Evaluate $u+x y$, for $u=2, x=9$, and $y=6$.
Answer (1)
Substitute the given values into the expression: u + x y = 2 + ( 9 × 6 ) .
Calculate the product: 9 × 6 = 54 .
Add the result to u : 2 + 54 = 56 .
The final answer is 56 .
Explanation
Understanding the Problem We are asked to evaluate the expression u + x y given the values u = 2 , x = 9 , and y = 6 . This is a straightforward substitution and arithmetic problem.
Substituting the Values First, we substitute the given values into the expression: u + x y = 2 + ( 9 × 6 )
Performing Multiplication Next, we perform the multiplication: 9 × 6 = 54
Performing Addition Now, we add the result to u :
2 + 54 = 56
Final Answer Therefore, the value of the expression u + x y for u = 2 , x = 9 , and y = 6 is 56.
Examples
Understanding how to evaluate expressions is fundamental in many real-life situations. For instance, if you're calculating the total cost of items you're buying, where one item has a fixed price and another's price depends on the quantity you purchase, you're essentially evaluating an expression. If a delivery service charges a fixed fee of $2 and an additional $9 per mile, calculating the total cost for a 6-mile delivery involves evaluating the expression 2 + ( 9 × 6 ) .
