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# Interpreting nonlinear expressions — Basic example

Watch Sal work through a basic Interpreting nonlinear expressions problem.

## Want to join the conversation?

• Since the SAT is timed, would it be wiser to use his second method rather than first because it saves time?
• Yes, Sal explains multiple methods to solve the problems and you would pick the one you prefer the most.
• Ain't there shortcut methods. Khan academy solves questions in a way that it consumes lots of time.
• Yes, Sal tries to solve selected random problems on the SAT in a more detailed manner.
• Sal = legend
• These kinds of problems always sound confusing to me. Guess I just have to slow down and read clearly.
• this is in no way a basic example.the video is suppose to help you but this is something else
• I still don't get why he multiplied it by the 10^6 to the 0.75. Please explain.
• He used the law of exponents-(a^m)^n=a^mn
• One question. All these topics could be either in the section with calculator or that without? So you have to know how to do them without calc? Are there exceptions?
• what do -4.9t^2 and 8t represent?
• If you've taken a physics class before, one of the kinematic equations is Δx = V_0*t + 1/2 at^2. This relates the change in position to an initial velocity and an acceleration. For a projectile (like the basketball thrown up into the air), the acceleration would be the force of gravity, or 9.8 m/s^2. The initial velocity is what the ball has because of being thrown upwards. The displacement can be broken down to the difference between the projectile's height (h(t)), and an initial height (1.2). We can then modify the equation to look like what you have in the question:
Δx = V_0*t + 1/2at^2
h(t) - h_0 = 8t + 1/2 (-9.8)t^2
h(t) = -4.9t^2 + 8t + 1.2
Of course, you don't need to know where any equation that you see on the SAT comes from in order to answer the question correctly.
• What is the definition of basal metabolic