Quadratics ~ Completing the Square Method

When factoring  $x^2-4x+4=20$  , what goes in the blank  $\left(x-_{\ \ }\right)^2=20$  ?

• 4

• 2

• 8

• 20

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $x^2+6x+_-$  Complete the square.

•  $x^2+6x+9$  

•  $x^2+6x-36$  

•  $x^2+6x+36$  

•  $x^2+6x-9$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $x^2+6x=5$  Complete the square.

•  $\left(x+3\right)^2=5$  

•  $\left(x+6\right)^2=9$  

•  $\left(x+3\right)^2=14$  

•  $\left(x+6\right)^2=14$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\left(2x-1\right)^2=49\ \ What\ is\ one\ of\ the\ solutions\ to\ this\ equation?$  

• 7

• -7

• -4

• -3

Tags

CCSS.HSA.REI.B.4

Solve the equation by completing the square and then finding the roots.
 $x^2+10x=-9$  

• 1 and -12

• -1 and -9

• 1 and -9

• 1 and -1

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

 $n^2-2n-3=0$  Solve the equation by completing the square and finding the roots.

• 3 and -1

• 4 and -4

• 5 and -3

• 8 and -7

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

What do you do to the 'b' value to correctly complete the square?

• square it and then add the result to both sides

• divide by it 2, square the result, then add the result to both sides

• divide it by 2, take the square root of it and then add the result to both sides

• only divide it by 2 and add the result to both sides

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $x^2-18x+81$   Given the perfect square trinomial, identify the equivalent expression.

•  $\left(x-18\right)^2$  

•  $\left(x+81\right)^2$  

•  $\left(x-9\right)^2$  

•  $\left(x+9\right)^2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $2x^2+4x-5=7$  Solve by completing the square. Round to the nearest 10th. Hint: move the 5 FIRST, and you MUST have a leading coefficient of 1!

• -0.4 and -3.4

• -2.3 and 4.3

• -3.6 and 1.6

• no solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

 $x^2-22x+\ \ \$  Create a perfect square trinomial.

• -121

• 11

• -11

• 121

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3