1.	Express the following ratios in their simplest forms: 1. Ratio 0.450 : 0.100 Correct Answer 9:2 2. Ratio: $$\frac{2}{11} : \frac{2}{4}$$ Correct Answer 4:11 3. Ratio 6.60 : 46.2 Correct Answer 1:7

2.	Write the following as percentages 1. Number: 0.36 Correct Answer 36 % 2. Number: $$\frac{7}{2}$$ Correct Answer 350 % 3. Number: 1.3 Correct Answer 130 %

3.	Write the following as a fraction $$ 80.00 \%$$ Correct Answer $$\frac{4}{5}$$

4.	Logs Solve the following for x: $$(-\ln\left(4x\right)) + 3\ln\left(4x\right) = \ln\left(x\right) + -5$$ Correct Answer $$ x = \frac{\exp\left(-5\right)}{16} $$

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 0.420 : 0.360 Correct Answer 7:6 2. Ratio: $$\frac{5}{4} : \frac{8}{7}$$ Correct Answer 35:32 3. Ratio 8.80 : 26.4 Correct Answer 1:3

7.	Write the following as percentages 1. Number: 0.60 Correct Answer 60 % 2. Number: $$\frac{5}{6}$$ Correct Answer 83.3 % 3. Number: 1.4 Correct Answer 140 %

8.	Write the following as a fraction $$ 50.00 \%$$ Correct Answer $$\frac{1}{2}$$

9.	Logs Solve the following for x: $$3\ln\left(-3x\right) + (-\ln\left(-4x\right)) = \ln\left(x\right) + 1$$ Correct Answer $$ x = \frac{4\exp\left(1\right)}{27} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{6}{x}^{-5} $$ Correct Answer $$x $$ 2. Please simplify the following expression: $$ \frac{{x}^{2}}{{x}^{4}} $$ Correct Answer $$\frac{1}{{x}^{2}} $$ 3. Please simplify the following expression: $$ {\left({x}^{6}\right)}^{-3} $$ Correct Answer $$ {x}^{-18} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{2}\right)}^{5}{y}^{3}}{{y}^{5}} $$ Correct Answer $$ \frac{{x}^{10}}{{y}^{2}} $$