Challenging Quadratic Formula Questions

What is this?

• This is the speed of light formula.
• This is the quadratic formula.
• This is the zero product property.
• This is scary.

Determine the values of
a, b, and c for
the quadratic equation: 
4x² – 8x = 3

• a = 4, b = -8, c = 3
• a = 4, b =-8, c =-3
• a = 4, b = 8, c = 3
• a = 4, b = 8, c = -3

Identify the 'a' value: y = 16x² -8x -24

• 16
• 8
• -8
• -24

Identify the 'b' value: y = 16x² -8x -24

• 16
• -8
• 8
• -24

Identify the 'c' value: y = 16x² -8x -24

• 16
• -8
• 24
• -24

Solve     8x² - 6x + 1 = 0

• No Solution
• 0 or 1
• -0.5 or -0.25
• 0.25 or 0.5

What do you do to the b value to correctly complete the square?

• square it
• divide it by 2 and square the result
• divide it by 2 and take the square root of the result
• divide it by 2 only

Solve    2x² + 7x - 15 = 0

• -1.5 or 5
• No Solution
• -5 or 1.5
• 0.7 or 5

Factor the following perfect square trinomial using the rule(b/2)² :

x² + 18x + 81                       

• (x + 9)(x – 9)
• (x + 18)²
• (x + 9)²
• (x + 6)²

Use the quadratic formula to find the solutions for

y = 2x² - 9x + 5

• -8.14 and 6.14

• -4.07 and 3.07

• 3.9 and 0.6

• ZERO solutions