Completing the Square

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4
• 2
• 8
• 20

Tags

CCSS.HSA-REI.B.4B

Complete the square.
x² + 6x + ____

• x² + 6x + 9
• x² + 6x - 36
• x² + 6x + 36
• x² + 6x - 9

Tags

CCSS.HSA-REI.B.4B

Complete the Square
x² + 6x = 5

• (x + 3)² = 5
• (x + 6)² = 9
• (x + 3)² = 14
• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square...

x² + 4x - 1 = 0

• x = -2 ± √5

• x = -5 ± √2

• x = 2 ± √5

• x = -5 ± √5

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square...

x² + 6x - 3 = 0

• x = -3 ± √12

• x = 3 ± √12

• x = 12 ± √3

• x = -12 ± √3

Tags

CCSS.HSA-REI.B.4B

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

What do you do to the b value to correctly complete the square?

• square it
• divide it by 2 and square the result
• divide it by 2 and take the square root of the result
• divide it by 2 only

Tags

CCSS.HSA-REI.B.4B

Find the missing value "c" to create a perfect square trinomial:
x² – 8x  + ___ 

• -4
• 16
• 4
• 8

Tags

CCSS.HSA-REI.B.4B

Given the perfect square trinomial, identify the equivalent expression

x²-18x+81

• (x-18)²

• (x-9)²

• (x+81)²

• (x+9)²

Tags

CCSS.HSA.APR.C.4