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Chapter 6: Problem 27

Evaluate the algebraic expression for the given value or values of the variables. \(-5 x^{2}-4 x-11 ; \quad x=-1\)

Short Answer

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Step by step solution

01

Substitute the value into the equation

Replace every instance of 'x' in the equation \(-5 x^{2}-4 x-11\) with the given value (-1). That results in the equation \(-5(-1)^{2}-4(-1)-11\).
02

Apply the order of operations

Firstly, compute the exponent part of the equation, which results in \( -5(1)-4(-1)-11 = -5 + 4 -11\). Then, simply add or subtract the numbers from left to right, which yields \(-12\).

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