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Select the TWO expressions below that are equivalent to 5(x + 3) - 4(2 points)

Responses

5x - 1
5x - 1

5x + 15 - 4
5x + 15 - 4

5x - 5
5x - 5

5x + 11
5x + 11

5x + 3 - 4

1 answer

To determine which expressions are equivalent to \(5(x + 3) - 4\), let's simplify that expression step by step:

  1. Distribute the \(5\): \[ 5(x + 3) = 5x + 15 \]

  2. Now, subtract \(4\): \[ 5x + 15 - 4 = 5x + 11 \]

So, we have: \[ 5(x + 3) - 4 = 5x + 11 \]

Now let's check which of the provided responses are equivalent:

  1. \(5x - 1\) - Not equivalent.
  2. \(5x + 15 - 4\) - Equivalent, simplifies to \(5x + 11\).
  3. \(5x - 5\) - Not equivalent.
  4. \(5x + 11\) - Equivalent.
  5. \(5x + 3 - 4\) - Not equivalent, simplifies to \(5x - 1\).

Thus, the two expressions that are equivalent to \(5(x + 3) - 4\) are:

  • \(5x + 15 - 4\)
  • \(5x + 11\)