1. Equations & Inequalities

After a 30% price reduction, you purchase a 50″ 4K UHD TV for $245. What was the television's price before the reduction?

In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?A = 2lw + 2lh + 2wh for h

In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?S = C/(1 - r) for r

In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?S = P + Prt for r

In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?E = mc^2 for m

In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?V = (1/3)Bh for B

In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?A = (1/2)bh for b

In Exercises 35–54, solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe?D = RT for R

A job pays an annual salary of $57,900, which includes a holiday bonus of $1500. If paychecks are issued twice a month, what is the gross amount for each paycheck?

For an international telephone call, a telephone company charges $0.43 for the first minute, $0.32 for each additional minute, and a $2.10 service charge. If the cost of a call is $5.73, how long did the person talk?

A repair bill on a sailboat came to $2356, including $826 for parts and the remainder for labor. If the cost of labor is $90 per hour, how many hours of labor did it take to repair the sailboat?

An automobile repair shop charged a customer $1182, listing $357 for parts and the remainder for labor. If the cost of labor is $75 per hour, how many hours of labor did it take to repair the car?

The length of a rectangular pool is 6 meters less than twice the width. If the pool's perimeter is 126 meters, what are its dimensions?

The length of the rectangular tennis court at Wimbledon is 6 feet longer than twice the width. If the court's perimeter is 228 feet, what are the court's dimensions?

A rectangular soccer field is twice as long as it is wide. If the perimeter of the soccer field is 300 yards, what are its dimensions?