Using The Quadratic Formula

​Complete the quadratic formula in the diagram shown given that a quadratic equation is in

standard form

ax² + bx + c = 0,

a

b

c

Tags

CCSS.HSA-REI.B.4B

What is another word for roots of an equations?

(Select all choices that apply.)

• y-intercepts
• zeros

• vertex
• x-intercepts

• solutions

Tags

CCSS.HSF-IF.C.7A

The ____________ is used to determine the number of solutions to a quadratic equation.

Tags

CCSS.HSA-REI.B.4B

True or False?

Solutions can be irrational.

• True

• False

• Not enough information

• Only in alternate universes

Tags

CCSS.8.NS.A.1

Reorder the following steps to solve a quadratic equation by using the quadratic formula.

• Make sure the equation is

  set equal to 0 and written

  in standard form.

  ax² + bx + c = 0

• Write the answer using curly braces in set notation

• Substitute these values

  into the formula

• Identify a, b, and c.

• Simplify using the order of operations

  (PEMDAS)

Tags

CCSS.HSA-REI.B.4B

Match the following methods to solve quadratic equations with the scenario it is best used in

• can be used in all cases

• GRAPHING

• when b is an even number if a=1

• FACTORING

• to check solutions

• COMPLETING THE SQUARE

• when the equation is factorable

• SQUARE ROOTS

• when there is no "bx" term

• QUADRATIC FORMULA

Tags

CCSS.HSA-REI.B.4B

What are the zeros?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Find the x-intercepts:

8x² - 6x + 1 = 0

• No Solution
• x = 0 or x = 1

• x = -0.5 or x = -0.25

• x = 0.25 or x = 0.5

Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to identify the zeros for
y = 2x² - 9x + 5

• x ≈ -8.14 and x ≈ -6.14

• x ≈ 4.07 and x ≈ 3.07

• x ≈ 3.85 and x ≈ 0.65

• No Real Solutions

Tags

CCSS.HSA-REI.B.4B

The quadratic formula can be used to solve any quadratic equations, even ones that cannot be factored.

• True
• False
• Not enough information

• Maybe

Tags

CCSS.HSA-REI.B.4B