Linear and Nonlinear Expressions – Practice Problems

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Linear and nonlinear equations play a prominent role in many disciplines such as engineering, physics, arts, economics, and biology. Directly proportional relationships in real life, like that between voltage and current, or that between mass and weight of an object, are considered linear. On the other hand, real-world applications of nonlinear equations include triangulation of GPS signals, conservation of mechanical energy when there is an elastic collision, manufacture of electronic parts, and design of the architecture of buildings. Learn about linear and nonlinear equations by helping the city attorney prove to the judge in a traffic court that Mofa, a scooter-rider enthusiast, has been driving recklessly off road by presenting the graphs of linear and nonlinear equations as evidences.
Common Core Reference: CCSS.MATH.CONTENT.8.FA.3

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Exercises in this Practice Problem
Identify if an equation is linear and nonlinear.
Identify which graphs are linear and which are nonlinear.
Find the nonlinear terms in the equations.
Determine which factored equations are linear.
Determine which statements are true.
Find the corresponding expression and state if it is linear or nonlinear.