Discriminant
What is a Discriminant? That is, what does it represent?
The number of solutions from a quadratic equation
What is the equation for the Quadratic Formula?
x=(-b+-sqrt(b2-4ac))/(2a)
Solve for the following multiplication problem: 2a2*5ab3
10a3b3
What is a complement?
The opposite of a certain event occurring; all elements in an event that is not in said event.
Written as A'
Graph the following intercept equation: y=-(x+3)(x+1)
Answer Card 1
What is the equation for the Discriminant?
Set up the Quadratic Formula using the following Quadratic: 2x2+4x-6
x=(-4+-sqrt(42-4(2)(-6)))/(2(2))
Factor the following Quadratic Equation: x2-3x-10
(x+2)(x-5)
Draw a tree diagram for flipping a coin 2 times
Answer Card 3
Find the vertex for the following equation: 4x2-16x+11
(2,-5)
Solve the equation for the Discriminant using the following quadratic equation: 2x2+4x-6
x=64
What is the number of solutions that we can possibly get from a Quadratic Formula?
2 or 1 or none
What are the x-intercepts for the following Quadratic Equation: 2(x-3)(x+7)
x=3 & x=-7
1/13 or 0.07 or 7%
Given the following line, graph the equation in Vertex Form (Cue Card 1)
Answer Card 2
You solve for a Discriminant. You get an answer of x=0. Interpret the results.
The equation has only 1 solution
What do the solutions from a Quadratic Formula represent?
The x intercepts of a parabola
Find the solutions for the following Quadratic Equation: 2x2+4x-30
x=-5 and x=3
What is the probability of selecting a month that starts with the letters A or M and then flipping a coin and getting heads?
1/6 or 0.167 or 16.7%
What are the names of the THREE different forms of Quadratic Equations?
Vertex Form, Standard Form, Intercept (or Factored) form.
What do each of the three outcomes for a Discriminant represent? That is, how many solutions for each?
A positive Discriminant represents 2 responses, a negative Discriminant represents no real solutions, and a zero represents 1 solution.
Solve the following Quadratic Formula: 2x2+4x-6
x=7 and x=-9
Solve for the Max Height (y) given the following equation: y=-16t2+64t+10
y=54
Draw and label a Venn Diagram based on the following problem: A group of 140 people were asked if they watch TV and listen to the radio.
15 people said they do neither
80 people said they listen to the radio
53 people said they listen to the radio AND watch TV
Answer Card 4
Write out the three different forms of Quadratic Equations using variables (Hint: use the following letters in your equations: a,b,&c ; a,h,&k ; a,p,q)
y=ax2+bx+c
y=a(x-h)2+k
y=a(x-p)(x-q)