Problems Solving with Quadratic Equations

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CCSS.HSA-REI.B.4B

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CCSS.HSA-REI.B.4B

• No Solution

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CCSS.HSA-REI.B.4B

Translate: The square of a number is one hundred fifty more than five times a number.

• x² = 5x + 150

• x² = 5x + 50

• 2x = 5x + 150

• x² = 5x + 15

Ate Marwin and Ate Daisy are both working on the school canteen. Together they can finish cleaning the canteen in 4 hours. It takes ate Marwin working alone in 6 hours longer than it takes Ate Daisy working alone. Determine the quadratic equation formed on the given problem.

• x² + 6x + 12 = 0

• x² + 2x + 24 = 0

• x² - 6x + 12 = 0

• x² – 2x – 24 = 0

The sum of the square of two consecutive positive integers is 85. Write a quadratic equation.

• x² + x - 1 = 85

• x² + x + 1 = 85

• x² + x - 42 = 0

• x² + x + 42 = 0

What are the roots of the quadratic equation 2x^2 - 18 = 0 using the square root method?

• x = ±3

• x = ±6

• x = ±9

• x = ±12

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CCSS.HSA-REI.B.4B

• a

• b

• c

• d

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CCSS.HSA-REI.B.4B

Solve the following quadratic: x^2-121=0

• 60.5

• ± 11

• ± 12

• 11i

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CCSS.HSA-REI.B.4B

How many real solution/s or root/s does the equation

n² = 0?

• 0

• 1

• 2

• 3

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CCSS.8.EE.A.2