1. How to solve equations One step equations:
1) Isolate x by undoing whatever has happened to x.
Two step equations:
2) Use SADMEP to tell us the order to do it in.
Multi-step equations:
1) Do I need to distribute?
2) Do I need to combine like terms?
3)Do I need to bring a variable term over to the left?
4) Now solve like a two-step.

2. How to solve inequalities:
One step inequalities:
Isolate x by undoing whatever has happened to x.
Did I divide or multiply by a negative? If so, flip the sign.
Two step inequalities :
1) Isolate x by undoing whatever has happened to x.
2) Use SADMEP to tell us the order to do it in.
3) Did I divide or multiply by a negative? If so, flip the sign.
Multi-step inequalities :
1) Do I need to distribute?
2) Do I need to combine like terms?
3)Do I need to bring a variable term over to the left?
4) Now solve like a two-step.
5) Did I divide or multiply by a negative? If so, flip the sign.

3. Is it a function? How to tell by looking at a graph:
1)Use Vertical Line Test: If I can touch more than one point on the graph, it fails my test and it is NOT a function.
How to tell by looking at a mapping:
1)Each x in the domain goes to exactly one y in the range. If even one x is pointing to more than one y, it is not a function.
How to tell by looking at a set of ordered pairs:
1) If even one x value repeats AND the repeating x value goes to a different y value, it is not a function.

4. How to determine domain and range:
If given an ordered pair:
1) For the domain, list all the x values.
2)For the range, list all the y values.
If given an equation and the domain:
1) Plug each domain value into the equation to find each y value.

5. Independent vs. Dependent
How to tell in a word problem:
Identify your variables.
Which variable comes first. That is your independent variable.
The other is your dependent.
How to tell in a graph:
Identify your variables on the graph.
The variable on the x-axis is the independent variable.
The variable on the y-axis is the dependent variable.

6. Scatterplots How to tell correlation:
1)Positive correlation: if one variable goes up, the other variable goes up.
2) Negative correlation: if one variable goes up, the other variable goes down.
3) No correlation: if one variable goes up, there is no pattern for the other variable.
How to predict from a trend line:
1)Draw a line in the center of your data so you have as many points above as below.
2) Find the x-value you’re interested in and find it’s corresponding y-value.

7. How to determine the x-intercept and the y-intercept:
From a graph:
1)The x-intercept is where the graph crosses the x-axis. The coordinate is (x,0).
2) The y-intercept is where the graph crosses the y-axis. The coordinate is (0,y).
From an equation:
The equation needs to be in standard form Ax + By = C
To solve for x, cover up the y term. Solve for x.
To solve for y, cover up the x term. Solve for y.

8. Is it a linear function? How to tell by looking at a graph:
Use the Vertical Line Test to determine if it is a function.
Is it a straight line?
How to tell by looking at a table:
1) Determine the rate of change for your x values and y values.
2) Is it constant?
How to tell by looking at a set of ordered pairs:
Put it into a table.
Determine if x values and y values have a constant rate of change.

9. Is it a linear equation? 1) Is it in standard form? Ax + By = C
2) If not, does it violate any of our rules:
Are x and y raised to any power other than one?
Are x and y multiplied together?
𝒙 or 𝒚
𝟐 𝒙 or 𝟑 𝒚
𝟑 𝒙 or 𝟒 𝒚
│ x │ or │ y │

10. Rate of Change If it is a graph: If it is a set of points:
Find two points. (Use the x-intercept and the y-intercept.)
Calculate 𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒚 𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒙 .
If it is a set of points:
1.) Calculate 𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒚 𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒙 .
2.) If you are given more than two points, just pick two.
If it is a table:
1.) Find rate of change for x-values and y-values:
2). For each point, calculate 𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒚 𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒙 .

11. How to find slope: If it is a graph: If it is a set of points:
Name your points 1 and 2.
Ask yourself: How many did I go up or down? That is your rise.
Ask yourself: How many did I go left or right? That is your run.
Slope = 𝒓𝒊𝒔𝒆 𝒓𝒖𝒏 .
If it is a set of points:
Name your ordered pairs ( 𝒙 𝟏 , 𝒚 𝟏 ) and ( 𝒙 𝟐 , 𝒚 𝟐 ).
Substitute the values into the slope formula: slope = 𝒚 𝟐 − 𝒚 𝟏 𝒙 𝟐 − 𝒙 𝟏 .