Complete the Square

Multiple Choice

Which of the following equations matches standard form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

Multiple Choice

What are the roots of the function?

• x = 4, -1

• (-4, 1)

• x = -4, 1

• (4, 0) (-1, 0)

Multiple Choice

What is another word for zeros?

• y-intercepts
• roots
• vertex
• axis of symmetry

Multiple Choice

Factor and Solve

6x² + 17x + 12 = 0

• x = -4/3, x = -3/2

• x = 9, x = 8

• x = 4, x = 3

• x = -4, x = -3

Multiple Choice

Solve

4x² + 4x + 1 = 0

• x = -½

• x = -2

• x = 0

Multiple Choice

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

Multiple Choice

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x
• the 9
• the x²

Multiple Choice

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

Multiple Choice

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

Multiple Choice

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

• 4
• 2
• 8
• 20

Multiple Choice

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

• 7
• -7
• -4
• -3

Multiple Choice

Complete the Square
x² + 6x = 5

• (x + 3)² = 5
• (x + 6)² = 9
• (x + 3)² = 14
• (x + 6)² = 14

Multiple Choice

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

Multiple Choice

Complete the square.
x² + 6x + ____

• x² + 6x + 9
• x² + 6x - 36
• x² + 6x + 36
• x² + 6x - 9

Multiple Choice

Complete the square.
x² + 14x + ____

• x² + 14x - 196
• x² + 14x + 49
• x² + 14x - 49
• x² + 14x + 196

Multiple Choice

Complete the Square
x² + 10x + ____

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

Multiple Choice

Complete the Square
x² + 6x + 20

• (x + 3x)² + 11
• (x + 3)² + 11
• (x + 6)² + 11
• (x + 3)² + 29

Multiple Choice

What should be added to both sides of the following equation to complete the square?
x² + 12x = 5

• 12
• 6
• 36
• 5

If you finish early...

• Complete 11.1.1 Study & 11.1.3 Quiz - Solving Quadratics​

• Complete 11.2.1 Study & 11.2.3 Quiz - Completing the Square

• Work through any past missing work.​

Some text here about the topic of discussion