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

Solve the equation by completing the square and then finding the roots. 
x²+ 6x - 4 = 36

• x = -7, 7
• x = 4, -10
• x = -4 +- √7
• x = 10, -4

Tags

CCSS.HSA-REI.B.4B

Solve the following equation by completing the square:
n² - 2n - 3 = 0

• {3 and-1}
• {4 and -4}
• {5 and -3}
• {8 and -7}

Tags

CCSS.HSA-REI.B.4B

What is one of the solutions to this equation?
(2x - 1)² = 49

• 7
• -7
• -4
• -3

Tags

CCSS.8.EE.A.2

Solve
 3x² + 5x - 12 = 0

• x = -4/3, x = 3
• x = 4/3, x = -3
• x = -1, x = 4
• x = 1, x = -4

Tags

CCSS.HSA-REI.B.4B

Create a Perfect Square Trinomial
x² + 6x + ____

• 6
• -6
• 9
• -9

Tags

CCSS.HSA-REI.B.4B

Create a Perfect Square Trinomial
x² + 22x + ____

• 11
• - 11
• 121
• -121

Tags

CCSS.HSA-REI.B.4B

Create a Perfect Square Trinomial
x² - 4x +  ____

• 2
• -2
• 4
• 16

Tags

CCSS.HSA-REI.B.4B

Complete the Square and solve the equation.
r² - 4r = 30

• 2 ± √ 34
• ± √ 34
•  34
• ± 2

Tags

CCSS.HSA-REI.B.4B

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