1.	Express the following ratios in their simplest forms: 1. Ratio 13.2 : 139 Correct Answer 2:21 2. Ratio: $$\frac{11}{12} : \frac{1}{12}$$ Correct Answer 11:1 3. Ratio 35 : 42 Correct Answer 5:6

2.	Write the following as percentages 1. Number: 0.55 Correct Answer 55 % 2. Number: $$\frac{2}{7}$$ Correct Answer 28.6 % 3. Number: 2.0 Correct Answer 200 %

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

4.	Logs Solve the following for x: $$3\ln\left(4x\right) + \ln\left({\left(5x\right)}^{-5}\right) = \ln\left(x\right) + -6$$ Correct Answer $$ x = {\left(\frac{3125\exp\left(-6\right)}{64}\right)}^{\frac{-1}{3}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{6}{x}^{-5} $$ Correct Answer $$x $$ 2. Please simplify the following expression: $$ \frac{{x}^{6}}{{x}^{2}} $$ Correct Answer $${x}^{4} $$ 3. Please simplify the following expression: $$ {\left({x}^{6}\right)}^{-4} $$ Correct Answer $$ {x}^{-24} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-6}\right)}^{-6}{y}^{-5}}{{y}^{5}} $$ Correct Answer $$ \frac{{x}^{36}}{{y}^{10}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 19.8 : 92.4 Correct Answer 3:14 2. Ratio: $$\frac{3}{3} : \frac{5}{11}$$ Correct Answer 11:5 3. Ratio 4 : 8 Correct Answer 1:2

7.	Write the following as percentages 1. Number: 0.50 Correct Answer 50 % 2. Number: $$\frac{7}{8}$$ Correct Answer 87.5 % 3. Number: 1.1 Correct Answer 110 %

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

9.	Logs Solve the following for x: $$\ln\left({\left((-4)x\right)}^{3}\right) + \ln\left({\left((-6)x\right)}^{-1}\right) = \ln\left(x\right) + -2$$ Correct Answer $$ x = \frac{3\exp\left(-2\right)}{32} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{4}{x}^{5} $$ Correct Answer $${x}^{9} $$ 2. Please simplify the following expression: $$ \frac{{x}^{5}}{{x}^{1}} $$ Correct Answer $${x}^{4} $$ 3. Please simplify the following expression: $$ {\left({x}^{2}\right)}^{5} $$ Correct Answer $$ {x}^{10} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{5}\right)}^{2}{y}^{6}}{{y}^{-4}} $$ Correct Answer $$ {x}^{10}{y}^{10} $$