Completing the Square Practice

Find the value that completes the square
 $x^2+8x+c$  

• 8

• 4

• 64

• 16

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the value that completes the square
 $x^2-16x+c$  

• -64

• -8

• 64

• 16

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the value that completes the square and then rewrite as a perfect square.
 $x^2+14x+c$  

•  $49;\ \ \left(x+7\right)^2$  

•  $7;\ \ \left(x+7\right)^2$  

•  $196;\ \ \left(x+14\right)^2$  

•  $14;\ \ \left(x+14\right)^2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the value that completes the square and then rewrite as a perfect square.
 $x^2-10x+c$  

•  $-25;\ \ \left(x-5\right)^2$  

•  $25;\ \ \left(x-5\right)^2$  

•  $-5;\ \ \left(x+5\right)^2$  

•  $25;\ \ \left(x+5\right)^2$  

What is the first step in solving by completing the square?
 $b^2-10b+21=0$  

• Subtract 21 from each side of the equation.

• Add 21 to each side of the equation.

• Divide -10 by 2, square it, and then add 25 to each side.

• Divide -10 by 2, square it, and then subtract 25 from each side.

Solve the equation by completing the square.
 $x^2+14x-15=0$  

•  $x=-1,\ x\ =\ 15$  

•  $x=5,\ x=-3$  

•  $x=1,\ x=-15$  

•  $x=-5,\ x=3$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Solve the equation by completing the square.
 $m^2-12m+17=0$  

•  $m=-6\pm\sqrt{19}$  

•  $m=6\pm\sqrt{53}$  

•  $m=-6\pm\sqrt{53}$  

•  $m=6\pm\sqrt{19}$  

Solve the equation by completing the square.
 $x^2-16x-57=0$  

•  $x=-19,\ x=3$  

•  $x=8\pm\sqrt{7}$  

•  $x=19,\ x=-3$  

•  $x=-8\pm\sqrt{7}$