1. Find a reasonable domain given a situation
Algebra 1 CC Regents Summary
Domain
Find a reasonable domain given a situation
2) Inequalities
-Solid vs dotted
-Flip symbol when dividing by a negative
-Shading
-Know “at least” and “at most”

2. 3) Linear Equations
Know meaning of m and b in the context of the question
Be able to write a linear equation given a situation
Graph a linear function
4) Functions
Each x can have only one y
Be able to determine if linear or exponential (usually from table)
Vertical line test

3. 5) Average Rate of Change
This is always slope- find the change in the y values divided by the change in x values
6) Quadratics
Solve (find the roots, zeros, x-intercepts) using either
Factoring (don´t forget GCF!!)
Complete the square
Quadratic Formula
Be sure to distribute, combine all like terms and set = 0 before attempting any of the above methods

4. Graphing
Be able to find the vertex (max or min)
a) Use axis of symmetry formula (x = -b/2a) or table on calc
    b) Identify interval when the graph is increasing/decreasing
     c) Interpret the meaning of the max/min in terms of the situation
7) Exponential
Be able to identify initial value and rate of growth/decay

5. 8) Parent Functions
Be able to identify the graphs of each of the parent functions especially Quadratic, Linear, Exponential, Square Root and Absolute value
9) Transformations
Know all rules
Be able to identify in problems

6. 10) Systems of Equations
Graphically
Elimination
Substitution

7. 11) Stats
Know all Calc Stuff:
STAT-> Calc-> #1 for 5 number summary, mean and standard deviation
STAT-> Calc-> #4 for linear regression line (line of best fit) and correlation coefficient (turn diagnostics on)
STAT -> Calc-> #0 for exponential regression equation
Residuals
No pattern = good fit
Pattern = poor fit
Boxplot- Graph of 5 # summary

8. Additional Topics
Rational/Irrational numbers
Sequences - n = term #
Find equation given a table
Solve equation for a variable (V = rht)
Factor completely