Factoring and Solving Quadratic Equations Review

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.A.2

CCSS.HSA.SSE.B.3

Solve x² + 13x + 12 = 0 by factoring.

• x = -12, -1

• x = 12, 1

• x = 13, 1

• x = -13, -1

Solve the equation: (x-7)(x+3)=0

• x =-7 and x = 3

• x = 7 and x = 3

• x = -7 and x = -3

• x = 7 and x = -3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve the equation by the factoring method: 6x² - 9x = 0

• x = 0 & x = 3

• x = 0 & x = -3/2

• x = 0 & x = 3/2

Tags

CCSS.HSA.REI.B.4

Solve the equation by completing the square: x² - 8x = 20

• x = 10 and x = -2

• x = -10 and x = -2

• x = 10 and x = 2

Solve the equation with a method of your choice:

x² - 2x - 24 = 0

• x = 6 and x = 4

• x = -6 and and x = 4

• x = 6 and x = -4

Tags

CCSS.HSA.REI.B.4

The solutions of the quadratic equation
x²-5x+6=0 are

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

Tags

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

What are the 2 characteristics we look for when trying to solve a quadratic equation?

• A positive coefficient for $x^2$ & the equation set equal to 0.

• Factor and cancel

• Distribute and combine like terms

• There is no such thing as a quadratic equation

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Standard form of a quadratic equation

• ax²+bx=c

• ax²+bx+c=0

• y=mx+b

• y=x