Chapter 9 Test - Solving Quadratics

What is a method of checking your work when factoring?

• FOIL
• asking the teacher every time
• assume you're correct
• division

Tags

CCSS.HSA.APR.B.2

What is the first question you ask yourself when factoring a polynomial?

• How many terms does it have?

• Is there a greatest common factor?

• What strategy should I use?

• Why do I have to learn this?!?!?!

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.B.4B

Solve
x² + 2x - 24 = 0

• x = -6, x = 4
• x = 6, x = -4
• x = 12, x = -2
• x = 8, x = -3

Tags

CCSS.HSA-REI.B.4B

Solve

x² - 9x + 20 = 0

• x = -2, x = -10

• x = 1, x = 20

• x = -4, x = -5

• x = 4, x = 5

Solve by factoring:3x² + 5x + 2 = 0  

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

Tags

CCSS.HSA-REI.B.4B

What is the discriminant?

• b²-4ac
• b²/2a
• 4ac
• b²±4ac

Tags

CCSS.HSA-REI.B.4B

If the discriminant is negative, then the quadratic has:

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

Tags

CCSS.HSA-REI.B.4B

What form should your equation be in before identifying a, b and c?

• Standard form: $ax^2+bx+c=0$

• Vertex form: $a\left(x-h\right)^2+k\ =\ 0$

• Factored form: $\left(x+a\right)\left(x+b\right)\ +c=\ 0$

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