Add/Subtract Complex Numbers
Simplify the following expression:
2x+3x
What is,
5x?
Simplify the following expression:
2x\cdot3x
What is,
6x^2?
Using your whiteboards, graph the point (3,2).
What is, the point that is 3 to the right and 2 units up from the origin?
What is, complex numbers that do not have a real part and only the imaginary part like 3i?
Girl Math: If you purchase something with cash, what was the real price?
What is, free?
Simplify the following expression:
3x^2+5x+2-(2x^2+4)
What is,
x^2+5x-2?
Simplify the following expression:
(x+3)(x+2)
What is,
x^2+5x+6?
Double Points: What quadrant does the point (-2,-5) lie in?
What is, Quadrant 3 as it is in the bottom left part of our graph?
Double Points: Find the solutions to
x^2=-1
What is,
-i and +i?
Girl Math: If you paid half the amount using a gift card, then what was the real price?
What is, free?
Simplify the following complex number:
(3+2i)+(5+2i)
What is,
8+4i?
Multiply the following complex numbers:
(2+3i)(3+2i)
What is,
13i?
Using your whiteboards, graph -2+3i.
What is, the same as the point (-2,3)?
What is the general form of a complex number and it's conjugate.
What is, a+bi and a-bi?
Girl Math: If you ended up returning something, what did you really end up doing?
What is, gaining money?
Simplify the following complex number:
(3+2i)-(5-3i)
What is,
-2+5i?
Multiply the following:
(3+4i)(3-4i)
What is,
25?
Using your whiteboards, graph the conjugate of -3i+5.
What is, the same as the point (3,5)?
Are the set of complex numbers closed under addition?
What is, no, if we add (2+3i) and it's conjugate (2-3i), we get back 4, which is no longer a complex number since there is no imaginary part to it. Thus, the set of complex numbers is not closed under addition since if we add two complex numbers, there are some situations where we will get back a number that is not complex.
Flores Math: 45+45?
What is, 135? Shout out to all my gym rats.
What occurs when you add a complex number with it's conjugate?
What is, the imaginary part disappears and it is no longer a complex number?
Double Points: What occurs when you multiply a number by it's conjugate.
What is, the imaginary part disappears?
In terms of a graphical representation, how is a complex number related to it's conjugate?
What is, they are mirror images of each other? They are reflections of each other over the x-axis?
Define i and i2.
What is,
i=\sqrt{-1} and i^2=-1?
Flores Math: If Flores tells his fiance that a little project on his car is only going to take a couple of hours, how long is it really going to take?
What is, the entire weekend?