Solving Rational Equations and Word Problems

Anne and Maria play tennis almost every weekend. So far, Anne has won 12 out of 20 matches. How many matches will Anne have to win in a row to to improve her winning percentage to 75%?

• 8 matches

• 4 matches

• 12 matches

• 10 matches

Working together, it takes Sam, Jenna, and Francisco 2 hours to paint one room. When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours. How long would it take Francisco to paint one room on his own?

• 3 hours

• 6 hours

• 10.5 hours

• 12 hours

Melissa walks 3 miles to the house of a friend and returns home on a bike. She averages 4 miles per hour faster when cycling than when walking, and the total time for both trips is two hours. What is her walking speed?

• 2 miles per hour

• 4 miles per hour

• 3 miles per hour

• 6 miles per hour

You have 10 liters of a juice blend that is 60% juice. How many liters of pure juice need to be added in order to make a blend that is 75% juice?

• 6 liters

• 1.5 liters

• 2 liters

• 8 liters

You have a solution containing 10% acid and a solution containing 30% acid. How much of the 30% solution must you add to 1 liter of the 10% solution?

• 12 liters

• 1.5 liters

• 1 liter

• 5 liters

Bob can paint a fence in 5 hours, and working with Jen, the two of them painted a fence in 2 hours. How long would it have taken Jen to paint the fence alone?

• 4 hours

• 3 hours

• 3 hours and 20 minutes

• 3 hours and 45 minutes

If two inlet pipes can fill a pool in 1 hour and 30 minutes, and one pipe can fill the pool in 2 hours and 30 minutes on its own, how long would the other pipe take to fill the pool on its own?

• 3 hours and 30 minutes

• 2 hours

• 3 hours

• 3 hours and 45 minutes

It takes 36 minutes less time to travel 120 miles by car at night than by day because the lack of traffic allows the average speed at night to be 10 miles per hour faster than in the daytime. What is the average speed in the daytime?

• 25 miles per hour

• 30 miles per hour

• 40 miles per hour

• 45 miles per hour

A school library spends $80 a month on magazines. The average price for magazines bought in January was 70 cents more than the average price in December. Because of the price increase, the school library was forced to subscribe to 7 fewer magazines. How many magazines did the school library subscribe to in December?

• 16 magazines

• 32 magazines

• 24 magazines

• 64 magazines

An investor bought a number of shares of stock for $1,600. After the price dropped by $10 per share, the investor sold all but 4 of her shares for $1,120. How many shares did she originally buy? CHOOSE ALL CORRECT OPTIONS

• 20 shares

• 28 shares

• 16 shares

• 32 shares