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Josie simplified an expression as shown below. In which step did Josie make mistake(s)?
Given: x + 3 + 7x(x - 5)
Step 1: x + 3 + 7x - 5
Step 2: 8x + 3 - 5
Step 3: 8x - 2
A. Step 1 and step 3
B. Step 2 and step 3
C. Step 1 and step 3
D. Step 1 only

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brycelaw318

Answer:

D. Step 1 only.

Step-by-step explanation:

Here, Josie didn't use the distributive property correctly. The other two steps are still right, so D is correct.

How it should have been done:

x + 3 + 7x(x - 5)

Use the distributive property to multiply 7x by x - 5.

x + 3 + 7x² - 35x (The boldened part is what should have happened for Step 1)

Combine x and -35x to get -34x.

7x² - 34x - 3 is what the earlier equation should be simplified to.

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