1.	Express the following ratios in their simplest forms: 1. Ratio 26.4 : 44.0 Correct Answer 3:5 2. Ratio: $$\frac{11}{2} : \frac{5}{9}$$ Correct Answer 99:10 3. Ratio 40 : 48 Correct Answer 5:6

2.	Write the following as percentages 1. Number: 0.76 Correct Answer 76 % 2. Number: $$\frac{3}{7}$$ Correct Answer 42.9 % 3. Number: 1.9 Correct Answer 190 %

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

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

5.

Powers 1. Please simplify the following expression: $$ {x}^{2}{x}^{-4} $$ Correct Answer $$\frac{1}{{x}^{2}} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-2}{4}}{x}^{\frac{4}{4}} $$ Correct Answer $${x}^{\frac{-1}{2}}x $$ 3. Please simplify the following expression: $$ {\left({x}^{6}\right)}^{-4} $$ Correct Answer $$ {x}^{-24} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{5}\right)}^{-6}{y}^{-6}}{{y}^{3}} $$ Correct Answer $$ \frac{1}{{x}^{30}{y}^{9}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 0.200 : 0.400 Correct Answer 5:10 2. Ratio: $$\frac{12}{3} : \frac{9}{12}$$ Correct Answer 16:3 3. Ratio 25 : 30 Correct Answer 5:6

7.	Write the following as percentages 1. Number: 0.36 Correct Answer 36 % 2. Number: $$\frac{5}{3}$$ Correct Answer 167 % 3. Number: 1.3 Correct Answer 130 %

8.	Write the following as a fraction $$ 66.67 \%$$ Correct Answer $$\frac{2}{3}$$

9.	Logs Solve the following for x: $$\ln\left({\left(5x\right)}^{-2}\right) + \ln\left({\left(2x\right)}^{6}\right) = \ln\left(x\right) + -3$$ Correct Answer $$ x = {\left(\frac{25\exp\left(-3\right)}{64}\right)}^{\frac{1}{3}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{4}{x}^{-1} $$ Correct Answer $${x}^{3} $$ 2. Please simplify the following expression: $$ \frac{{x}^{1}}{{x}^{2}} $$ Correct Answer $$\frac{1}{x} $$ 3. Please simplify the following expression: $$ {\left({x}^{4}\right)}^{4} $$ Correct Answer $$ {x}^{16} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{6}\right)}^{4}{y}^{6}}{{y}^{2}} $$ Correct Answer $$ {x}^{24}{y}^{4} $$