Solving Quadratics by Completing the Square

What did you need to add to both sides to complete the square?

  $x^2-12x+\ \ \ \ \ \ \ \ =20\ +\ \ \ \ \ \$ 

• 6

• 36

• -6

• -12

Tags

CCSS.HSA-REI.B.4B

Write the following quadratic expression in completed square form.
 $x^2+6x=5$  

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.

 $x^2+4x=12$  

• 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. 

 $x^2-10x-11=0$  

• x = −1 and 11

• x = 1 and −11

• x = −10 and 11

• x = −5 and 25

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
 $5x^2-35x+60=0$  

• x = 3 and -4

• x = -3 and 4

• x = 3 and 4

• x = -3 and -4

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
 $x^2+2x-5=0$  

• x = -1 ± √6

• x = 1 ± √6

• x = 6 ± √1

• x = -6 ± √1

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
 $x^2-10x-5=0$  

• x = -5 ± √30

• x = 5 ± √30

• x = 5 ± √5

• x = -5 ± √5

Tags

CCSS.HSA-REI.B.4B

Which line contains a mathematical error when completing the square?

• Line 1

• Line 2

• Line 3

• Line 4

• There is no error

Tags

CCSS.HSA-REI.B.4B

The work above shows the first two steps to solve by completing the square. Which description correctly describes the error that was made?

• They needed to add -1 to both sides.

• They needed to factor out the 2 so a = 1.

• They needed to take the square root of 4 first.

• They needed to add 4 to both sides.

Tags

CCSS.HSA-REI.B.4B

Which line contains a mathematical error when completing the square?

• Line 1

• Line 2

• Line 3

• Line 4

• Line 5

Tags

CCSS.HSA-REI.B.4B