Completing the Square When a is not equals 1

Complete the Square
x² + 10x + ____

• x² + 10x - 100
• x² + 10x + 100
• x² + 10x - 25
• x² + 10x + 25

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 the equation by completing the square and then finding the roots. 
x²+ 6x - 4 = 36

• x = -7, 7
• x = 4, -10
• x = -4 +- √7
• x = 10, -4

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

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

Using Vertex Form, f(x) = a(x - h)²+ k, how do you write the equation for the Axis of Symmetry?

• x = h
• y = k
• x = a
• y = h

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

What is the vertex of the parabola: y=2(x-3)²+4

• (3,4)
• (-3,4)
• (3, -4)
• (-3,-4)

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.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

Which of the following forms are best to use if we want to identify the vertex of a quadratic equation?

• Standard Form
• Vertex Form
• Intercept Form

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

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.B.3

CCSS.HSA.SSE.A.2