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Complete the number machine so that z = 5w - 3.

a. z = 5(w - 3)
b. z = 5w - 3
c. z = 5w + 3
d. z = 5(w + 3)

User Perki
by
8.8k points

1 Answer

2 votes

Final answer:

Option (b) z = 5w - 3 is the correct answer as it matches the desired expression z = 5w - 3 exactly without any modifications.

Step-by-step explanation:

The student is asking for the correct expression that completes the number machine equation where z = 5w - 3. Looking at the options provided:

  • z = 5(w - 3) would actually equate to z = 5w - 15 when distributed, not z = 5w - 3.
  • z = 5w - 3 is exactly the same as the target equation, so it is correct.
  • z = 5w + 3 adds 3 instead of subtracting it, making it incorrect.
  • z = 5(w + 3) would equate to z = 5w + 15 when distributed, which is not z = 5w - 3.

Therefore, option (b) z = 5w - 3 is the correct answer as it matches the original equation without modifications.

User Apoorv Nag
by
7.9k points

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