(x+y)+(y-z) is read as "the product of the sum of x and z and the difference of y and z True or false 

The given expression, \((x + y) + (y - z)\), is **not** read as "the product of the sum of \(x\) and \(z\) and the difference of \(y\) and \(z\)."

Here's why:

- **Product** refers to multiplication, but in the expression \((x + y) + (y - z)\), there is no multiplication. Instead, the operation is addition of two quantities: \((x + y)\) and \((y - z)\).
- The phrase "sum of \(x\) and \(z\)" suggests \(x + z\), but in the expression, we see \(x + y\) instead.
- The phrase "difference of \(y\) and \(z\)" refers to \(y - z\), which is indeed present, but this is added to the sum of \(x + y\), not multiplied.

Therefore, the statement is **false**.

Would you like further clarification?

Here are five related questions:
1. How do you correctly describe the expression \((x + y) + (y - z)\)?
2. What is the difference between addition and multiplication in algebraic expressions?
3. How would the expression look if it involved a product instead of a sum?
4. Can you simplify the expression \((x + y) + (y - z)\)?
5. What is the proper terminology for describing sums and differences in algebra?

**Tip:** When you see the word "product," it always indicates multiplication in mathematics!

The query submitted by the user: (x+y)+(y-z) is read as 'the product of the sum of x and z and the difference of y and z. True or false?'

Find out if the expression (x + y) + (y - z) represents the product of the sum of x and z and the difference of y and z. This problem covers algebraic concepts like addition and subtraction, along with key properties such as the associative property of addition. Suitable for Grades 6-8 students.

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