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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
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 \( 5 \) in the expression: \[ 5(x + 3) = 5x + 15 \]

  2. Subtract \( 4 \) from the result: \[ 5x + 15 - 4 = 5x + 11 \]

Now we have simplified \( 5(x + 3) - 4 \) to \( 5x + 11 \).

Next, let's compare with the given options:

  1. \( 5x - 1 \) 
  2. \( 5x + 15 - 4 \) (This simplifies to \( 5x + 11 \))
  3. \( 5x - 5 \)
  4. \( 5x + 11 \)
  5. \( 5x + 3 - 4 \) (This simplifies to \( 5x - 1 \))

The two expressions equivalent to \( 5(x + 3) - 4 \) are:

  • \( 5x + 15 - 4 \) (which simplifies to \( 5x + 11 \))
  • \( 5x + 11 \)

So, the two correct responses are:

  • \( 5x + 15 - 4 \)
  • \( 5x + 11 \)