3.7 Solve by Completing the Square Lesson Check

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

What is the formula of calculating the new C-term when "completing the square?"

• 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-REI.B.4B

Joe is using Completing the Square to solve this Quadratic Equation. What is the next step?
 $x^2-4x-16\ =0$  
 $x^2-4x+\ \ \ \ \ \ \ \ =16$  

 $x^2-4x+\ \ \ 4\ \ \ \ \ \ =16\ +\ 4$  

•  $\left(x+2\right)^2=20$  
  

•  $\left(x-2\right)^2=20$  
  

•  $\left(x-2\right)^2=16$  
  

•  $\left(x+4\right)^2=16$  
  

Tags

CCSS.HSA-REI.B.4B

What value of c would make this a perfect sqaure trinomial?
x² +8x + c

• 4
• 16
• 64
• -16

Tags

CCSS.HSA-REI.B.4B

What value of c would make this a perfect square trinomial?
x² + 2x + c

• 2
• 4
• -2
• 1

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 by completing the square.
y² + 10y = -9

• 1 and -12
• -1 and -9
• 1 and -9
• 1 and -1

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}
• {-6 + √13, -6 - √13}
• {6 + √59, 6 - √59}
• {-6 + √59, -6 - √59}

Tags

CCSS.HSA-REI.B.4B

Morgan is solving this quadratic equations using Completing the Square. What is her next step?
 $x^2+6x=5$  

 $x^2+6x+9\ =\ 5\ +\ 9$  

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41
• X= 35 or 47
• X = −6 + √41 or  −6 − √41
• X = √35 or √47

Tags

CCSS.HSA-REI.B.4B