Expressions, equations and functions
Imaginary Numbers
Models and Functions
Statistics
Random
100
What is the difference between an expression and equation?
An equation has an equal sign, an expression does not
100
Name 2 types of numbers
Rational, integers, whole, natural/counting, irrational, complex
100
Name 2 types of models we use
Linear, exponential, quadratic, logarithmic
100
Give me a real-life example of something that would have strong correlation
Answer will vary
100
Solve for x: 4x - 8 = 12
x=5
200
Instead of "y=" a function has:
f(x), g(x), h(x), etc...
200
√-16
4i
200
f(x) = ax2+bx+c describes what model?
Quadratic
200
What do we look at to try and define correlation?
The graph
200
What is the simplified form of the expression 3x + 2y - 5x + 7y?
−2x+9y
300
What makes a function different from an equation?
A function sees x and y as inputs and outputs
300
What is i1 equal to? What is i2 equal to?
√-1 and -1
300
Describe what the graph would look like for 2 models
Linear: Line
Quadratic: U shape
Exponential: Slowly growing curve
Log: Two curves that get close but never touch
300
Define mean, median, mode and range
Mean: Average
Median: Middle number
Mode: Number that appears most often
Range: (Maximum value) - (Minimum value)
300
Factor the quadratic: x2−5x+6
(x−2)(x−3)
400
What property do we use to make solving equations easier?
Distributive
400
Multiply (2+3i)(5+2i)
4+19i
400
What do we use log to solve for?
Equations with exponents
400
What does positive correlation look like? Negative correlation?
When one thing goes up, and the other also goes up and when one thing goes up, and the other goes down
400
What is the slope-intercept form of the equation of a line, and what does each parameter represent?
y=mx+b, where m is the slope and b is the y-intercept.
500
What changes when you combine like terms?
The coefficient
500
What do we use complex numbers to solve for?
The square root of negative numbers
500
What is the form of a logarithmic function?
500
Give me 2 of the 3 other ways you can represent stats
dot plot, box and whiskers chart and histogram(bar graph)
500
Solve the system of equations:
2x+3y=12
4x−y=5
x=3, y=2