3.3 Completing the Square

Create a Perfect Square Trinomial
x² + 6x + ____

• 6
• -6
• 9
• -9

Tags

CCSS.HSA-REI.B.4B

Create a Perfect Square Trinomial
x² + 18x + ____

• 81
• -18
• 9
• -9

Tags

CCSS.HSA-REI.B.4B

Complete the Square and solve the equation.
r² - 4r = 30

• 2 ± √ 34
• ± √ 34
•  34
• ± 2

Tags

CCSS.HSA-REI.B.4B

Complete the Square and solve the equation.
a² - 2a - 35 = 0

• 1 ± √ 6
• -7, 7
• -5, 7
• 35, 37

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

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

• 7
• -7
• -4
• -3

Tags

CCSS.HSA.REI.B.4

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

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

Complete the square and write in Vertex Form 
f(x) = x² + 4x + 9

• f(x) = (x+2)² + 5
• f(x) = (x - 2)² + 5
• f(x) = (x+4)² + 5
• f(x) = (x+2)² - 5

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Solve the following quadratics equation by completing the square...

x² + 6x - 3 = 0

• $-3\pm2\sqrt{3}$

• $3\pm2\sqrt{3}$

• $12\pm\sqrt{3}$

• $-12\pm\sqrt{3}$

Tags

CCSS.HSA.REI.B.4