/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 17 Evaluate the algebraic expressio... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

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

Short Answer

Expert verified
The value of the given algebraic expression \(x^2 - 5x\) for \(x = -11\) is \(176\).

Step by step solution

01

Understand the Problem

The problem here is asking you to substitute the value of \(x = -11\) into the given algebraic expression and simplify.
02

Substitution of Value

So, first substitute the given value of \(x\) into the equation. That will give you \((-11)^2 - 5(-11)\)
03

Simplify the Expression

Next, simplify the expression according to the order of operations (PEMDAS/BODMAS rule), which prioritises exponentiation and multiplication before subtraction. It gives \(121 + 55 = 176\)
04

Final result

So, after substituting the value of \(x = -11\) into the algebraic expression it yields \(176\).

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