Completing the Square and Quadratic Inequality Practice

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

To solve by completing the square, what needs to be moved in this equation?

x² = 9 - 4x + y

• the -4x

• the 9

• the x²

Complete the square for

x² + 12x + ____

(find the missing number in the blank)

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

Tags

CCSS.HSA-REI.B.4B

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

x² + 6x + ____

• 9

• 12

• 36

• - 9

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

Complete the Square

x² + 6x = y + 5

• (x + 3)² = y + 5

• (x + 6)² = y + 9

• (x + 3)² = y + 14

• (x + 6)² = y + 14

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

• 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

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

• 5

• 10

• 7

• 25

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

  $x^2-12x+_{ }$  ___ =  y + 20 + ___

• 6

• 36

• 10

• 144

In Vertex form, f(x) = a(x - h)²+ k, what does the h stand for?

• the y-coordinate of the vertex
• the x-coordinate of the vertex
• the x-intercept
• the y-intercept

Tags

CCSS.HSF.IF.C.7