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.

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.

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.

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.

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.

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.

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.

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.

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 │

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 .

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 .