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Quadratic Equations
Conic Sections
Completing the Square
The Quadratic Formula
Systems of Equations with Circles
100
These numbers are the solutions for x^2 + 6x + 8 = 0.
What are -4 and -2?
100
All conic sections are part of this figure
What is a cone?
100
The missing number in the perfect square trinomial x^2 + 20x + ____.
What is 100?
100
The name given to a value derived from b^2 - 4ac.
What is a discriminant?
100
These are the four types of methods used to solve systems of equations with circles.
What are graphing, substitution, elimination, and matrices?
200
What are the solutions for x^2 - 4 = 0?
What are 2 and -2?
200
(x-h)^2+(y-k)^2=r^2 is the equation to this
What is a circle?
200
Answers for x^2 - 3x = 28 using completing the square.
What are -4 and 7?
200
Name the discriminant and the number and type of solutions for x^2 + 4x + 5 = 0.
What is -4 and two imaginary?
200
Solve for x. y=x x^2+y^2=4
What is x=+/-√2
300
The solutions for 6x^2 + 4x = 0
What are -2/3 and 0?
300
If p > 0, a parabola opens this way
What is up?
300
Answers for 4x^2 + 4x = 3 using completing the square.
What are -3/2 and 1/2?
300
Solve using the quadratic formula x^2 + 8x + 12 = 0.
What are -6 and -2?
300
This system is the most appropriate system to solve these equations: 2x-y=-3 4x-2y=6
What is elimination?
400
Solutions for 3x^2 - 48 = 0
What are -4 and 4?
400
To find the vertices, co-vertices, or foci in a hyperbola you use this
What is a^2+b^2=c^2?
400
Standard form is y = x^2 + 4x + 1. Name the vertex form.
What is y = (x + 2)^2 - 3?
400
Solve using the quadratic formula x^2 + 6x - 5 + 0.
What is -3+/-√14?
400
The number of solutions a circle and tangent has...
What is one solution?
500
Solutions for 4x^2 - 80 = 0.
What are +/-2√5?
500
In a parabola, this always wraps around the focus and goes away from the directix
What is the vertex?
500
Standard form is y = 2x^2 - 8x + 1. Name the vertex form.
What is y = 2(x - 2)^2-7?
500
Solve using the quadratic formula 8x^2 - 2x - 3 = 0.
What are -1/2 and 3/4?
500
Solve using a System... x^2+y^2=16 x+y=1
What is no solution?