Completing the Square

Find the missing value "c" to complete the square.

x² + 6x + ____

• 9

• 12

• 36

• - 9

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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.SSE.A.2

CCSS.HSA.SSE.B.3

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

• 4
• 2
• 8
• 20

Tags

CCSS.HSA-REI.B.4B

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x
• the 9
• the x²

Tags

CCSS.HSA-REI.B.4B

What is the formula of calculate the new C-term

• C = $\frac{b}{2}$

• C = $\frac{-b}{2a}$

• C = $\left(\frac{b}{2}\right)^2$

• C = $\left(\frac{b}{4}\right)^2$

Tags

CCSS.HSA.CED.A.4

CCSS.HSA.REI.B.4

What is the first step to solve this quadratic equation by completing the square?  $x^2-10x+21\ =\ 0$  

• Set the equation equal to zero

• Add  $x^2$  and  $10x$  together

• Divide 10 by 2 and add the result to both side

• Subtract the 21 from  both sides

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

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

  $x^2-12x+_{ }$  ___ =  20 + ___

• 6

• 36

• 10

• 144

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3