1.	Express the following ratios in their simplest forms: 1. Ratio 0.140 : 0.210 Correct Answer 2:3 2. Ratio: $$\frac{9}{2} : \frac{11}{2}$$ Correct Answer 9:11 3. Ratio 4.40 : 13.2 Correct Answer 1:3

2.	Write the following as percentages 1. Number: 0.86 Correct Answer 86 % 2. Number: $$\frac{3}{7}$$ Correct Answer 42.9 % 3. Number: 2.0 Correct Answer 200 %

3.	Write the following as a fraction $$ 57.14 \%$$ Correct Answer $$\frac{4}{7}$$

4.	Logs Solve the following for x: $$-5\ln\left(-3x\right) + -5\ln\left((-x)\right) = \ln\left(x\right) + -3$$ Correct Answer $$ x = {\left(243\exp\left(-3\right)\right)}^{\frac{-1}{11}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{2}{x}^{5} $$ Correct Answer $${x}^{7} $$ 2. Please simplify the following expression: $$ {x}^{\frac{4}{-1}}{x}^{\frac{1}{-1}} $$ Correct Answer $$\frac{1}{{x}^{5}} $$ 3. Please simplify the following expression: $$ {\left({x}^{3}\right)}^{-3} $$ Correct Answer $$ {x}^{-9} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-1}\right)}^{1}{y}^{-2}}{{y}^{-5}} $$ Correct Answer $$ \frac{{y}^{3}}{x} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 0.280 : 0.0800 Correct Answer 7:2 2. Ratio: $$\frac{4}{7} : \frac{8}{1}$$ Correct Answer 1:14 3. Ratio 8.80 : 22.0 Correct Answer 2:5

7.	Write the following as percentages 1. Number: 0.77 Correct Answer 77 % 2. Number: $$\frac{7}{2}$$ Correct Answer 350 % 3. Number: 1.1 Correct Answer 110 %

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

9.	Logs Solve the following for x: $$2\ln\left(3x\right) + \ln\left(5x\right) = \ln\left(x\right) + -3$$ Correct Answer $$ x = {\left(\frac{\exp\left(-3\right)}{45}\right)}^{\frac{1}{2}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{4}{x}^{-3} $$ Correct Answer $$x $$ 2. Please simplify the following expression: $$ {x}^{\frac{5}{-6}}{x}^{\frac{6}{-6}} $$ Correct Answer $$\frac{{x}^{\frac{-5}{6}}}{x} $$ 3. Please simplify the following expression: $$ {\left({x}^{-2}\right)}^{2} $$ Correct Answer $$ {x}^{-4} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-5}\right)}^{6}{y}^{3}}{{y}^{1}} $$ Correct Answer $$ \frac{{y}^{2}}{{x}^{30}} $$