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Common Core for Grade 8

Common Core for Mathematics

More Math Lessons for Grade 8

Examples, solutions, videos, and lessons to help Grade 8 students learn how to interpret the equation *y = mx + b* as defining a linear function, whose graph is a straight line; give examples of functions that are not linear.

*For example, the function A = s*^{2} giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.

Common Core: 8.F.3

### Suggested Learning Targets

**Interpret the equation y = mx + b as defining a linear function (Common Core 8.F.3)**

**Linear v Non Linear Functions 1 (8.F.3)**

How can you tell if a function is linear?

• Graph is a straight line.

• Equation can be written in the form y = mx + b

Examples of linear, exponential and quadratic functions.

**8.F.3-1 - Linear vs. Non-Linear Functions**
**8.F.3 Types of Functions**
**8.3 Representing linear functions**
**Linear or Non-Linear Functions**
**Non Linear Functions 8.F.3**

In this common core example, we look at non linear functions through the structure of an equation, table and graph.**Linear & Nonlinear Functions**

Identify functions using tables, graphs or equation.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Common Core for Grade 8

Common Core for Mathematics

More Math Lessons for Grade 8

- I can recognize that a linear function is graphed as a straight line represented as an equation in the form y = mx + b.
- I can recognize the equation y = mx + b is the equation of a function whose graph is a straight line where m is the slope and b is the y-intercept
- I can provide examples of nonlinear functions using multiple representations (tables, graphs, and equations).
- I can compare the characteristics of linear and nonlinear functions using various representations.

How can you tell if a function is linear?

• Graph is a straight line.

• Equation can be written in the form y = mx + b

Examples of linear, exponential and quadratic functions.

In this common core example, we look at non linear functions through the structure of an equation, table and graph.

Identify functions using tables, graphs or equation.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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