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stealth61 [152]
3 years ago
8

Table show step by step how do you simplify the algebraic expression 3(x-5)+4x. Justify step 4​

Mathematics
1 answer:
ale4655 [162]3 years ago
6 0
<h3>Answer: Commutative Property (choice C)</h3>

===================================================

Explanation:

Here are all of the justifications for each step

  • Step 1. None needed. This is the original expression
  • Step 2. Distributive property
  • Step 3. Multiply  (the 3 and 5 multiply to 15)
  • Step 4. Commutative property. Specifically, this is the commutative property of addition which allows us to add any two numbers in any order we want. In this case, the  -15 and 4x terms swap places.
  • Step 5. Associative property. The parenthesis group the first two terms away from the third term.
  • Step 6. Combine like terms. Both 3x and 4x have an x only so they are like terms that combine to 7x. You can think of it as 3+4 = 7, then you just tack an x onto everything to get 3x+4x = 7x.
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