Evaluate the expression $-9(y+10)$ when $y=12$.
Answer (2)
Substitute y = 12 into the expression: − 9 ( 12 + 10 ) .
Simplify the expression inside the parentheses: 12 + 10 = 22 , so the expression becomes − 9 ( 22 ) .
Multiply − 9 by 22 : − 9 × 22 = − 198 .
The final answer is − 198 .
Explanation
Understanding the problem We are asked to evaluate the expression − 9 ( y + 10 ) when y = 12 . This means we need to substitute 12 for y in the expression and simplify.
Substitution First, substitute y = 12 into the expression: − 9 ( 12 + 10 ) .
Simplifying parentheses Next, we simplify the expression inside the parentheses: 12 + 10 = 22 . So the expression becomes − 9 ( 22 ) .
Multiplication Now, we multiply − 9 by 22 : − 9 × 22 = − 198 .
Final Answer Therefore, the value of the expression − 9 ( y + 10 ) when y = 12 is − 198 .
Examples
Imagine you are planning a school trip and need to calculate the total cost. Each student needs to pay a fee, and there's a discount applied to the total. If the fee is represented by ( y + 10 ) and the discount is − 9 times the fee, substituting the number of students ( y = 12 ) into the expression − 9 ( y + 10 ) helps you quickly find the total cost after the discount. This kind of calculation is useful for budgeting and financial planning in various real-life scenarios.
When evaluating the expression − 9 ( y + 10 ) for y = 12 , we find that the value is − 198 . This is achieved by substituting 12 into the expression, simplifying, and performing the multiplication. Thus, the final answer is − 198 .
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