Choose Your Method for Solving Quadratics

Which of the following is not the same as "solution"?

• x-intercept
• roots
• zeros
• y-intercept

Which of the following equations matches standard form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Write down: a=1, b=6, c=-13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

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

What is this?

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

Which method is most efficient to solve:
8x²  -  5x  = 0

• Square Roots
• Greatest Common Factor (GCF)
• Complete the Square
• Quadratic Formula

Which method is MOST EFFICIENT to solve:
8x²  -  6  = 0

• Square Root Method
• Greatest Common Factor (GCF)
• Complete the Square
• Quadratic Formula

Which method is MOST EFFICIENT to solve:
5x²  -3x - 7  = 0

• Square Root Method
• Greatest Common Factor (GCF)
• Complete the Square
• Quadratic Formula

Can this quadratic be solved by BOTH square root method AND difference of squares?
16x² - 25 = 0

• Yes!
• No - just square root method
• No - just difference of squares method

Can this quadratic be solved by BOTH square root method AND difference of squares?
2x² - 7 = 0

• Yes!
• No - just square root method
• No - just difference of squares method