1.	Express the following ratios in their simplest forms: 1. Ratio 4 : 28 Correct Answer 1:7 2. Ratio: $$\frac{3}{8} : \frac{2}{4}$$ Correct Answer 3:4 3. Ratio 0.140 : 0.490 Correct Answer 2:7

2.	Write the following as percentages 1. Number: 0.39 Correct Answer 39 % 2. Number: $$\frac{5}{6}$$ Correct Answer 83.3 % 3. Number: 1.2 Correct Answer 120 %

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

4.	Logs Solve the following for x: $$\ln\left(-6x\right) + 5\ln\left(-4x\right) = \ln\left(x\right) + -3$$ Correct Answer $$ x = {\left(\frac{\exp\left(-3\right)}{6144}\right)}^{\frac{1}{5}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{4}{x}^{5} $$ Correct Answer $${x}^{9} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-4}{6}}{x}^{\frac{5}{6}} $$ Correct Answer $${x}^{\frac{-2}{3}}{x}^{\frac{5}{6}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-3}\right)}^{6} $$ Correct Answer $$ {x}^{-18} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{1}\right)}^{-4}{y}^{-2}}{{y}^{1}} $$ Correct Answer $$ \frac{1}{{x}^{4}{y}^{3}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 0.210 : 0.140 Correct Answer 3:2 2. Ratio: $$\frac{9}{2} : \frac{3}{11}$$ Correct Answer 33:2 3. Ratio 0.0700 : 0.350 Correct Answer 1:5

7.	Write the following as percentages 1. Number: 0.65 Correct Answer 65 % 2. Number: $$\frac{7}{3}$$ Correct Answer 233 % 3. Number: 2.0 Correct Answer 200 %

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

9.	Logs Solve the following for x: $$\ln\left({\left(3x\right)}^{-6}\right) + \ln\left({\left(4x\right)}^{4}\right) = \ln\left(x\right) + -2$$ Correct Answer $$ x = {\left(\frac{729\exp\left(-2\right)}{256}\right)}^{\frac{-1}{3}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{3}{x}^{5} $$ Correct Answer $${x}^{8} $$ 2. Please simplify the following expression: $$ \frac{{x}^{-5}}{{x}^{-5}} $$ Correct Answer $$1 $$ 3. Please simplify the following expression: $$ {\left({x}^{6}\right)}^{4} $$ Correct Answer $$ {x}^{24} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-1}\right)}^{-5}{y}^{2}}{{y}^{-4}} $$ Correct Answer $$ {x}^{5}{y}^{6} $$