1.	Express the following ratios in their simplest forms: 1. Ratio 0.0900 : 0.210 Correct Answer 3:7 2. Ratio: $$\frac{12}{8} : \frac{10}{4}$$ Correct Answer 3:5 3. Ratio 13.2 : 23.1 Correct Answer 4:7

2.	Write the following as percentages 1. Number: 0.63 Correct Answer 63 % 2. Number: $$\frac{7}{2}$$ Correct Answer 350 % 3. Number: 1.3 Correct Answer 130 %

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

4.	Logs Solve the following for x: $$-4\ln\left(-5x\right) + \ln\left({x}^{6}\right) = \ln\left(x\right) + 4$$ Correct Answer $$ x = 625\exp\left(4\right) $$

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 48 : 40 Correct Answer 6:5 2. Ratio: $$\frac{7}{12} : \frac{5}{4}$$ Correct Answer 7:15 3. Ratio 38.5 : 16.5 Correct Answer 7:3

7.	Write the following as percentages 1. Number: 0.20 Correct Answer 20 % 2. Number: $$\frac{5}{7}$$ Correct Answer 71.4 % 3. Number: 1.2 Correct Answer 120 %

8.	Write the following as a fraction $$ 42.86 \%$$ Correct Answer $$\frac{3}{7}$$

9.	Logs Solve the following for x: $$2\ln\left(4x\right) + 2\ln\left(x\right) = \ln\left(x\right) + 6$$ Correct Answer $$ x = {\left(\frac{\exp\left(6\right)}{16}\right)}^{\frac{1}{3}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{6}{x}^{1} $$ Correct Answer $${x}^{7} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-4}{5}}{x}^{\frac{2}{5}} $$ Correct Answer $${x}^{\frac{-4}{5}}{x}^{\frac{2}{5}} $$ 3. Please simplify the following expression: $$ {\left({x}^{1}\right)}^{5} $$ Correct Answer $$ {x}^{5} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{3}\right)}^{4}{y}^{2}}{{y}^{3}} $$ Correct Answer $$ \frac{{x}^{12}}{y} $$