1/28 Rational Word Problems

What is the LCD for  $\frac{2}{x}+\frac{5}{x+3}=\ \frac{1}{x}$  ?

•  $x^2$  

•  $x\left(x+3\right)$  

•  $x+3$  

•  $2x\left(x+3\right)$  

Tags

CCSS.HSA.REI.A.2

Solve for x:  $\frac{5}{3}-\frac{2}{x}=\frac{8}{x}$  

•  $2$  

•  $\frac{18}{5}$  

•  $\frac{26}{5}$  

•  $6$  

Tags

CCSS.HSA.REI.A.2

 $\frac{1}{2v^2}=\frac{1}{3v}+\frac{1}{6v^2}$  

• 1

• 5

• -2

• -1

Tags

CCSS.HSA.REI.A.2

Josh can mow the lawn in 40 minutes and Ethan can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?

• 48 minutes

• 50 minutes

• 24 minutes

• 12 minutes

Which of the following equations makes the most sense for the following situation: Haleigh works twice as fast as Eva. If Haleigh works for 2 hours and is then joined by Eva...and they work an additional 3 hours...how fast could they each do the job alone?

• $\frac{5}{x}+\frac{3}{2x}=1$

• $\frac{5}{2x}+\frac{3}{x}=1$

• $\frac{x}{3}+\frac{2x}{5}=1$

• $\frac{5}{x}+\frac{3}{x-2}=1$

One computer can process payroll in 4 hours and a different computer can process it in 6 hours. If they start working at 10:00 a.m., when will they be done?

• 11:30 a.m.

• 1:00 p.m.

• 12:24 p.m.

• 12:48 p.m.

Tags

CCSS.HSA.CED.A.1

A jet plane flies to and from Austin to Chicago which is roughly 1000 miles. Pushed by the wind the crew flew there in 100 mins. On the way back, they flew it against wind in 125 mins. What was just the speed of the plane?

Samarie and Steve are taking a romantic 5 mile boat ride. With the current aiding them, it takes them 55 mins. Against current, it takes them 86 mins. What was the speed of the water's current? Answer in Mph

• 4.47 mph

• 4.20 mph

• 3.69 mph

• 3.44 mph

• 3.14 mph

Mr. Bugusky has 474 wins and 7 losses. How many consecutive games would you have to win to get a 98.6 win%.

Ben Wallace has the NBA's worst free throw %. He made 1109 out of 2679 free throw attempts. How many consecutive shot now would he have to make to get to 50%?