1.	Express the following ratios in their simplest forms: 1. Ratio 19.8 : 26.4 Correct Answer 3:4 2. Ratio: $$\frac{2}{1} : \frac{3}{6}$$ Correct Answer 4:1 3. Ratio 70 : 49 Correct Answer 10:7

2.	Write the following as percentages 1. Number: 0.15 Correct Answer 15 % 2. Number: $$\frac{2}{7}$$ Correct Answer 28.6 % 3. Number: 1.8 Correct Answer 180 %

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

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

5.

Powers 1. Please simplify the following expression: $$ {x}^{-6}{x}^{-4} $$ Correct Answer $$\frac{1}{{x}^{10}} $$ 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: $$ {\left({x}^{2}\right)}^{5} $$ Correct Answer $$ {x}^{10} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{1}\right)}^{3}{y}^{-6}}{{y}^{-5}} $$ Correct Answer $$ \frac{{x}^{3}}{y} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 26.4 : 44.0 Correct Answer 3:5 2. Ratio: $$\frac{12}{12} : \frac{7}{9}$$ Correct Answer 9:7 3. Ratio 0.140 : 0.0400 Correct Answer 7:2

7.	Write the following as percentages 1. Number: 0.99 Correct Answer 99 % 2. Number: $$\frac{5}{2}$$ Correct Answer 250 % 3. Number: 1.4 Correct Answer 140 %

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

9.	Logs Solve the following for x: $$\ln\left({\left(6x\right)}^{2}\right) + \ln\left({\left(5x\right)}^{2}\right) = \ln\left(x\right) + 6$$ Correct Answer $$ x = {\left(\frac{\exp\left(6\right)}{900}\right)}^{\frac{1}{3}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-4}{x}^{6} $$ Correct Answer $${x}^{2} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-5}{-3}}{x}^{\frac{5}{-3}} $$ Correct Answer $${x}^{\frac{5}{3}}{x}^{\frac{-5}{3}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-2}\right)}^{-6} $$ Correct Answer $$ {x}^{12} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-3}\right)}^{-3}{y}^{-2}}{{y}^{2}} $$ Correct Answer $$ \frac{{x}^{9}}{{y}^{4}} $$