What is the value of [tex]$2+5 x$[/tex] when [tex]$x=3$[/tex]?
Answer (2)
The value of the expression 2 + 5 x when x = 3 is 17 . This is determined by substituting 3 for x , multiplying, and then adding. Thus, the calculation is 2 + 5 ( 3 ) = 2 + 15 = 17 .
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Substitute x = 3 into the expression 2 + 5 x .
Multiply 5 by 3 to get 15 .
Add 2 to 15 .
The value of the expression is 17 .
Explanation
Understanding the Problem We are asked to find the value of the expression 2 + 5 x when x = 3 . This is a straightforward substitution problem.
Substitution To find the value, we substitute x = 3 into the expression 2 + 5 x . This gives us 2 + 5 ( 3 ) .
Multiplication Now we perform the multiplication: 5 ( 3 ) = 15 . So the expression becomes 2 + 15 .
Addition Finally, we perform the addition: 2 + 15 = 17 . Therefore, the value of the expression 2 + 5 x when x = 3 is 17.
Final Answer The value of 2 + 5 x when x = 3 is 17 .
Examples
Imagine you're buying concert tickets. The base price is $2, and each additional feature (like early access or a signed poster) costs $5. If you choose 3 additional features, the total cost is calculated as $2 + 5 \times 3 = $17. This simple algebraic expression helps you quickly determine the total cost based on the number of features you select. Understanding how to substitute values into expressions is useful in everyday budgeting and financial planning.
