Writing a Mathematical Expression: Difference of y and 32, Plus the Product of y and 4
As an excellent high school mathematics teacher, I'm excited to share with you a step-by-step approach to writing a mathematical expression that represents the difference of y and 32, plus the product of y and 4.
Understanding the Problem
The key elements of this expression are:
- The difference of y and 32
- The product of y and 4
- Adding the two together
To write this expression, we need to understand the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
Step 1: Represent the Difference of y and 32
The difference of y and 32 can be written as y - 32.
Step 2: Represent the Product of y and 4
The product of y and 4 can be written as y * 4.
Step 3: Combine the Two Parts
To combine the difference of y and 32 with the product of y and 4, we simply need to add them together. The complete expression can be written as:
(y - 32) + (y * 4)
This expression represents the difference of y and 32, plus the product of y and 4.
Simplifying the Expression
If desired, we can simplify the expression further by combining the like terms:
(y - 32) + (y * 4) = y - 32 + 4y = 5y - 32
Now, the simplified expression represents the same mathematical concept, but in a more concise form.
Conclusion
Writing mathematical expressions can be a valuable skill for high school students, as it helps them develop their problem-solving abilities and understanding of algebraic concepts. By following the steps outlined in this article, you can confidently write expressions that represent complex mathematical relationships, such as the difference of y and 32, plus the product of y and 4.