Complete the Square, Quadratic Formula

Complete the square for

x² - 14x + ____

(find the missing value that goes in the blank)

• 7

• 49

• - 49

• -7

Tags

CCSS.HSA-REI.B.4B

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t² + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

• 0.5 seconds

• 1 second

• 1.5 seconds

• 2 seconds

• 3 seconds

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. What is the highest height the fireworks reach?

• 2.625

• 6.25

• 100

• 200

• 210.25

Solve by completing the square:

x² − 12x + 23 = 0

Tags

CCSS.HSA-REI.B.4B

Solve: x² - 2x = 3

(just give the POSITIVE answer)

Mathematical Equivalence

OFF

Tags

CCSS.8.EE.A.2

Solve: x² + 14x = 51

(just give the NEGATIVE answer)

Mathematical Equivalence

OFF

Tags

CCSS.HSA-REI.B.4B

Mathematical Equivalence

ON

Tags

CCSS.HSA-REI.B.4B

Kevin wants to solve the equation by completing the square. What values complete the equation?

• 8

• 64

• 16

• 4

• 256

Tags

CCSS.HSA-REI.B.4B

Solve for the POSITIVE SOLUTION ONLY of x by completing the square. ROUND to the nearest hundredth (2 decimal places).

Mathematical Equivalence

ON

Tags

CCSS.HSA-REI.B.4B

Which would be a correct step in solving this equation by Completing the Square?

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B