To solve the problem of determining how many terms there are in the algebraic expression [tex]\( 8x + 1 \)[/tex], we need to understand what constitutes a "term" in an algebraic expression.
An algebraic expression is composed of one or more terms separated by addition [tex]\( (+) \)[/tex] or subtraction [tex]\( (-) \)[/tex] operators. Each term is typically a number, a variable, or a product of numbers and variables.
Now let’s analyze the given expression step by step:
1. The given expression is [tex]\( 8x + 1 \)[/tex].
2. Identify how many parts of the expression are separated by addition or subtraction. In this expression, the terms are separated by a [tex]\( + \)[/tex].
3. Here, the first term is [tex]\( 8x \)[/tex] and the second term is [tex]\( 1 \)[/tex].
So, in the algebraic expression [tex]\( 8x + 1 \)[/tex], there are two terms.
[tex]\(\boxed{2}\)[/tex]
