Completing the Square with other Quadratic Review

Solve the following equation by completing the square:
n² = 18n + 40

• {11 and -11}
• {16 and 2}
• {20 and -2}
• {10 and -4}

Tags

CCSS.HSA-REI.B.4B

Solve the following equation by completing the square:
n² - 2n - 3 = 0

• {3 and-1}
• {4 and -4}
• {5 and -3}
• {8 and -7}

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 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

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 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

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• No Real Solution

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry?

• the slope of the graph
• the dividing line for a parabola
• a way to spin my pencil
• the x-axis

Quadratic equations take the shape of a _______ when graphed.

• U
• straight line
• wavey line/snaked
• circle/elliptical

Tags

CCSS.HSF-IF.C.7A

Does
y = -4x²
have a maximum or minimum value?

• maximum
• minimum

Tags

CCSS.HSF-IF.C.7A