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Solving Work Problems and Distance Problems Rational Equation

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Solving Work Problems and Distance Problems Rational Equation
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18 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Peter can mow the lawn in 40 minutes and John 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

Tags

CCSS.HSA.CED.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

WRITE AN EQUATION
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?

(x-10)/4=2

x-10/4=2

x-10=2(4)

2(x-10)=4

Tags

CCSS.HSA.CED.A.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

150x + 24 = 180 + 20x

150 + 24x = 180 + 20x

180 - 150 = 24 x + 20x

150 - 24x = 180 - 20x

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Tank 1 currently has 40 gallons of water and is filling at a rate of 1.5 gallons per minute. Tank 2 has 220 gallons of water and is draining at a rate of 3 gallons per minute. After how many minutes will the two tanks have the same amount of water? Write the equation.

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