Question

The difference of $3 x$ and 8 is $25 .$

   The difference of $3 x$ and 8 is $25 .$

Elementary Algebra

Elementary Algebra

John Redden 1st Edition

Chapter 2, Problem 52

Instant Answer

Solved by Expert Emily Himsel

01/26/2022

Step 1

The difference of $3x$ and 8 is 25, so we can write this as: \[3x - 8 = 25\] Show more…

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The difference of $3 x$ and 8 is $25 .$

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Key Concepts

Arithmetic Operations

Arithmetic operations, including addition, subtraction, multiplication, and division, form the basic tools for manipulating equations. In algebra, these operations are applied systematically to both sides of an equation to maintain equivalence while simplifying the problem to find the value of the unknown variable.

Translating Word Problems

Translating word problems into mathematical equations is a critical skill in algebra. It involves identifying key phrases, such as 'difference of' or 'is', and converting them into appropriate algebraic expressions and equations. This process helps bridge the gap between a real-world scenario described in language and the abstract representation used in mathematics.

Linear Equations

Linear equations are algebraic expressions that represent a straight line when graphed; they typically contain a single variable raised only to the first power. Solving linear equations involves using algebraic techniques to isolate the variable on one side of the equation, enabling one to find its value. This is foundational for further studies in algebra and higher mathematics.

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