What is the result of simplifying 6z + 4 - z?

What is the result of simplifying 6z + 4 - z?

• A. 5z + 4
• B. 7z + 4
• C. 6z + 4
• D. 4z + 6

Answer: (A)

To simplify the expression 6z + 4 - z, the key step is to combine like terms. In this expression, the like terms are the terms that contain the variable z. Start with the terms with z: - You have 6z from the first part of the expression. - There is also -z, which can be thought of as -1z. When you combine these, you add the coefficients together: 6z - z = 6z - 1z = (6 - 1)z = 5z. Now, don't forget the constant term, which is +4. It remains unchanged since it does not have any like terms to combine with. So the simplified expression is 5z + 4. This approach illustrates the process of identifying and combining the coefficients of like terms, leading to the correct final expression.

To simplify the expression 6z + 4 - z, the key step is to combine like terms. In this expression, the like terms are the terms that contain the variable z.

Start with the terms with z:

• You have 6z from the first part of the expression.

• There is also -z, which can be thought of as -1z.

When you combine these, you add the coefficients together:

6z - z = 6z - 1z = (6 - 1)z = 5z.

Now, don't forget the constant term, which is +4. It remains unchanged since it does not have any like terms to combine with.

So the simplified expression is 5z + 4.

This approach illustrates the process of identifying and combining the coefficients of like terms, leading to the correct final expression.