Completing the Square (CTS) Level 1 Extra Credit

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

• the -4x
• the 9
• the x²

Tags

CCSS.HSA-REI.B.4B

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero
• Divide 10 by 2 and add the result to both sides
• Add a² and 10a together
• Subtract the 21

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

Write the following quadratic expression in completed square form. Then state the vertex.

x² + 4x + 10

• (x + 4)² + 6; (-4, 6)

• (x + 2)² + 6; (-2, 6)

• (x + 4)² - 6; (4, -6)

• (x + 2)² + 6; (2, 6)

Use CTS to write the following equation in vertex form.

x² - 10x - 4

• (x - 5)² - 29

• (x - 5)² - 21

• (x + 5)² + 14

• (x + 5)² - 29

Write in vertex form by completing the square.

x² -7x = 5

• $y=\left(x-3.5\right)^2-17.25$
  

• $y=\left(x-7\right)^2-5$
  

• $y=\left(x-12.25\right)^2-17.25$
  

• $y=\left(x+3.5\right)^2-17.25$