Complex Numbers
Simplify: (8-2i)(-3+4i)
What is -16 + 38i?
Solve the following by factoring:
15x2 + 6x - 9 = 5x - 7
What is x = -2/5 and 1/3?
Convert to vertex form: y = 2x2 + 12x + 10
What is 2(x+3)2 - 8?
What is the value of the discriminant and what does this mean about the roots?
f(x) = 9x2 - 6x + 1
What is 0? There is one real rational root.
I fall in the winter but I never get hurt. What am I?
Snow
Simplify: (12 + 4i) - (5 - 2i)
What is 7 + 6i?
Solve by square roots:
2x2 - 5 = 19
x=+/-2 sqrt 3
Convert this function to standard form:
f(x) = -3(x + 1)2 - 12
What is -3x2 - 6x - 15?
What is the equation of a quadratic function that has a vertex of (-2,-10) and has no real zeros
What is f(x) = - (x + 2)2 - 10?
*Any negative a value is okay)
When is the Winter Solstice this year?
Sunday, 12/21
Simplify i42
What is -1?
Solve by completing the square:
x2 + 6x + 10 = 0
x = -3 +/- i
Write a quadratic equation in factored form that has real zeros at (-5,0) and (1/3, 0) using integers.
(x + 5)(3x - 1)
Write the function in factored and standard form (with integer coefficients) that has roots of: (-2/3, 0) and (6, 0)
What is:
Factored Form: (3x+2)(x-6)
Standard Form: 3x2 - 16x - 12 ?
What is the special candle holder used during Hanukkah called?
A menorah
Simplify: 6 - (3i - 2)
8 - 3i
Solve: 3x2 + 4x + 7 = 0
What is x = (-2 plus or minus i root 17)/3?
Write a quadratic equation in standard form with integer coefficients that has real zeros at -3 and 7/2.
2x2 - x - 21
Describe how the graphs of f(x) = 1/2(x - 3)2 + 4 is different from the parent function f(x) = x2?
What is: shifted right 3 units, up 4 units, wider by a factor of 1/2?
What are the names of the burglars in Home Alone?
Harry & Marv
sqrt 34
Solve:
26x2 - 17x = 5 + 20x + 2x2
x = -1/8 and x = 5/3
f(x) = 2x2 + 4x - 16
Vertex Form: 2(x + 1)2 - 18
Factored: 2(x + 4)(x - 2)
If y = 2x^2+9x - 7, what is the line of symmetry?
What is x = -2.25?
Which Christmas movie was released in June but became a holiday classic anyway?
a. Elf
b. Miracle on 34th Street
c. It's a Wonderful Life
Miracle on 34th Street (b)