Personalized Competency Based Test in Quadratic Equations

What is the equation for this parabola in factored form?

• y=(x+2)(x-1)

• y=(x-2)(x+1)

• y=(x-2)(x-1)

• y=(x+2)(x+1)

Tags

CCSS.HSF-IF.C.7A

Find the roots of this equation
x² + x - 6 = 0

• 4, -1

• 3, -2

• -6, 1

• 2, -3

Tags

CCSS.HSA-REI.B.4B

The graph of a quadratic function is called

• a line

• a hyperbola

• a parabola

• a cubic

Tags

CCSS.HSF-IF.C.7A

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation: h = -16t² + 80 About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

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

• -1 and 3
• 1 and -3
• -1 and -3
• 1 and 3

What are the solutions for this quadratic equation?

• -4 and 0

• 4 and 0

• -2 and 4

• -2 and -4

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. When does the rocket hit the ground?

• 7 seconds

• 6 seconds

• 3 seconds

• 8 seconds

What are the solutions to the quadratic equation?

• x = -4

• x = 1

• x = -1

• x = 2

• x = 4