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Zorluk: KolayTranslating Word Phrases into Algebraic Equations

A shipment contains a number of crates equal to twice the quantity of seven less than the target value, vv. What expression defines the number of crates?

  1. 2(v−7)2(v - 7)Cevap
  2. B
    2v−72v - 7
  3. C
    2(7−v)2(7 - v)
  4. D
    7−2v7 - 2v

Cevap

The correct expression is 2(v−7)2(v - 7).
The phrase 'seven less than the target value, vv' establishes a baseline amount of v−7v - 7. The problem then states we need 'twice the quantity of' that baseline amount. To multiply the entire baseline amount by two, we must enclose v−7v - 7 in parentheses, resulting in 2(v−7)2(v - 7).

Adım Adım Çözüm

1
Translate the phrase 'seven less than the target value, vv'.
The expression becomes v−7v - 7.
The phrase 'less than' is a turnaround phrase, meaning the seven must be subtracted from the variable vv.
2
Translate the phrase 'twice the quantity of' and apply it to the first step.
The final expression is 2(v−7)2(v - 7).
The word 'quantity' indicates that the entire previous expression (v−7v - 7) must be grouped in parentheses before multiplying by two.

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Translating Word Phrases into Algebraic Equations
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Translating Word Phrases into Algebraic Equations

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