1.	Express the following ratios in their simplest forms: 1. Ratio 0.0700 : 0.490 Correct Answer 1:7 2. Ratio: $$\frac{9}{9} : \frac{5}{4}$$ Correct Answer 4:5 3. Ratio 30 : 84 Correct Answer 5:14

2.	Write the following as percentages 1. Number: 0.42 Correct Answer 42 % 2. Number: $$\frac{7}{5}$$ Correct Answer 140 % 3. Number: 1.8 Correct Answer 180 %

3.	Write the following as a fraction $$ 50.00 \%$$ Correct Answer $$\frac{1}{2}$$

4.	Logs Solve the following for x: $$-6\ln\left(-2x\right) + \ln\left({\left(6x\right)}^{2}\right) = \ln\left(x\right) + 6$$ Correct Answer $$ x = {\left(\frac{16\exp\left(6\right)}{9}\right)}^{\frac{-1}{5}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{-4}{x}^{-4} $$ Correct Answer $$\frac{1}{{x}^{8}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{3}}{{x}^{-4}} $$ Correct Answer $${x}^{7} $$ 3. Please simplify the following expression: $$ {\left({x}^{1}\right)}^{5} $$ Correct Answer $$ {x}^{5} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-1}\right)}^{-3}{y}^{-5}}{{y}^{-1}} $$ Correct Answer $$ \frac{{x}^{3}}{{y}^{4}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 30 : 12 Correct Answer 5:2 2. Ratio: $$\frac{12}{2} : \frac{9}{1}$$ Correct Answer 2:3 3. Ratio 0.0800 : 0.160 Correct Answer 1:2

7.	Write the following as percentages 1. Number: 0.86 Correct Answer 86 % 2. Number: $$\frac{5}{3}$$ Correct Answer 167 % 3. Number: 1.4 Correct Answer 140 %

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

9.	Logs Solve the following for x: $$-5\ln\left(6x\right) + \ln\left({\left(2x\right)}^{-1}\right) = \ln\left(x\right) + -1$$ Correct Answer $$ x = {\left(15552\exp\left(-1\right)\right)}^{\frac{-1}{7}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-4}{x}^{6} $$ Correct Answer $${x}^{2} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-6}{-1}}{x}^{\frac{6}{-1}} $$ Correct Answer $$1 $$ 3. Please simplify the following expression: $$ {\left({x}^{3}\right)}^{4} $$ Correct Answer $$ {x}^{12} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{3}\right)}^{3}{y}^{6}}{{y}^{2}} $$ Correct Answer $$ {x}^{9}{y}^{4} $$