Problem 49

Question

Simplify each algebraic expression. $$11 a-3 a$$

Step-by-Step Solution

Verified
Answer
The simplified form of the expression \(11 a - 3 a\) is \(8 a\).
1Step 1: Identify like terms
In the given algebraic expression \(11 a-3 a\), 'a' is the common variable in both terms. Therefore, both \(11 a\) and \(-3 a\) are regarded as like terms.
2Step 2: Combine like terms
Like terms can be combined by adding or subtracting the coefficients. Here, subtract the coefficient of \(-3 a\) from the coefficient of \(11 a\). This means \(11 - 3 = 8\). So, the expression simplifies to \(8 a\).