1
0
mirror of https://gitlab.com/magicalsoup/Highschool.git synced 2025-01-23 16:11:46 -05:00

Update Final_Exam_Study_Sheet.md

This commit is contained in:
James Su 2019-05-30 14:41:51 +00:00
parent 2c9b6b47ff
commit 3fd5a6e6aa

View File

@ -348,9 +348,9 @@
## Line Of Best Fit
- A line that represents the `trend` in a graph.
### How To Find The Line of Best Fit
1. Simply draw the line according to the properties of the line below.
2. Use a ruler when drawing the line.
3. Make sure the line of best fit represents the trend.
1. Simply draw the line according to the properties of the line below.
2. Use a ruler when drawing the line.
3. Make sure the line of best fit represents the trend.
### Properties Of Line Of Best Fit
- Shows the trend for the data in a scatter plot.
@ -361,9 +361,10 @@
## Curve Of Best Fit
- A curve that represents the `trend` in a graph.
### How To FInd The Curve Of Best Fit
1. Simply draw a curve that connects all the points.
2. You can also use an online graphing calculator, like [DESMOS](https://www.desmos.com/calculator).
1. Simply draw a curve that connects all the points.
2. You can also use an online graphing calculator, like [DESMOS](https://www.desmos.com/calculator).
## Time - Distance Graph
@ -395,5 +396,52 @@
|9|300|
|12|400|
- First label the x and y axis, since time is the **independent variable**, the `Hours Worked` will be `x-axis`. The `Pay in dollars` will be our y-axis.
-
## Graphing Non-Linear Relations
- Plot the points in a scatter plot.
- Use one smooth curve to connect all the points.
# Unit 7: Linear Relations
- Cartesian Coordination System: its a coordinate system that has 4 grids, with x and y values.
- <img src="https://ourvirtualclass.edublogs.org/files/2017/03/5rWa4At7ZCqwqxM2qG1jgFfM-29qxgiw.png" width="300">
- `Direct Variation`: A line that passes through or from the `origin`. Simply put, there is a point where the x and y values both equal to 0.
- `Partial Variation`: A line that does not pass through or from the `origin`. Simply put, there isn't a point where the x and y values both equal to 0.
## Recognizing Linear Relations
- Use either `table of values` or a graph to determine it.
- If the `first differences` in the table of value is constant, it is a linear relation.
- If the line that connects all the points is a straight line, it is a linear relation.
## Average Speed As Rate Of Change
- $` \text{average speed} = \frac{\text{Distance Traveled}}{\text{Time Taken}}`$
- The average speed, is simply equal to the rate of change.
## Solving Equations
- `Equation`: When the alegebraic expression are set to equal to each other.
- `Variable`: A number that can change (varies) $`\rightarrow`$ unknown.
- `Constant`: A number that always stays the same (doesn't vary).
- `To solve an equation is`: fidn the value of the variable (unknown), so that the left side of the equation and the right side of the equation are equal.
### Tips
- Remember if you do something to one side, you must do it to the other.
- Make sure to flip the negative/positive sign when moving an value to the other side.
## Deteriming Values in a Linear Relation
### Steps
1. Enter the data given in the question into this table.
2. Graph the data, Join the points with a line.
3. Determine the rate of change.
4. Extend the line on the graph to the left until it intersects the vertical axis.
5. Simply use the graph, by either looking at the x or y axis to solve the questions that are given.
## Two Linear Equations
- Plot the points and draw the lines for all the equations.
- The point where they intersect is called the point of intersection, and is when the equations equal to one another (the x and y values).
- In terms of money, the less steep the line, the better the deal is.
## Unit 8: Polynomials