Graphing
Square Roots
Factoring
How many solutions?
Quadratic Formula
100
Sketch the graph of: y = x
2
+ 6
Graph moves: UP 6 units
100
Solve for x: x
2
= 4
What is x = 2 or -2
100
Solve by factoring: x
2
+ 5x + 6 = 0
What is (x + 2)(x+3) = 0 x = -2 or -3
100
Determine the number of solutions for the equation: x
2
+ 4x + 8 = 0
What is NO solutions
100
Solve for x: x
2
+ 7x + 10 = 0
What is x = -5 or -2
200
Sketch the graph of: y = (x - 3)
2
Graph moves: RIGHT 3 units
200
Solve for x: x
2
+ 9 = 90
What is x = 9 or -9
200
Solve by factoring: x
2
- 3x - 10 = 0
What is (x - 5)(x + 2) = 0 x = 5 or -2
200
Determine the number of solutions for the equation: 2x
2
- 6x - 4 = 0
What is TWO solutions
200
Solve for x: 2x
2
- 7x + 5 = 0
What is x = 10/4 or 1
300
Sketch the graph of: y = -x
2
+ 800000000
Graph moves: UP 800000000 units Faces DOWN
300
Solve for x: (x - 9)
2
= 144
What is x = 21 or -3
300
Solve by factoring: x
2
+ x - 20 = 0
What is (x + 5)(x - 4) = 0 x = -5 or 4
300
Determine the number of solutions for the equation: 4x
2
+ 8x + 4 = 0
What is ONE solution
300
Solve for x: 2x
2
- 5x - 12 = 0
What is x = 4 or -3/2
400
Sketch the graph of: y = (x + 3)
2
+ 20
Graph moves: LEFT 3 units UP 20 units Faces UP
400
Solve for x: 3(x+4)
2
= 363
What is x = 7 or -15
400
Solve by factoring: x
2
- 11x + 24 = 0
What is (x - 8)(x - 3) = 0 x = 8 or 3
400
Determine the number of solutions for the equation: 8x
2
+ 10x - 2 = 0
What is TWO solutions
400
Solve for x: 3x
2
+ 10x - 5 = 0
What is x = .442 or -3.775
500
Sketch the graph of: y = -(x - 40)
2
- 32
Graph moves: RIGHT 40 units DOWN 32 units Faces DOWN
500
Solve for x: -5(x + 6)
2
+ 27 = -112
What is x = 6 or -11
500
Solve by factoring: x
2
+ 9x - 36 = 0
What is (x + 12)(x - 3) = 0 x = -12 or 3
500
Determine the number of solutions for the equation: 2x
2
+ 16x + 32 = 0
What is ONE solution
500
Solve for x: 2x
2
+ 12x + 16 = 0
What is x = -2 or -4
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