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Which algebraic expression is equivalent to this expression?

(4r+11)+8r

A.
23x
B.
15x + 8
C.
-4x + 11
D.
12x + 11

1 answer

To simplify the expression \((4r + 11) + 8r\), we can combine like terms:

  1. Combine the \(r\) terms: \[ 4r + 8r = 12r \]

  2. Thus, the expression simplifies to: \[ 12r + 11 \]

Now, looking at the options provided:

A. \(23x\)
B. \(15x + 8\)
C. \(-4x + 11\)
D. \(12x + 11\)

None of these options appear to exactly match the expression \(12r + 11\). However, if we assume \(r\) could be \(x\) (which is common in algebraic expressions) and we replace \(r\) with \(x\), the expression \(12r + 11\) becomes \(12x + 11\).

Therefore, the correct answer is: D. \(12x + 11\).