Problem 57 - Introductory Algebra for College Students

Question

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

Step-by-Step Solution

Answer

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

Step 1: 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.

Step 2: 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 \(14\).

Step 3: Write Down The Simplified Expression

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