1.	Express the following ratios in their simplest forms: 1. Ratio 2.20 : 4.40 Correct Answer 1:2 2. Ratio: $$\frac{12}{5} : \frac{3}{11}$$ Correct Answer 44:5 3. Ratio 17.6 : 22.0 Correct Answer 4:5

2.	Write the following as percentages 1. Number: 0.84 Correct Answer 84 % 2. Number: $$\frac{3}{7}$$ Correct Answer 42.9 % 3. Number: 1.4 Correct Answer 140 %

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

4.	Logs Solve the following for x: $$\ln\left({\left(3x\right)}^{3}\right) + \ln\left({\left(4x\right)}^{-3}\right) = \ln\left(x\right) + 3$$ Correct Answer $$ x = {\left(\frac{64\exp\left(3\right)}{27}\right)}^{-1} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{3}{x}^{-6} $$ Correct Answer $$\frac{1}{{x}^{3}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{2}}{{x}^{-1}} $$ Correct Answer $${x}^{3} $$ 3. Please simplify the following expression: $$ {\left({x}^{-3}\right)}^{-5} $$ Correct Answer $$ {x}^{15} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{2}\right)}^{3}{y}^{6}}{{y}^{2}} $$ Correct Answer $$ {x}^{6}{y}^{4} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 30 : 12 Correct Answer 5:2 2. Ratio: $$\frac{11}{8} : \frac{7}{5}$$ Correct Answer 55:56 3. Ratio 35 : 70 Correct Answer 7:14

7.	Write the following as percentages 1. Number: 0.13 Correct Answer 13 % 2. Number: $$\frac{7}{8}$$ Correct Answer 87.5 % 3. Number: 2.0 Correct Answer 200 %

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

9.	Logs Solve the following for x: $$(-\ln\left(x\right)) + \ln\left({\left(3x\right)}^{6}\right) = \ln\left(x\right) + 2$$ Correct Answer $$ x = {\left(\frac{\exp\left(2\right)}{729}\right)}^{\frac{1}{4}} $$

10.

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