Summative 4.7: Solving Equations using the Quadratic Formula

What is the Quadratic Formula?

• y = mx + b

• $y\ =\ ax^2\ +\ bx\ +\ c$
  

• $y=a\left(x-h\right)^2+k$
  

• $x\ =\ \frac{-b\pm\sqrt{b^2-4ac}}{2a}$
  

The Quadratic Formula can be used to solve quadratic equations that cannot be factored.

• True

• False

In the Quadratic Formula, the expression b²-4ac

is called the:

• Roots

• Determinant

• Discriminant

• Parabola

If the Discriminant is Negative, then the Quadratic has:

• 1 Real Solution

• 2 Real Solutions

• No Real Solutions

If the Discriminant is Positive, then the Quadratic has:

• 1 Real Solution

• 2 Real Solutions

• No Real Solutions

If the Discriminant is Zero, then the Quadratic has:

• 1 Real Solution

• 2 Real Solutions

• No Real Solutions

What is the Discriminant AND how many solutions would this quadratic have?

x² - 6x + 9 = 0

• 0, No Solutions

• 0, 1 Real Solution

• 72, 2 Real Solutions

What is the Discriminant AND how many solutions would this quadratic have?

-8x² + 6x - 4 = 0

• -92, No Solutions

• 164, 2 Solutions

• -164, No Solutions

• 92, 2 Solutions

What is the Discriminant AND how many solutions would this quadratic have?

4x² + 6x - 4 = 0

• -28, No Solutions

• 28, 2 Solutions

• 100, 2 Solutions

• -100, No Solutions

Determine the values of a, b, and c for the Quadratic Equation:

-3x² + 6x + 10 = 0

• a = 3, b = -6, c = 10

• a = -3, b = 6, c = 10

• a = 10, b = 6, c = -3

• a = -3, b = 10, c = 6