 Correct Answer 2:15

2.	Write the following as percentages 1. Number: 0.63 Correct Answer 63 % 2. Number: $$\frac{7}{2}$$ Correct Answer 350 % 3. Number: 2.0 Correct Answer 200 %

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

4.	Logs Solve the following for x: $$-6\ln\left(3x\right) + -3\ln\left(2x\right) = \ln\left(x\right) + -4$$ Correct Answer $$ x = {\left(5832\exp\left(-4\right)\right)}^{\frac{-1}{10}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{-1}{x}^{5} $$ Correct Answer $${x}^{4} $$ 2. Please simplify the following expression: $$ {x}^{\frac{1}{-5}}{x}^{\frac{-5}{-5}} $$ Correct Answer $${x}^{\frac{-1}{5}}x $$ 3. Please simplify the following expression: $$ {\left({x}^{-2}\right)}^{6} $$ Correct Answer $$ {x}^{-12} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{4}\right)}^{2}{y}^{6}}{{y}^{-2}} $$ Correct Answer $$ {x}^{8}{y}^{8} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 0.300 : 0.420 Correct Answer 5:7 2. Ratio: $$\frac{10}{5} : \frac{10}{11}$$ Correct Answer 11:5 3. Ratio 42 : 18 Correct Answer 7:3

7.	Write the following as percentages 1. Number: 0.40 Correct Answer 40 % 2. Number: $$\frac{5}{2}$$ Correct Answer 250 % 3. Number: 1.5 Correct Answer 150 %

8.	Write the following as a fraction $$ 40.00 \%$$ Correct Answer $$\frac{2}{5}$$

9.	Logs Solve the following for x: $$-4\ln\left(5x\right) + \ln\left({\left(2x\right)}^{6}\right) = \ln\left(x\right) + 5$$ Correct Answer $$ x = \frac{625\exp\left(5\right)}{64} $$

10.

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