Quadratic Formula + Review

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.

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

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

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• No Real Solution

Tags

CCSS.HSF-IF.C.7A

Solve using the quadratic formula.
2x² - 9x - 35 = 0

• x = 7/2, x = -6
• x = -5/2, x =5
• x = -3/7, x =6
• x = -5/2, x = 7

Tags

CCSS.HSA-REI.B.4B

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

• x = 1 and x = 3
• x = 6 and x = -2
• x = -1 and x = -3

Tags

CCSS.HSA.REI.B.4

Does the equation open or or down? 
Y = -3x² +7x - 2

• up
• down

What is the discriminant and how many solutions would this quadratic have?

x² - 6x + 9 = 0

• 0, No Solutions

• 0, 1 Solution

• 72, 2 Solutions

• -72, No Solution

Tags

CCSS.HSA.REI.B.4

Solve using the Quadratic Formula:

 $2x^2+7x-15=0$  

•  $x=-1.5,\ 5$  

• No Solution

•  $x=-5,\ 1.5$  

•  $x=0.7,\ 5$  

Tags

CCSS.HSA.REI.B.4

Solve using the Quadratic Formula:
(Hint: Set the equation = to 0)

 $x^2+4x-40=-8$  

•  $x=-10,\ -4$  

•  $x=-4,\ 10$  

•  $x=-8,\ 4$  

•  $x=-4,\ 8$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Which graph has a discriminant = 0?

• None of them
• Red
• Blue
• Green

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11