Completing the Square

Select all the perfect square trinomials.

• (x+3)(3+x)

• (2x + 3)(2x + 3)

• (x + 3)(x - 3)

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 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

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

• 4
• 2
• 8
• 20

Tags

CCSS.HSA-REI.B.4B

• (x + 4)(x + 4)

• (3x + 4)(3x - 4)

• 3

• 9

• 6

• 4

When do you use the plus or minus symbol?
±

• After taking the square root of both sides
• After adding the square to both sides
• After taking half of b
• After setting the equation equal to zero

Tags

CCSS.HSA-REI.B.4B

What is one of the solutions to this equation?
(2x - 1)² = 49

• 7
• -7
• -4
• -3

Tags

CCSS.8.EE.A.2

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

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