1.	Express the following ratios in their simplest forms: 1. Ratio 0.100 : 0.0400 Correct Answer 5:2 2. Ratio: $$\frac{11}{1} : \frac{1}{11}$$ Correct Answer 121:1 3. Ratio 8 : 28 Correct Answer 2:7

2.	Write the following as percentages 1. Number: 0.31 Correct Answer 31 % 2. Number: $$\frac{7}{8}$$ Correct Answer 87.5 % 3. Number: 1.6 Correct Answer 160 %

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

4.	Logs Solve the following for x: $$\ln\left({x}^{-4}\right) + -2\ln\left(-4x\right) = \ln\left(x\right) + -4$$ Correct Answer $$ x = {\left(16\exp\left(-4\right)\right)}^{\frac{-1}{7}} $$

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 25 : 35 Correct Answer 5:7 2. Ratio: $$\frac{5}{1} : \frac{12}{11}$$ Correct Answer 55:12 3. Ratio 0.0600 : 0.420 Correct Answer 1:7

7.	Write the following as percentages 1. Number: 0.50 Correct Answer 50 % 2. Number: $$\frac{7}{5}$$ Correct Answer 140 % 3. Number: 1.4 Correct Answer 140 %

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

9.	Logs Solve the following for x: $$-4\ln\left(-5x\right) + -2\ln\left((-x)\right) = \ln\left(x\right) + -2$$ Correct Answer $$ x = {\left(625\exp\left(-2\right)\right)}^{\frac{-1}{7}} $$

10.

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