1.	Express the following ratios in their simplest forms: 1. Ratio 4.40 : 8.80 Correct Answer 1:2 2. Ratio: $$\frac{7}{6} : \frac{12}{11}$$ Correct Answer 77:72 3. Ratio 60 : 18 Correct Answer 10:3

2.	Write the following as percentages 1. Number: 0.50 Correct Answer 50 % 2. Number: $$\frac{3}{4}$$ Correct Answer 75.0 % 3. Number: 2.1 Correct Answer 210 %

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

4.	Logs Solve the following for x: $$3\ln\left(-5x\right) + \ln\left(-3x\right) = \ln\left(x\right) + 4$$ Correct Answer $$ x = {\left(\frac{\exp\left(4\right)}{375}\right)}^{\frac{1}{3}} $$

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 0.280 : 0.0800 Correct Answer 7:2 2. Ratio: $$\frac{2}{6} : \frac{9}{9}$$ Correct Answer 1:3 3. Ratio 12 : 18 Correct Answer 2:3

7.	Write the following as percentages 1. Number: 0.56 Correct Answer 56 % 2. Number: $$\frac{3}{5}$$ Correct Answer 60.0 % 3. Number: 1.7 Correct Answer 170 %

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

9.	Logs Solve the following for x: $$\ln\left({\left(5x\right)}^{4}\right) + \ln\left({\left(4x\right)}^{2}\right) = \ln\left(x\right) + 6$$ Correct Answer $$ x = {\left(\frac{\exp\left(6\right)}{10000}\right)}^{\frac{1}{5}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{2}{x}^{-5} $$ Correct Answer $$\frac{1}{{x}^{3}} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-3}{5}}{x}^{\frac{-5}{5}} $$ Correct Answer $$\frac{{x}^{\frac{-3}{5}}}{x} $$ 3. Please simplify the following expression: $$ {\left({x}^{3}\right)}^{-2} $$ Correct Answer $$ {x}^{-6} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{6}\right)}^{6}{y}^{4}}{{y}^{-4}} $$ Correct Answer $$ {x}^{36}{y}^{8} $$