1 First try to solve the equation by factoring. If you are unable to solve the equation by factoring, solve the equation by using the quadratic formula. If the equation has solutions that are irrational numbers, give exact solutions and approximate solutions to the nearest thousandth. (Enter your answers as a comma-separated list. If the solution is not a real number, enter NOT REAL.)

y3=y²y5

2 First try to solve the equation by factoring. If you are unable to solve the equation by factoring, solve the equation by using the quadratic formula. (Enter your answers as a comma-separated list. If the solution is not a real number, enter NOT REAL.)

3y²=2y+1

3 In 2006,65.9million people subscribed to cable television. In 2013, that number had decreased to54.9million.Find the percent decrease in the number of cable TV subscribers from 2006 to 2013. Round to the nearest tenth of a percent.

4 In a recent year, wind machines in a country generated181.3billion kWh of electricity, enough to serve over17millionhouseholds. The nation's total electricity production that year was4,094billion kWh.What percent of the total energy production was generated by wind machines? Round to the nearest tenth of a percent.

5 A credit card company offers an annual 2% cash-back rebate on all gasoline purchases. If a family spent$7200on gasoline purchases over the course of a year, what was the family's rebate at the end of the year?

6 Leonardo da Vinci measured various distances on the human body in order to make accurate drawings. He determined that generally the ratio of the kneeling height of a person to the standing height of that person was3/4. Using this ratio, determine the standing height of a person who has a kneeling height of63in.

7 Write the expression as a unit rate. 100miles on4gallons of gasoline

8 The music you hear when listening to a magnetic cassette tape is the result of the magnetic tape passing over magnetic heads, which read the magnetic information on the tape. The length of time a tape will play depends on the length of the tape and the operating speed of the tape player. The formula isT=L/S,whereTis the time in seconds,Lis the length of the tape in inches, andSis the operating speed in inches per second. How long a tape does a police officer need to record a2-minute confession at an operating speed of51/2inches per second?