Question

Evaluate. $$ -3-x^{2}+12 x, \text { for } x=5 $$

   Evaluate.
$$
-3-x^{2}+12 x, \text { for } x=5
$$

Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 15, Problem 57

Instant Answer

Solved by Expert Julie Silva

05/19/2020

Step 1

This gives us $-3 - 5^2 + 12 \times 5$. Show more…

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Evaluate. $$ -3-x^{2}+12 x, \text { for } x=5 $$

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Key Concepts

Algebraic Expression Evaluation

This concept involves determining the numerical value of an algebraic expression by systematically applying arithmetic operations after substituting specific values for the variables. It is a fundamental skill in algebra that enables one to move from abstract expressions to concrete numbers.

Substitution

Substitution is the process of replacing variables in an expression with given numbers or other expressions. It is essential in evaluating functions and expressions, solving equations, and verifying solutions, as it allows one to compute specific values based on variable inputs.

Order of Operations

This rule set dictates the sequence in which mathematical operations (such as parentheses, exponents, multiplication, division, addition, and subtraction) must be performed. Adhering to the correct order of operations is crucial to ensuring accurate results when evaluating expressions.

Polynomial Expressions

A polynomial is an expression composed of variables and coefficients, structured using addition, subtraction, and multiplication, along with non-negative integer exponents. Understanding how to manipulate and evaluate polynomial expressions is a key component of algebra.

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