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Chapter 1: Problem 57

Simplify each algebraic expression. $$11 a+12+3 a+2$$

Short Answer

Expert verified
The simplified algebraic expression is \(14a + 14\).

Step by step solution

01

Identify Like Terms

The expression given is \(11a + 12 + 3a + 2\). In this expression, \(11a\) and \(3a\) are like terms because they both have the variable \(a\). And \(12\) and \(2\) are like terms as they are both constants.
02

Combine Like Terms

Add the coefficients for the terms with the variable \(a\), which are \(11\) and \(3\). This gives \(14a\). Also, add the constants, \(12\) and \(2\), this gives \(14\).
03

Write Down The Simplified Expression

Write down the like terms together. Therefore the simplified form of the expression \(11a + 12 + 3a + 2\) would be \(14a + 14\).

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