1.	Express the following ratios in their simplest forms: 1. Ratio 8 : 28 Correct Answer 2:7 2. Ratio: $$\frac{11}{2} : \frac{10}{5}$$ Correct Answer 11:4 3. Ratio 53.9 : 38.5 Correct Answer 7:5

2.	Write the following as percentages 1. Number: 0.51 Correct Answer 51 % 2. Number: $$\frac{3}{7}$$ Correct Answer 42.9 % 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: $$\ln\left({\left(5x\right)}^{6}\right) + \ln\left({\left(5x\right)}^{6}\right) = \ln\left(x\right) + -4$$ Correct Answer $$ x = {\left(\frac{\exp\left(-4\right)}{{5}^{12}}\right)}^{\frac{1}{11}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{2}{x}^{3} $$ Correct Answer $${x}^{5} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-2}{2}}{x}^{\frac{-2}{2}} $$ Correct Answer $$\frac{1}{{x}^{2}} $$ 3. Please simplify the following expression: $$ {\left({x}^{6}\right)}^{4} $$ Correct Answer $$ {x}^{24} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{3}\right)}^{4}{y}^{-4}}{{y}^{-1}} $$ Correct Answer $$ \frac{{x}^{12}}{{y}^{3}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 4 : 14 Correct Answer 2:7 2. Ratio: $$\frac{10}{4} : \frac{12}{12}$$ Correct Answer 5:2 3. Ratio 19.8 : 23.1 Correct Answer 6:7

7.	Write the following as percentages 1. Number: 0.46 Correct Answer 46 % 2. Number: $$\frac{2}{3}$$ Correct Answer 66.7 % 3. Number: 1.4 Correct Answer 140 %

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

9.	Logs Solve the following for x: $$2\ln\left(2x\right) + \ln\left({x}^{4}\right) = \ln\left(x\right) + -6$$ Correct Answer $$ x = {\left(\frac{\exp\left(-6\right)}{4}\right)}^{\frac{1}{5}} $$

10.

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