Simplifying Algebraic Expressions: 2.5 + 1/3(x-18)
In algebra, simplifying expressions is an essential skill to master. It involves combining like terms and eliminating any parentheses or fractions to arrive at a simplified form of the expression. In this article, we will explore how to simplify the expression 2.5 + 1/3(x-18).
Step 1: Simplify the Fraction
The expression 1/3(x-18) can be simplified by multiplying the fraction 1/3 to the binomial expression x-18.
$\frac{1}{3}(x-18) = \frac{1}{3}x - \frac{18}{3} = \frac{1}{3}x - 6$
Step 2: Combine Like Terms
Now, we can combine the simplified fraction with the decimal 2.5.
$2.5 + \frac{1}{3}x - 6 = 2.5 - 6 + \frac{1}{3}x = -3.5 + \frac{1}{3}x$
Simplified Expression
After combining like terms, the simplified expression is:
$-3.5 + \frac{1}{3}x$
In this expression, the constant term is -3.5, and the variable term is 1/3x.
Conclusion
Simplifying algebraic expressions such as 2.5 + 1/3(x-18) requires attention to detail and a solid understanding of algebraic operations. By following the steps outlined above, we can simplify complex expressions and make them easier to work with. Remember to always combine like terms and eliminate any parentheses or fractions to arrive at a simplified form of the expression.
