Solving Quadratic Equations and Inequalities

The function h(t) = -16t²+60t + 130 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

• 4.2 seconds

• 5.3 seconds

• 5.8 seconds

• 6.1 seconds

• undefined 

Tags

CCSS.HSA-REI.B.4B

For the function above, is the discriminant positive, negative, or zero? How many solution(s) does it have?

• Positive

  Two Real Solutions

• Negative

  Two Imaginary Solutions

• Zero

  One Real Solution

Rewrite the following in vertex form by completing the square.
x² + 6x = 5

• y = (x + 3)² - 5

• y = (x + 6)² - 9

• y = (x + 3)² - 14

• y = (x + 6)² - 14

Solve the equation by completing the square and then finding the roots. 
2x²+ 12x - 8 = 72

• x = -7, 7

• x = 4, -10

• x = -4 +- √7

• x = 10, -4

Tags

CCSS.HSA-REI.B.4B

The solutions of the quadratic equation
x²-5x+6=0 are

• x=1 or x=-6

• x=3 or x=2

• x=-3 or x= 2

• x=-1 or x=6

Tags

CCSS.HSA-REI.B.4B

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4

• -4 & 10

• -8 & 4

• 8 & -4

Tags

CCSS.HSA-REI.B.4B

Which of the following is the interval notation of x² - x - 12 < 0?

• [ 4, 3]

• (-4, -3]

• (-3, 4)

• [-3, 4]

Which one refers to a polynomial equation in the form ax² + bx + c = 0 where a, b, c are real numbers and a ≠ 0?

• Quadratic Equation

• Quadratic Polynomial

• Quadratic Inequalities

• Linear Equation