1.	Express the following ratios in their simplest forms: 1. Ratio 0.0800 : 0.120 Correct Answer 2:3 2. Ratio: $$\frac{5}{7} : \frac{3}{6}$$ Correct Answer 10:7 3. Ratio 25 : 10 Correct Answer 5:2

2.	Write the following as percentages 1. Number: 0.18 Correct Answer 18 % 2. Number: $$\frac{7}{3}$$ Correct Answer 233 % 3. Number: 1.1 Correct Answer 110 %

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

4.	Logs Solve the following for x: $$\ln\left({\left(5x\right)}^{2}\right) + 3\ln\left(6x\right) = \ln\left(x\right) + -5$$ Correct Answer $$ x = {\left(\frac{\exp\left(-5\right)}{5400}\right)}^{\frac{1}{4}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{2}{x}^{-1} $$ Correct Answer $$x $$ 2. Please simplify the following expression: $$ \frac{{x}^{-5}}{{x}^{2}} $$ Correct Answer $$\frac{1}{{x}^{7}} $$ 3. Please simplify the following expression: $$ {\left({x}^{3}\right)}^{3} $$ Correct Answer $$ {x}^{9} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{1}\right)}^{-6}{y}^{4}}{{y}^{1}} $$ Correct Answer $$ \frac{{y}^{3}}{{x}^{6}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 0.100 : 0.0400 Correct Answer 5:2 2. Ratio: $$\frac{10}{10} : \frac{3}{11}$$ Correct Answer 11:3 3. Ratio 8.80 : 61.6 Correct Answer 1:7

7.	Write the following as percentages 1. Number: 0.88 Correct Answer 88 % 2. Number: $$\frac{3}{7}$$ Correct Answer 42.9 % 3. Number: 1.1 Correct Answer 110 %

8.	Write the following as a fraction $$ 20.00 \%$$ Correct Answer $$\frac{1}{5}$$

9.	Logs Solve the following for x: $$\ln\left(x\right) + -6\ln\left(4x\right) = \ln\left(x\right) + 1$$ Correct Answer $$ x = {\left(4096\exp\left(1\right)\right)}^{\frac{-1}{6}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{5}{x}^{-1} $$ Correct Answer $${x}^{4} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-3}{1}}{x}^{\frac{4}{1}} $$ Correct Answer $$x $$ 3. Please simplify the following expression: $$ {\left({x}^{3}\right)}^{-4} $$ Correct Answer $$ {x}^{-12} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-3}\right)}^{-6}{y}^{6}}{{y}^{1}} $$ Correct Answer $$ {x}^{18}{y}^{5} $$