Fireworks!
World of Quads
Linearly Speaking...
Stuck in THE Matrix
The SUM of it all...
100
Write the definition of the vertex of any parabola.
What is the highest/lowest point of a parabola?
100
The vertex form of any parabola with vertex at (h, k).
What is y = a(x - h)2 + k?
100
The number of points needed to create/write a linear equation y = mx + b.
What are 2 points?
100
State what this matrix [B] represent in the matrix equation: [A][X] = [B].
What is..."constant matrix"?
100
Find the value of the following series below:
What is....?
200
Describe the parabola by noting its concavity, number of x- and y- intercepts (if any), and which quadrant its vertex lies given the vertex form: y = 0.5(x + 3) - 7
What is...the parabola has a vertex on Quadrant III, concave up, and will have 2 x-intercepts and 1 y-intercept?
200
In transforming standard form, y = 2x2 + 6x + 8, to vertex form, y = a(x - h)2 + k, what is the next immediate step after dividing the coefficient 2 on both sides?
What is "completing the square"?
200
Another term for the "slope" of any line.
What is "first common difference"?
200
State the definition of an identity matrix and what it looks like.
What is: An identity matrix is any n x n matrix that when you multiply with another matrix [A] results in the same matrix product [A].
200
Determine the 7th term of the following sequence:
81, 73, 65, 57, 49, 41, ____
What is 33?
300
Determine whether the parabola of this quadratic equation crosses the x-axis and state the reason(s) why: y = -(x - 5)2 + 7
What is...yes it will cross the x-axis because this parabola is concave down with vertex on Quadrant 1, which is the highest point of its parabola?
OR
What is...yes, it will cross the x-axis because when finding its x-intercepts, set y = 0 and found after solving for x, we found that it will cross the x-axis twice?
300
Determine the number of points we need to create/write any quadratic equation?
What is three points?
300
DAILY DOUBLE!
What is the x-intercept in y= ax + b? Write your answer in coordinate form (x, y).
What is (-b/a, 0)?
300
Solve the following system of equations using matrices:
4x + 2y - 2z = 10
2x + 8y + 4z = 32
30x + 12y - 4z = 24
What is (-2, 6, -3)? OR What is x = -2, y = 6, and z = -3?
300
Write the following series below in summation notation:
3 + 8 + 13 + 18 + 23 + 28
What is sum_(n=2)^6 (3+5(n-1)) ?
OR
What is sum_(n = 2)^6 (5n-2) ?
400
Transform the equation below into its vertex form:
y = x2 - 5x + 16
What is....?
400
If only given an In/Out Table, state how to know if a function is quadratic or not.
What is..."find its second common difference"?
400
Given the system of equations below, describe their solution(s):
x + 5y = -8
x = -5y + 8
What is this system has no solution?
400
DAILY TRIPLE!
Solve the following system of equations using matrices:
What are (1, -1, -1, 1)? OR What are a = 1, b = -1, c = -1, and d = 1
400
State the term that we call the expression (2x + 1) in the summation notation below:
sum_(x=1)^10 (2x + 1)
What is "the summand"?
500
From the Fireworks unit problem, given its standard form, how long do viewers have to wait before the remains of the fireworks hit the ground? (Give a time interval. For example from ___ seconds to ___ seconds)
What is between 7 to 8 seconds?
500
Given the points from a parabola: (-1,-10), (3, 26), and (-4, 5)
Write the standard form of this quadratic equation.
What is y = 2x2 + 5x - 7?
500
Given two points: (1, 15) and (-3, 29)
Find the equation of the line using systems of equations ONLY. You can use any method of solving systems (elimination, substitution, or matrix algebra)
What is y = -3.5x + 18.5?
500
Describe the type of solution(s) with three planes shown below and state your reason why:
What is "No Solution" because three planes either intersect without having a common point (x, y, z), two planes are parallel to each other, or all three planes are parallel?
500
DAILY TRIPLE!
Find the sum of all the odd natural numbers between 1 and 200 (1 + 3 + 5 + 7 + 9 + ......+ 193 + 195 + 197 + 199)
What is 10,000?