1.	Express the following ratios in their simplest forms: 1. Ratio 0.240 : 0.160 Correct Answer 3:2 2. Ratio: $$\frac{9}{6} : \frac{7}{8}$$ Correct Answer 12:7 3. Ratio 0.0800 : 0.560 Correct Answer 1:7

2.	Write the following as percentages 1. Number: 0.067 Correct Answer 6.7 % 2. Number: $$\frac{5}{6}$$ Correct Answer 83.3 % 3. Number: 2.1 Correct Answer 210 %

3.	Write the following as a fraction $$ 66.67 \%$$ Correct Answer $$\frac{2}{3}$$

4.	Logs Solve the following for x: $$6\ln\left(-6x\right) + 6\ln\left(4x\right) = \ln\left(x\right) + 3$$ Correct Answer $$ x = {\left(\frac{\exp\left(3\right)}{191102976}\right)}^{\frac{1}{11}} $$

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 30.8 : 61.6 Correct Answer 7:14 2. Ratio: $$\frac{7}{3} : \frac{1}{1}$$ Correct Answer 7:3 3. Ratio 23.1 : 9.90 Correct Answer 7:3

7.	Write the following as percentages 1. Number: 0.77 Correct Answer 77 % 2. Number: $$\frac{7}{5}$$ Correct Answer 140 % 3. Number: 1.7 Correct Answer 170 %

8.	Write the following as a fraction $$ 60.00 \%$$ Correct Answer $$\frac{3}{5}$$

9.	Logs Solve the following for x: $$\ln\left({\left(2x\right)}^{-4}\right) + 2\ln\left(5x\right) = \ln\left(x\right) + 1$$ Correct Answer $$ x = {\left(\frac{16\exp\left(1\right)}{25}\right)}^{\frac{-1}{3}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-6}{x}^{-6} $$ Correct Answer $$\frac{1}{{x}^{12}} $$ 2. Please simplify the following expression: $$ {x}^{\frac{3}{6}}{x}^{\frac{1}{6}} $$ Correct Answer $${x}^{\frac{1}{2}}{x}^{\frac{1}{6}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-5}\right)}^{1} $$ Correct Answer $$ {x}^{-5} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-5}\right)}^{5}{y}^{3}}{{y}^{5}} $$ Correct Answer $$ \frac{1}{{y}^{2}{x}^{25}} $$