Determine Perfect Squares
Is the expression a perfect square?
(x - 2)2
What is yes?
Solve the equation by completing the square
x2 + 22x = 0
What is x= 0 and x = -22?
Solve the equation using the quadratic formula
4x2 + 9x + 2 = 0
What is x = -2 and x = -1/4?
Determine the maximum or minimum point of f(x) = -2 (x+3)2 + 5
What is the maximum point (-3,5)?
Is the expression a perfect square
x2 + 4x + 4
What is yes?
x2 + 4x + 4 = (x+2)2
Solve the equation by completing the square
x2 - 10x = 0
What is x = 0 and x = 10?
Solve the equation using the quadratic formula
x2 + 3x = 10
What is x = 2 and x = -5?
Determine the maximum or minimum point of f(x) = (x-9)2 + 8
What is the minimum point (9,8)?
Is the expression a perfect square
x2 - 8x + 16
What is yes?
x2 - 8x + 16 = (x - 4)2
Solve the equation by completing the square
x2 + 12x = 13
What is x=1 and x= -13?
Solve the equation using the quadratic formula
2x2 - 5x - 1 = 0
what is x =( 5 +- sqrt (33) )/ 4?
Rewrite the expression from standard to vertex form
2x2 - 20x +32
What is 2 (x-5)2 - 18?
Is the expression a perfect square?
16x2 - 4
What is no?
16x2 - 4 = (4x - 2)(4x + 2)
Solve the equation by completing the square.
25x2 - 30x + 8 = 0
What is x = 2/5 and x = 4/5?
Solve the equation using the quadratic formula
64x2 - 320x - 300 = -700
What is x = 20/8 or 2.5?
Rewrite the expression from standard to vertex form
-5t2 + 30t + 9
What is - 5 (t -3)2 +54?