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Chapter 2: Problem 65

Write each phrase as an algebraic expression. \(x\) subtracted from \(-9\)

Short Answer

Expert verified
-9 - x

Step by step solution

01

Understand the Phrase

Identify the key components of the phrase. The phrase 'x subtracted from -9' involves subtraction where \(x\) is being subtracted from -9, not the other way around.
02

Set Up the Expression

When a number or variable is subtracted from another, the structure is \[\text{number or variable being subtracted from} - \text{number or variable that is subtracted}\]. Here, it translates to \(-9 - x\).
03

Write the Algebraic Expression

Combining the information from the previous steps, write the algebraic expression for the phrase. Thus, \(-9 - x\) is the algebraic expression for \(x\) subtracted from \(-9\).

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Key Concepts

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

Subtraction in Algebra
Subtraction in algebra might seem simple, but it鈥檚 important to understand the correct order and structure. The phrase 'x subtracted from -9' can be tricky.
To subtract one number from another, follow the correct sequence:
  • Identify the number or variable being subtracted (in this case, x).
  • Place the number or variable being subtracted after the term it is being subtracted from (-9).
Hence, 'x subtracted from -9' translates to \(-9 - x\), not \(-x - 9\). Always keep the order straight.
Variable Manipulation
Variable manipulation involves understanding how to work with variables in algebraic expressions.
When dealing with subtraction involving variables:
  • Ensure that you clearly identify which variable or number is being subtracted from which.
  • The expression \(-9 - x\) means that the variable \(x\) is being subtracted from \(-9\).
This means you must keep the variable in its correct place to avoid mistakes. Approaches in variable manipulation will help solve more complex algebra problems in the future.
Writing Expressions
Writing expressions correctly is a fundamental skill in algebra. When translating a phrase into an algebraic expression:
  • Break down the phrase to understand the operation and order.
  • Translate the understood phrase into the appropriate mathematical format.
In our example, 'x subtracted from -9,' we:
  • Identify that subtraction is the operation.
  • Recognize that \(x\) is subtracted from \(-9\).
As a result, we write the expression as \(-9 - x\). Mastering such translations will greatly streamline your algebra studies.

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