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Difficulty: EasyTranslating Word Phrases into Algebraic Equations

A technician is configuring a power supply. The required output is described as twice the difference between the baseline voltage, vv, and six. What expression represents the required output?

  1. 2(v−6)2(v - 6)Answer
  2. B
    2v−62v - 6
  3. C
    2(6−v)2(6 - v)
  4. D
    6−2v6 - 2v

Answer

The expression 2(v−6)2(v - 6) correctly represents the required output.
The phrase 'difference between the baseline voltage, vv, and six' translates to (v−6)(v - 6). The word 'twice' means multiplying this entire difference by 22. Therefore, the correct translation must use parentheses to apply the multiplication to the whole difference, resulting in 2(v−6)2(v - 6).

Step-by-Step Solution

1
Translate 'the difference between the baseline voltage, v, and six'.
The expression becomes v−6v - 6.
The word 'difference' indicates subtraction in the order the terms are given.
2
Translate 'twice' applied to the entire difference.
The expression becomes 2(v−6)2(v - 6).
Multiplying an entire binomial expression requires placing it in parentheses to ensure the multiplication applies to both terms.

Key Concept

Translating Word Phrases into Algebraic Equations
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Topics

Translating Word Phrases into Algebraic Equations

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