Rational Equation Applications

A plane flies 1225 miles with a tailwind in the same time it can go 1100 miles against the wind. The speed of the plane in still air is 575 miles per hour. Which equation would you use to find the speed of the wind?

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CCSS.HSA.CED.A.1

Solve and check for extraneous solutions

• x=5

• x= -5

• No Solution

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CCSS.HSA.REI.A.2

Katherine can paint a room in 4 hours. Joe needs 6 hours to paint the same room. Which equation would you use to determine how long it takes them to paint the room if they work together?

Tags

CCSS.HSA.CED.A.1

George can build a laptop twice as fast as Kurt. Working together, it takes them 3 hours. Which equation would you use to determine how long it will take Kurt working alone?

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CCSS.HSA.CED.A.1

14.2 = -11.6 + 2t

• 1.3

• 12.9

• -1.3

• -12.9

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CCSS.7.EE.B.4A

-1.3r + 5.2 = 1 - 2.7r

• r = -1.05

• r = 2

• r = 5

• r = -1

Solve for r

Mathematical Equivalence

ON

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CCSS.HSA.REI.A.2

Solve for v

• - 7/6

• - 9/5

• 9/5

• -3

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CCSS.HSA.REI.A.2

A boat goes 10 miles downstream in the same time it can go 3 miles upstream. The speed of the current is 2 miles per hour. Which equation could you use to find the speed of the boat in still water?

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CCSS.HSA.CED.A.1

You have 2 machines that create boxes. Working alone, machine 1 can produce 1500 boxes in x hours. But when they work together, they can cover 1500 boxes in y hours. In terms of x and y, how many hours does it take the 2nd machine by itself to produce 1500 boxes?

• x/(x+y)

• y/(x+y)

• xy/(x+y)

• xy/(x-y)

Tags

CCSS.HSA.CED.A.1