1.	Express the following ratios in their simplest forms: 1. Ratio 48 : 40 Correct Answer 6:5 2. Ratio: $$\frac{3}{10} : \frac{5}{9}$$ Correct Answer 27:50 3. Ratio 2.20 : 6.60 Correct Answer 1:3

2.	Write the following as percentages 1. Number: 0.19 Correct Answer 19 % 2. Number: $$\frac{5}{3}$$ Correct Answer 167 % 3. Number: 1.7 Correct Answer 170 %

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

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

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 0.0200 : 0.0400 Correct Answer 1:2 2. Ratio: $$\frac{12}{7} : \frac{11}{8}$$ Correct Answer 96:77 3. Ratio 38.5 : 53.9 Correct Answer 5:7

7.	Write the following as percentages 1. Number: 0.64 Correct Answer 64 % 2. Number: $$\frac{2}{3}$$ Correct Answer 66.7 % 3. Number: 1.8 Correct Answer 180 %

8.	Write the following as a fraction $$ 20.00 \%$$ Correct Answer $$\frac{1}{5}$$

9.	Logs Solve the following for x: $$\ln\left({\left(5x\right)}^{-2}\right) + \ln\left({\left(5x\right)}^{-5}\right) = \ln\left(x\right) + -1$$ Correct Answer $$ x = {\left(78125\exp\left(-1\right)\right)}^{\frac{-1}{8}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-3}{x}^{3} $$ Correct Answer $$1 $$ 2. Please simplify the following expression: $$ \frac{{x}^{-2}}{{x}^{4}} $$ Correct Answer $$\frac{1}{{x}^{6}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-3}\right)}^{-6} $$ Correct Answer $$ {x}^{18} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-1}\right)}^{4}{y}^{-5}}{{y}^{6}} $$ Correct Answer $$ \frac{1}{{x}^{4}{y}^{11}} $$