Solving Quadratic Equations by Completing the Square

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

• True
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• False, they are all different

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

What is the first step to solving THIS equation by completing the square?

2a² + 10a = -12

• Set the equation equal to zero

• Divide 10 by 2, square it, and add the result to both sides

• Add a² and 10a together

• Divide both sides by 2

Tags

CCSS.HSA-REI.B.4B

Given this graph is the function of

 $y=x^2-2x-8$  , what is the solution to  $x^2-2x—8=0$  ?

• (1, 9)
  

• x = {-2, 4}
  

• (0, 8)
  

• x = {5, 2}
  

When factoring

x² - 4x = 16,

what goes in the blank?

(x __ )² = 16

• -4

• -2

• +4

• +2

Tags

CCSS.HSA-REI.B.4B

What is the correct factored form of this equation?

x² + 2x = 8

• (x-1)² = 9

• (x+1)² = 9

• (x+4)² = 9

• (x-4)² = 9

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
x² + 4x= 12

• x = 2 and -2
• x = -6 and 2
• x = 6 and -2
• x = 1 and -1

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square. 
 x² − 10x - 11= 0

• x = −1 and 11
• x = 1 and −11
• x = −10 and 11
• x = −5 and 25

Tags

CCSS.HSA-REI.B.4B

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

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

Solve the equation: 
5x² - 35x + 60 = 0

• x = 3,  -4
• x = -3,  4
• x = 3,  4
• x = -3,  -4

Tags

CCSS.HSA-REI.B.4B