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Systems
Quadratic Equations
Formulas
Factoring
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100
Explain the conditions that will make a system of equations have 1 solution.
Two lines that intersect at one point.
100

y=a(x-h)^2+k

What is vertex form?

100

(-b/(2a),f(-b/(2a)))

What is the formula for the vertex in standard form?
100

2x^3-4x=2x(x^2-2)

What is greatest common factor?

100

Simplify 

sqrt(96)

4sqrt(6)

200
Explain the conditions that will make a system of equations have no solutions

Two parallel lines

200

y=ax^2+bx+c

What is standard form?

200

(-b+-sqrt(b^2-4ac))/(2a

What is the quadratic formula?

200

(a+b)(a-b)

What is the difference of squares factor pattern?

200

Evaluate 

i^122

-1

300

Explain the conditions that will make a system of equations have infinitely many solutions.

Two equations that represent the same line.
300

y=a(x-P)(x-Q)

What is intercept form?

300

b^2-4ac

What is the discriminant?
300

(a+b)(a^2-ab+b^2)

What is the sum of cubes factor pattern?

300

Give an example of a parabola in vertex form whose vertex is in the 3rd quadrant, faces down, and is wider than y = x^2

Example:  y = -0.5(x+3)^2-4

400

What is the slope of the equation 5x + 3y = 15?

-5/3

400

Under what conditions would ax^2+bx+c = 0 have two imaginary solutions?

If b^2-4ac<0

400

If ab = 0, then a = 0 or b = 0

What is the Zero Product Property

400

(a-b)(a^2+ab+b^2)

What is the difference of cubes factor pattern?

400

What is the coefficient of x^2 in the expansion of (x - 2)^5?

-80

500

What is the x-intercept of the equation 5x + 3y = 15?

(3, 0)

500
What is the sum of the roots for ax^2+bx+c=0?

-b/a

500

((P+Q)/2,f((P+Q)/2))

What is the formula for finding the vertex in intercept form?

500

a+bi and a - bi

What are complex conjugates?

500

Find all roots for 

2x^3-x^2+8x-4=0

-2i, 2i, 1/2