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.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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.SSE.A.2

CCSS.HSA.SSE.B.3

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.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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.4

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.A.1

CCSS.HSA.REI.B.4

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.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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.A.1

CCSS.HSA.REI.B.4

Which line contains a mathematical error when completing the square?

• Line 1

• Line 2

• Line 3

• Line 4

• Line 5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3