1.	Express the following ratios in their simplest forms: 1. Ratio 24 : 40 Correct Answer 3:5 2. Ratio: $$\frac{1}{1} : \frac{2}{7}$$ Correct Answer 7:2 3. Ratio 26.4 : 33.0 Correct Answer 4:5

2.	Write the following as percentages 1. Number: 0.047 Correct Answer 4.7 % 2. Number: $$\frac{7}{2}$$ Correct Answer 350 % 3. Number: 1.2 Correct Answer 120 %

3.	Write the following as a fraction $$ 14.29 \%$$ Correct Answer $$\frac{1}{7}$$

4.	Logs Solve the following for x: $$\ln\left({\left(3x\right)}^{-3}\right) + \ln\left({\left(2x\right)}^{2}\right) = \ln\left(x\right) + -4$$ Correct Answer $$ x = {\left(\frac{27\exp\left(-4\right)}{4}\right)}^{\frac{-1}{2}} $$

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 20 : 56 Correct Answer 5:14 2. Ratio: $$\frac{4}{11} : \frac{4}{8}$$ Correct Answer 8:11 3. Ratio 8 : 20 Correct Answer 2:5

7.	Write the following as percentages 1. Number: 0.74 Correct Answer 74 % 2. Number: $$\frac{3}{2}$$ Correct Answer 150 % 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: $$-4\ln\left(-4x\right) + -6\ln\left(-2x\right) = \ln\left(x\right) + -1$$ Correct Answer $$ x = {\left(16384\exp\left(-1\right)\right)}^{\frac{-1}{11}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{5}{x}^{3} $$ Correct Answer $${x}^{8} $$ 2. Please simplify the following expression: $$ \frac{{x}^{2}}{{x}^{-6}} $$ Correct Answer $${x}^{8} $$ 3. Please simplify the following expression: $$ {\left({x}^{-3}\right)}^{-3} $$ Correct Answer $$ {x}^{9} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{6}\right)}^{-2}{y}^{2}}{{y}^{3}} $$ Correct Answer $$ \frac{1}{y{x}^{12}} $$