1.	Express the following ratios in their simplest forms: 1. Ratio 6 : 12 Correct Answer 1:2 2. Ratio: $$\frac{4}{3} : \frac{2}{4}$$ Correct Answer 8:3 3. Ratio 0.560 : 0.240 Correct Answer 7:3

2.	Write the following as percentages 1. Number: 0.46 Correct Answer 46 % 2. Number: $$\frac{2}{7}$$ Correct Answer 28.6 % 3. Number: 1.1 Correct Answer 110 %

3.	Write the following as a fraction $$ 28.57 \%$$ Correct Answer $$\frac{2}{7}$$

4.	Logs Solve the following for x: $$\ln\left({\left((-2)x\right)}^{3}\right) + \ln\left({\left((-3)x\right)}^{-1}\right) = \ln\left(x\right) + 2$$ Correct Answer $$ x = \frac{3\exp\left(2\right)}{8} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{3}{x}^{5} $$ Correct Answer $${x}^{8} $$ 2. Please simplify the following expression: $$ {x}^{\frac{6}{4}}{x}^{\frac{-3}{4}} $$ Correct Answer $${x}^{\frac{3}{2}}{x}^{\frac{-3}{4}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-4}\right)}^{-3} $$ Correct Answer $$ {x}^{12} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{5}\right)}^{-1}{y}^{1}}{{y}^{-2}} $$ Correct Answer $$ \frac{{y}^{3}}{{x}^{5}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 1.12 : 0.240 Correct Answer 14:3 2. Ratio: $$\frac{10}{9} : \frac{4}{2}$$ Correct Answer 5:9 3. Ratio 3.30 : 16.5 Correct Answer 1:5

7.	Write the following as percentages 1. Number: 0.80 Correct Answer 80 % 2. Number: $$\frac{7}{2}$$ Correct Answer 350 % 3. Number: 1.4 Correct Answer 140 %

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

9.	Logs Solve the following for x: $$\ln\left({\left(2x\right)}^{-6}\right) + \ln\left({x}^{-4}\right) = \ln\left(x\right) + -6$$ Correct Answer $$ x = {\left(64\exp\left(-6\right)\right)}^{\frac{-1}{11}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-2}{x}^{2} $$ Correct Answer $$1 $$ 2. Please simplify the following expression: $$ {x}^{\frac{-5}{-2}}{x}^{\frac{1}{-2}} $$ Correct Answer $${x}^{\frac{5}{2}}{x}^{\frac{-1}{2}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-5}\right)}^{-3} $$ Correct Answer $$ {x}^{15} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-4}\right)}^{2}{y}^{3}}{{y}^{-4}} $$ Correct Answer $$ \frac{{y}^{7}}{{x}^{8}} $$