Completing the Square

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

• 4
• 2
• 8
• 20

Complete the square.
x² + 6x + ____

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

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

What is one of the solutions to this equation?

(x - 1)² = 49

• 7

• -8

• -4

• -6

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

Identify the factored form of the perfect square trinomial below.

x²-18x+81

• (x-18)²

• (x-9)²

• (x+81)²

• (x+9)²

When factoring  $x^2-10x+25\ =\ 49$  
what goes into the blank   $\left(x-\ldots\right)^2=49$  

• 5

• 10

• 7

• 25

What did you need to add to both sides to complete the square?

  $x^2-12x+_{ }$  ___ =  20 + ___

• 6

• 36

• 10

• 144

 $x^2+16x+4=0$  
When completing the square, what number goes in the empty space?
 $\left(x+\ldots\right)^2=60$  

•  $8$  

•  $16$  

•  $64$  

•  $60$  

 $x^2+20x-3=0$  
When completing the square, what number goes in the empty space?
 $\left(x+10\right)^2=3+\ldots$  

•  $10$  

•  $20$  

•  $100$  

•  $3$