1.	Express the following ratios in their simplest forms: 1. Ratio 18 : 12 Correct Answer 3:2 2. Ratio: $$\frac{2}{5} : \frac{6}{12}$$ Correct Answer 4:5 3. Ratio 88.0 : 26.4 Correct Answer 10:3

2.	Write the following as percentages 1. Number: 0.82 Correct Answer 82 % 2. Number: $$\frac{2}{3}$$ Correct Answer 66.7 % 3. Number: 1.7 Correct Answer 170 %

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

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

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 49 : 28 Correct Answer 7:4 2. Ratio: $$\frac{3}{7} : \frac{8}{6}$$ Correct Answer 9:28 3. Ratio 3.30 : 16.5 Correct Answer 1:5

7.	Write the following as percentages 1. Number: 0.57 Correct Answer 57 % 2. Number: $$\frac{5}{6}$$ Correct Answer 83.3 % 3. Number: 2.1 Correct Answer 210 %

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

9.	Logs Solve the following for x: $$3\ln\left(-4x\right) + (-\ln\left(-2x\right)) = \ln\left(x\right) + -1$$ Correct Answer $$ x = \frac{\exp\left(-1\right)}{32} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-5}{x}^{6} $$ Correct Answer $$x $$ 2. Please simplify the following expression: $$ {x}^{\frac{-1}{-5}}{x}^{\frac{1}{-5}} $$ Correct Answer $${x}^{\frac{1}{5}}{x}^{\frac{-1}{5}} $$ 3. Please simplify the following expression: $$ {\left({x}^{4}\right)}^{-6} $$ Correct Answer $$ {x}^{-24} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-4}\right)}^{5}{y}^{4}}{{y}^{-2}} $$ Correct Answer $$ \frac{{y}^{6}}{{x}^{20}} $$