1.	Express the following ratios in their simplest forms: 1. Ratio 0.400 : 0.120 Correct Answer 10:3 2. Ratio: $$\frac{9}{6} : \frac{1}{8}$$ Correct Answer 12:1 3. Ratio 26.4 : 17.6 Correct Answer 3:2

2.	Write the following as percentages 1. Number: 0.51 Correct Answer 51 % 2. Number: $$\frac{7}{3}$$ Correct Answer 233 % 3. Number: 1.2 Correct Answer 120 %

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

4.	Logs Solve the following for x: $$-4\ln\left(2x\right) + \ln\left({\left(4x\right)}^{-4}\right) = \ln\left(x\right) + 3$$ Correct Answer $$ x = {\left(4096\exp\left(3\right)\right)}^{\frac{-1}{9}} $$

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 0.0400 : 0.0800 Correct Answer 1:2 2. Ratio: $$\frac{7}{10} : \frac{7}{4}$$ Correct Answer 2:5 3. Ratio 6.60 : 4.40 Correct Answer 3:2

7.	Write the following as percentages 1. Number: 0.42 Correct Answer 42 % 2. Number: $$\frac{7}{2}$$ Correct Answer 350 % 3. Number: 1.7 Correct Answer 170 %

8.	Write the following as a fraction $$ 40.00 \%$$ Correct Answer $$\frac{2}{5}$$

9.	Logs Solve the following for x: $$\ln\left({\left(5x\right)}^{-4}\right) + 6\ln\left(x\right) = \ln\left(x\right) + -4$$ Correct Answer $$ x = 625\exp\left(-4\right) $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{1}{x}^{-1} $$ Correct Answer $$1 $$ 2. Please simplify the following expression: $$ \frac{{x}^{1}}{{x}^{-1}} $$ Correct Answer $${x}^{2} $$ 3. Please simplify the following expression: $$ {\left({x}^{-3}\right)}^{3} $$ Correct Answer $$ {x}^{-9} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{6}\right)}^{6}{y}^{-5}}{{y}^{1}} $$ Correct Answer $$ \frac{{x}^{36}}{{y}^{6}} $$