Solving Rational Equations and Word Problems

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

Tags

CCSS.HSA.CED.A.1

One pipe can fill a pool 1.5 times faster than a second pipe. If both pipes are open, the pool can be filled in 6 hours. If only the slower pipe is open, how long would it take to fill the pool? do this problem on your scrap paper for credit!!!

Tags

CCSS.HSA.CED.A.1

One crew can sow a field of corn in 6 days. A different crew can do the same job in 3 days. If the slow crew works alone for 2 days and then is joined by the faster crew, how long will it take them to finish?

• not enough information to tell

Tags

CCSS.HSA.CED.A.1

Sarah drove her car 800 km to see her friend. The return trip was 2 hrs. faster at a speed that was 10 kph more. Which equation will solve her return speed if x represents her speed on her first trip?

Tags

CCSS.HSA.CED.A.1

Joan can clean the store in five hours. If Dan helps, it takes them four hours. Without help, how long would it take Dan to complete this job ?

• 10

• 25

• 20

• 15

Tags

CCSS.HSA.CED.A.1

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

• 1500 + 8t = 12

• 12 + 8t = 1500

• 1500 + 8t = 12t

• 8t = 12t + 1500

Jason says that 10 less than one third of his age is 11 years old.  How old is Jason?

• 3 years old

• 7 years old

• 57 years old

• 63 years old

Tags

CCSS.7.EE.B.4A

Maria has 25 dollars.  She has to buy a gallon of milk which costs $3.50.  She wants to spend the rest of her money on cereal.  If each box of cereal costs $4.50, how many can she purchase?

• 4 boxes

• 5 boxes

• 6 boxes

• 7 boxes

Tags

CCSS.7.EE.B.4A

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35 

• .50x - 20 = 35

Tags

CCSS.HSA.CED.A.3

A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  How many miles does Mr. Lewis live from the airport?

• 18 miles

• 20 miles

• 22 miles

Tags

CCSS.7.EE.B.4A