Building Blocks
Simplify
2x + 3x + 5
5x + 5
What is slope-intercept form? State what part is the slope and what part is the intercept.
y = mx + b
m - slope, b - intercept
Multiply
(y + 6)(y + 5)
y2 + 11y + 30
Write any exponential function
e.g. y = 2x
Where do you turn in your homework in this class?
The black bin in front of Mr. Langhoff's desk
What is the difference between an expression and an equation?
Equations have an equals sign and expressions do not.
Find the slope of a line through the following points:
(16, 1), (17, 7)
6
Multiply
(2x+1)(x-2)
2x2 - 3x - 2
If a quantity grows by the same amount every month, is its growth linear or exponential?
Linear
What is the full name of this school?
Lynde and Harry Bradley Technology and Trade School
Simplify
2(a + 5)
2a + 10
Write an equation for a line through the point (3, 5) with slope -1
y - 5 = -(x - 3)
Multiply
(5x + 6)(8x - 4)
40x2 + 28x - 24
If a quantity grows by the same percent every month, is its growth linear or exponential?
Exponential
What is an irrational number?
A number that can't be written as a fraction with integers in the numerator and denominator?
Define x-intercepts and y-intercepts
The points where a graph crosses the x and y axes, respectively.
Write an equation for a line through the points (1,2) and (3, 3)
(Multiple possible responses, teacher will check)
State the quadratic formula
(teacher will check answer)
In the expression y = 2 * 1.5x , Identify the coefficient, the base, and the exponent.
Coefficient: 2
Base: 1.5
Exponent: x
What do Mr. Langhoff's math tattoos mean?
They reference the rate of change, he got them when he found out he was having a child.
What are you going to bring to class every day next semester?
Pencil, Notebook, and a Scientific Calculator
Why are linear equations called linear?
Because when you graph them you get a straight line.
How can we tell if a parabola opens upward or downward, only by looking at its equation?
The leading coefficient is positive if it opens upward, negative if it opens downward.
If something grows exponentially, its growth rate is proportional to its _____________
size
Solve the equation
0 = 2x2 - x - 1
1, -1/2