Solving Quadratic Equations Review

What is the first thing you should consider when factoring?

• Is there a GCF?

• Is there a bx-term?

• What is the value of $\left(\frac{b}{2}\right)^2$ ?

• What are the a,b, and c values?

If there is a bx-term in the quadratic equation, which method would not work:

• Factoring

• Square root method

• Quadratic formula

• Completing the square

Which two methods requires the quadratic equation to be in standard form (one side equals 0 ) before you can begin solving?

• Factoring

• Square root method

• Quadratic formula

• Completing the square

Factor x²-6x-40

• (x-10)(x+4)
• (x+10)(x-4)
• (x-8)(x+5)
• (x+8)(x-5)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.B.3

Solve
x² + 13x + 12 = 0

• x = -12, -1
• x = 12, 1
• x = 13, 1
• x = -13, -1

Tags

CCSS.HSA.REI.B.4

Solve by completing the square.
x² + 4x= 12

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

Tags

CCSS.HSA.REI.B.4

Solve by completing the square. 
 x² − 10x - 11= 0

• x = −1 and 11
• x = 1 and −11
• x = −10 and 11
• x = −5 and 25

Tags

CCSS.HSA.REI.B.4

ax²+bx+c=0  is the standard form of a quadratic equation.

• True
• False

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

Tags

CCSS.HSA.REI.B.4

A function has a discriminant of 0.

How many solutions does it have?

• 0

• 1

• 2

• infinite