1.	Express the following ratios in their simplest forms: 1. Ratio 0.100 : 0.150 Correct Answer 2:3 2. Ratio: $$\frac{5}{4} : \frac{7}{7}$$ Correct Answer 5:4 3. Ratio 30.8 : 38.5 Correct Answer 4:5

2.	Write the following as percentages 1. Number: 0.70 Correct Answer 70 % 2. Number: $$\frac{7}{3}$$ Correct Answer 233 % 3. Number: 1.2 Correct Answer 120 %

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

4.	Logs Solve the following for x: $$\ln\left({\left((-x)\right)}^{-3}\right) + \ln\left({\left((-6)x\right)}^{5}\right) = \ln\left(x\right) + 6$$ Correct Answer $$ x = \frac{\exp\left(6\right)}{7776} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{2}{x}^{3} $$ Correct Answer $${x}^{5} $$ 2. Please simplify the following expression: $$ \frac{{x}^{6}}{{x}^{-5}} $$ Correct Answer $${x}^{11} $$ 3. Please simplify the following expression: $$ {\left({x}^{-4}\right)}^{5} $$ Correct Answer $$ {x}^{-20} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-3}\right)}^{-4}{y}^{6}}{{y}^{-3}} $$ Correct Answer $$ {x}^{12}{y}^{9} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 15.4 : 6.60 Correct Answer 7:3 2. Ratio: $$\frac{4}{7} : \frac{10}{6}$$ Correct Answer 12:35 3. Ratio 0.0700 : 0.350 Correct Answer 1:5

7.	Write the following as percentages 1. Number: 0.97 Correct Answer 97 % 2. Number: $$\frac{5}{3}$$ Correct Answer 167 % 3. Number: 1.3 Correct Answer 130 %

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

9.	Logs Solve the following for x: $$\ln\left({\left(2x\right)}^{-4}\right) + 4\ln\left(3x\right) = \ln\left(x\right) + -1$$ Correct Answer $$ x = {\left(\frac{16\exp\left(-1\right)}{81}\right)}^{-1} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-3}{x}^{-3} $$ Correct Answer $$\frac{1}{{x}^{6}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{4}}{{x}^{-3}} $$ Correct Answer $${x}^{7} $$ 3. Please simplify the following expression: $$ {\left({x}^{-5}\right)}^{-6} $$ Correct Answer $$ {x}^{30} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{5}\right)}^{-4}{y}^{-3}}{{y}^{5}} $$ Correct Answer $$ \frac{1}{{x}^{20}{y}^{8}} $$