Problem 2 Evaluate each expression for \(x... [FREE SOLUTION]

91影视

Introductory Algebra for College Students

Robert Blitzer

$Math Studyset 91影视 Explanations$ Math

6 Edition

Chapter 1: Problem 2

Evaluate each expression for $x=4$. $$x+10$$

Short Answer

Expert verified

The evaluated value of the expression when $x = 4$ is 14.

Step by step solution

Identification of the Expression

The algebraic expression provided in the exercise is $x + 10$.

Substitution

Next, substitute the given value, $x = 4$, into the expression: $4 + 10$.

Evaluation

Add the numbers in the expression to get the evaluation: $4 + 10 = 14$.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Algebra

Algebra is a fundamental part of mathematics, focusing on using symbols like letters to represent numbers. This makes it versatile because you can solve problems where the values of the symbols aren鈥檛 immediately known. Imagine algebra like a language that describes relationships between quantities. For instance, in our exercise, the algebraic expression is $x + 10$. The $x$ here is a placeholder that can be changed or filled with different numbers. Algebra allows mathematicians and students to express general mathematical principles and relationships in a concise way, making problem-solving more dynamic.

The Role of Substitution

Substitution is a key technique in algebra. It鈥檚 like swapping out a placeholder symbol with an actual number. This helps transform an algebraic expression into a numerical one, which is easier to solve. For example, in the exercise, you're asked to substitute $x = 4$ into the expression $x + 10$. This is as simple as replacing $x$ with 4 in the equation, leading to $4 + 10$.
Substitution makes it easy to evaluate expressions and understand how different values affect the outcome.

Helps in making abstract expressions more concrete.
Forms a crucial step for further calculations.
Simplifies the process of solving equations.

By practicing substitution frequently, you will find evaluating even more complex expressions becomes second nature.

Mathematical Evaluation

Once substitution has been applied, the next step is evaluation. This simply means doing the math to calculate the result. In our exercise, after substituting $x$ with 4, we get $4 + 10$. The evaluation here involves adding these two numbers together, which results in 14.
Evaluations take substitute expressions and turn them into definitive numerical answers:

Improves calculation skills.
Provides the final solution to algebraic problems.
Ensures the process leading to the solution is logical and accurate.

This step completes the process of solving an expression, allowing you to understand the direct impact of numbers in equations. With continual practice, handling evaluation becomes quick and instinctive.

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91影视

Evaluate each expression for \(x=4\). $$x+10$$

Short Answer

Step by step solution

Identification of the Expression

Substitution

Evaluation

Key Concepts

Understanding Algebra

The Role of Substitution

Mathematical Evaluation

One App. One Place for Learning.

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