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Translate the sentence into an equation. Four less than the product of eight and the number g is equal to ten more than g.

Choose the best answer from the options below:

A 4 - 8g = 10 + g

B 8q - 4 = 10q

C 8g - 4 = 10 + g

D 8(g - 4) = 10 + g

1 Answer

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Final answer:

To translate the sentence into an equation, we can follow these steps: express the product of eight and the number g as 8g, translate 'Four less than' as -4, translate 'ten more than' as +10, and finally write the equation as 8g - 4 = 10 + g.

Step-by-step explanation:

The given sentence is: Four less than the product of eight and the number g is equal to ten more than g.

To translate this sentence into an equation, we can use the following steps:

  1. Express the product of eight and the number g as 8g.
  2. Translate the phrase 'Four less than' as -4.
  3. Translate the phrase 'ten more than' as +10.
  4. Write the equation using these translations: 8g - 4 = 10 + g.

Therefore, the correct equation is 8g - 4 = 10 + g, which corresponds to option C.

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