Solving Quadratic Equations
Math Trivia
Operations with Complex Numbers
Linear-Quadratic Systems
Linear Systems in 3 Variables
100
The graphs of quadratic equations take the form of a _____.
Parabola
100
What is the only even prime number?
2
100
What is i?
sqrt(-1)
100
The solution(s) of a linear-quadratic system are where the line and the parabola ________.
Intersect
100
Similar to an ordered pair (x,y), an ordered triple takes the form of:
(x,y,z)
200
What is the standard form for a quadratic equation?
ax^2+bx+c=0
200
For some countries on this continent, 4 considered an unlucky number.
Asia
200
Complex numbers take the form of a+bi. Which is the real part and which is the imaginary part?
a=real, bi=imaginary
200
How many solutions can a linear-quadratic system have?
0, 1, or 2
200
Describe, in your own words, the difference between solving by substitution and solving by elimination.
Answers will vary
300
Name two different ways a quadratic equation can be solved.
taking square roots, completing the square, quadratic formula, factoring
300
What is the only temperature that is the same in Celsius and Fahrenheit?
-40
300
What happens when you square i?
You get -1
300
Solve the linear-quadratic system graphically:
Approximately (-1.3, -1.3) and (2.3, 2.3)
300
If you were to solve the following system using substitution, what would be your first step?
2x-y-3z=1
-3x+2y+5z=-3
4x+3y+2z=-4
Solve one of the equations for one of the variables.
400
Solve the quadratic equation:
2x^2-6x-20=0
using the method of your choice.
5 and -2
400
How many seconds are in one day?
86,400 seconds
400
Simplify the complex expression:
(-8-3i)-(-9-5i)
1+2i
400
What would be the first step in solving the linear-quadratic system:
x-6=-1/6y^2
2x+y=6
Solve the linear equation for y:
Y=6-2x
400
Once you solve an equation in the system for one of the variables (step 1), what is your next step? What do you have to work with after this step?
Substitute the value you solved for into the other two equations for the variable you solved for. You’ll now have a system of equations in two variables.
500
Solve the quadratic equation by completing the square.
2x^2+4x-8=0
HINT: remember to get the formula into the form
x^2+bx=c
x=-1+- sqrt(5)
500
What is the sum of all 7 Roman Numerals?
Hint: I, V, X, L, C, D, M
1666
500
Simplify the complex expression:
(7+i)(6-9i)
51-57i
500
Solve the linear-quadratic system:
x-y=7
x^2-y=7
(0,-7) and (1,-6)
500
Solve the system of equations using any method:
2x-y-3z=1
4x+3y+2z=-4
-3x+2y+5z=-3
(2, -6, 3)