1.	Express the following ratios in their simplest forms: 1. Ratio 5.50 : 11.0 Correct Answer 1:2 2. Ratio: $$\frac{12}{10} : \frac{12}{11}$$ Correct Answer 11:10 3. Ratio 0.0900 : 0.0600 Correct Answer 3:2

2.	Write the following as percentages 1. Number: 0.37 Correct Answer 37 % 2. Number: $$\frac{5}{7}$$ Correct Answer 71.4 % 3. Number: 1.5 Correct Answer 150 %

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

4.	Logs Solve the following for x: $$\ln\left({\left((-2)x\right)}^{-3}\right) + \ln\left({\left((-4)x\right)}^{-1}\right) = \ln\left(x\right) + 2$$ Correct Answer $$ x = {\left(32\exp\left(2\right)\right)}^{\frac{-1}{5}} $$

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 0.240 : 0.560 Correct Answer 3:7 2. Ratio: $$\frac{11}{3} : \frac{3}{4}$$ Correct Answer 44:9 3. Ratio 11.0 : 27.5 Correct Answer 2:5

7.	Write the following as percentages 1. Number: 0.28 Correct Answer 28 % 2. Number: $$\frac{3}{2}$$ Correct Answer 150 % 3. Number: 1.6 Correct Answer 160 %

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

9.	Logs Solve the following for x: $$\ln\left(-5x\right) + \ln\left({\left((-4)x\right)}^{-5}\right) = \ln\left(x\right) + 1$$ Correct Answer $$ x = {\left(\frac{1024\exp\left(1\right)}{5}\right)}^{\frac{-1}{5}} $$

10.

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