1.	Express the following ratios in their simplest forms: 1. Ratio 16 : 24 Correct Answer 2:3 2. Ratio: $$\frac{6}{2} : \frac{6}{10}$$ Correct Answer 5:1 3. Ratio 4.40 : 13.2 Correct Answer 1:3

2.	Write the following as percentages 1. Number: 0.88 Correct Answer 88 % 2. Number: $$\frac{5}{6}$$ Correct Answer 83.3 % 3. Number: 1.8 Correct Answer 180 %

3.	Write the following as a fraction $$ 71.43 \%$$ Correct Answer $$\frac{5}{7}$$

4.	Logs Solve the following for x: $$\ln\left({\left(2x\right)}^{2}\right) + 4\ln\left(-3x\right) = \ln\left(x\right) + 4$$ Correct Answer $$ x = {\left(\frac{\exp\left(4\right)}{324}\right)}^{\frac{1}{5}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{1}{x}^{2} $$ Correct Answer $${x}^{3} $$ 2. Please simplify the following expression: $$ \frac{{x}^{-6}}{{x}^{-2}} $$ Correct Answer $$\frac{1}{{x}^{4}} $$ 3. Please simplify the following expression: $$ {\left({x}^{2}\right)}^{5} $$ Correct Answer $$ {x}^{10} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{4}\right)}^{-4}{y}^{-3}}{{y}^{6}} $$ Correct Answer $$ \frac{1}{{x}^{16}{y}^{9}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 0.250 : 0.100 Correct Answer 5:2 2. Ratio: $$\frac{3}{8} : \frac{8}{10}$$ Correct Answer 15:32 3. Ratio 0.160 : 0.400 Correct Answer 2:5

7.	Write the following as percentages 1. Number: 0.44 Correct Answer 44 % 2. Number: $$\frac{5}{7}$$ Correct Answer 71.4 % 3. Number: 1.2 Correct Answer 120 %

8.	Write the following as a fraction $$ 33.33 \%$$ Correct Answer $$\frac{1}{3}$$

9.	Logs Solve the following for x: $$6\ln\left(-4x\right) + 4\ln\left(2x\right) = \ln\left(x\right) + 5$$ Correct Answer $$ x = {\left(\frac{\exp\left(5\right)}{65536}\right)}^{\frac{1}{9}} $$

10.

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