1.	Express the following ratios in their simplest forms: 1. Ratio 0.140 : 0.350 Correct Answer 2:5 2. Ratio: $$\frac{5}{5} : \frac{7}{3}$$ Correct Answer 3:7 3. Ratio 11.0 : 16.5 Correct Answer 2:3

2.	Write the following as percentages 1. Number: 0.71 Correct Answer 71 % 2. Number: $$\frac{7}{2}$$ Correct Answer 350 % 3. Number: 1.1 Correct Answer 110 %

3.	Write the following as a fraction $$ 28.57 \%$$ Correct Answer $$\frac{2}{7}$$

4.	Logs Solve the following for x: $$-4\ln\left(-2x\right) + \ln\left({\left(3x\right)}^{6}\right) = \ln\left(x\right) + -4$$ Correct Answer $$ x = \frac{16\exp\left(-4\right)}{729} $$

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 35.2 : 44.0 Correct Answer 4:5 2. Ratio: $$\frac{3}{1} : \frac{7}{3}$$ Correct Answer 9:7 3. Ratio 6 : 12 Correct Answer 3:6

7.	Write the following as percentages 1. Number: 0.89 Correct Answer 89 % 2. Number: $$\frac{5}{2}$$ Correct Answer 250 % 3. Number: 2.1 Correct Answer 210 %

8.	Write the following as a fraction $$ 85.71 \%$$ Correct Answer $$\frac{6}{7}$$

9.	Logs Solve the following for x: $$4\ln\left(-3x\right) + 4\ln\left(3x\right) = \ln\left(x\right) + 5$$ Correct Answer $$ x = {\left(\frac{\exp\left(5\right)}{{3}^{8}}\right)}^{\frac{1}{7}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{4}{x}^{1} $$ Correct Answer $${x}^{5} $$ 2. Please simplify the following expression: $$ {x}^{\frac{3}{2}}{x}^{\frac{-4}{2}} $$ Correct Answer $$\frac{{x}^{\frac{3}{2}}}{{x}^{2}} $$ 3. Please simplify the following expression: $$ {\left({x}^{5}\right)}^{3} $$ Correct Answer $$ {x}^{15} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-4}\right)}^{2}{y}^{-6}}{{y}^{-6}} $$ Correct Answer $$ \frac{1}{{x}^{8}} $$