## Using Graphs of Equations

#### Aligned To Common Core Standard:

**High School** - HSA-REI.D.10

Why Do We Graph Equations? We cannot emphasize the importance of graphs, enough. They are an excellent way to define a relationship visually. The purpose of drawing a graph is to represent complex and complicated data (a data that involves too many numbers) that needs to be expressed in less space and less text. Though there are many computer programs that can generate a graph, you don't always have access to such software and programs. So why not understand the importance of graphing equation. Equations; particularly linear equations express the dependability of one variable over the other. They have two variables and where x variable is a dependent variable and y variable is the independent variable. In linear equations, one variable shows the dependency over the other which can only be represented when the equations are plotted on a graph. Graphs make a complex relationship easier and clearly defines the link between the variables if plotted correctly. However, bear in mind that if the data express a notable trend or reveals a relationship between variables, only then it is required to use a graph. If there isn't any evidence of a significant trend, a graph is not the figure of choice. A graph of an equation can tell you a great deal about the nature of the equation. These worksheets and lessons will help you better understand what you can tell about an equation from a graph of it.

### Printable Worksheets And Lessons

- Function Graphing
Step-by-step Lesson- Plot the ordered pairs to graph the function.

- Guided Lesson
- See how you can use the slope of a graph to solve word problems.

- Guided Lesson Explanation
-Couldn't fit plurals in there, sorry about that.

- Practice Worksheet
- A nice mix of using the switch between making the graph and interpreting
it.

- Matching Worksheet
- Solve the problem by reading the graphs.

#### Homework Sheets

We have the graph a table, then an equation, and then a situation.

- Homework 1 - We can graph a function by plotting ordered pairs.
- Homework 2 - The graph of the function is the straight line connecting the points.
- Homework 3 - This graph shows the total number of toffees Era has in her box as related to the amount of money she spent on toffees.

#### Practice Worksheets

The first one in each set here is purposely easy to build confidence.

- Practice 1 - Plot the graph and take a look.
- Practice 2 - This graph shows the relationship between the number of Indoor games Julia has and the amount of money she spent on them.
- Practice 3 - This graph shows the relationship between the numbers of shoes Jacky has and the amount of money he spent on them. How much money does Jacky need to spend on shoes in order to have a total of 50 Shoes?

#### Math Skill Quizzes

Two situation graphs and also plain points to plot.

- Quiz 1 - The graph shows how the total number of eggs that Elion has in his bucket is related to the amount of money he spent on the eggs. How much money does Elion need to spend on eggs in order to have a total of 100 eggs in his bucket?
- Quiz 2 - This graph shows relationship between the total number of wallets Rochelle has and the amount of money she spent on wallets.
- Quiz 3 - How much money does Ronnie need to spend on cold-drinks in order to have a total of 20 colddrinks for his party?