Linear
pp 18-32 in workbook
Linear Equations:
point-slope form: y - y_1 = m(x - x_1)
standard form: ax + by = c
slope intercept form: y = mx +b
remember: (x_1 , y_1) are just the terms of ONE point on the line. If you're given two points, then you'll use (x_1, y_1) as one point, and (x , y) as your other.
Constant of Variation:
direct: y = kx
indirect: xy=k
Types of lines:
parallel lines have the same slope (m value)
perpendicular lines have slopes that are negative reciprocals of each other (ex. (1/2) and -2)
Systems of Equations:
manipulating equations to eliminate a variable when the two equations are added
substitution
Absolute Values:
terms inside | | can be + or - to satisfy the formula
ex. | x | = 2 --> x = 2 or x = -2
Inequalities:
***when you're multiplying by a negative number, the direction of the inequality symbol is reversed.
ex. -2x > 4 becomes x < -2
Functions
pp 11-17 in workbook
is it a function? vertical line test - if it fails the vertical line test, it's not a function
NO DIVISION BY 0
be able to identify the domain and range of functions (graphically or with coordinate points), find the roots, and identify the independent and dependent variables
evaluate a function f(x) at a that's saying, x = a, so you plug a into your equation and solve for f(a)
Sample Questions EOC
If you have questions on these notes, any problems in the workbook, or questions about problems for tomorrow (pp 1- and pp 7-10), comment here or bring your questions to class!
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