1.	Express the following ratios in their simplest forms: 1. Ratio 7 : 35 Correct Answer 1:5 2. Ratio: $$\frac{5}{7} : \frac{11}{11}$$ Correct Answer 5:7 3. Ratio 61.6 : 17.6 Correct Answer 7:2

2.	Write the following as percentages 1. Number: 0.76 Correct Answer 76 % 2. Number: $$\frac{7}{3}$$ Correct Answer 233 % 3. Number: 1.5 Correct Answer 150 %

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

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

5.

Powers 1. Please simplify the following expression: $$ {x}^{-3}{x}^{5} $$ Correct Answer $${x}^{2} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-1}{-1}}{x}^{\frac{-6}{-1}} $$ Correct Answer $${x}^{7} $$ 3. Please simplify the following expression: $$ {\left({x}^{-4}\right)}^{-6} $$ Correct Answer $$ {x}^{24} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-3}\right)}^{5}{y}^{3}}{{y}^{2}} $$ Correct Answer $$ \frac{y}{{x}^{15}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 12 : 18 Correct Answer 2:3 2. Ratio: $$\frac{3}{12} : \frac{7}{9}$$ Correct Answer 9:28 3. Ratio 8.80 : 44.0 Correct Answer 1:5

7.	Write the following as percentages 1. Number: 0.091 Correct Answer 9.1 % 2. Number: $$\frac{7}{3}$$ Correct Answer 233 % 3. Number: 1.8 Correct Answer 180 %

8.	Write the following as a fraction $$ 14.29 \%$$ Correct Answer $$\frac{1}{7}$$

9.	Logs Solve the following for x: $$5\ln\left(2x\right) + \ln\left(6x\right) = \ln\left(x\right) + -2$$ Correct Answer $$ x = {\left(\frac{\exp\left(-2\right)}{192}\right)}^{\frac{1}{5}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-1}{x}^{2} $$ Correct Answer $$x $$ 2. Please simplify the following expression: $$ {x}^{\frac{-2}{4}}{x}^{\frac{-1}{4}} $$ Correct Answer $${x}^{\frac{-1}{2}}{x}^{\frac{-1}{4}} $$ 3. Please simplify the following expression: $$ {\left({x}^{4}\right)}^{4} $$ Correct Answer $$ {x}^{16} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-3}\right)}^{-5}{y}^{-5}}{{y}^{-3}} $$ Correct Answer $$ \frac{{x}^{15}}{{y}^{2}} $$