Problems Involving Quadratic Equations

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

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1

What are the solutions to the quadratic equation?

• x = -4

• x = 1

• x = -1

• x = 2

• x = 4

The quadratic function y = -2x² + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x² + 4x + 6?

• x = 0.5

• x = 1.5

• x = 1

• x = 8

• x = 6

What are the solutions for this quadratic equation?

• -4 and 0

• 4 and 0

• -2 and 4

• -2 and -4

Translate " four less than the square of a number is negative eight" into mathematical equation.

• x² - 4 = -8

• x² + 4 = -8

• 2x - 4 = -8

• 2x + 4 = -8

Tags

CCSS.8.EE.A.2

Transform the equation x(x + 1) = 42 into standard form of quadratic equation.

• x² + x - 42 = 0

• x² + x + 42 = 0

• x² + 1 - 42x =0

• 2x + x² - 42 = 0

What is the factored form of the equation x² + x - 42 = 0?

• ( x + 6 ) ( x - 7) = 0

• ( x + 6) ( x +7) =0

• ( x - 6) ( x - 7) =0

• ( x + 7) ( x - 6) = 0

Tags

CCSS.HSA-REI.B.4B