Final answer:
To factor 1/2 out of the expression 1/2z + 9, identify the common factor (1/2), divide each term by 1/2 to get z and 18, and then write the factored expression as (1/2)(z + 18).
Step-by-step explanation:
To factor 1/2 out of the expression 1/2z + 9, follow these steps:
- Identify the terms within the expression that will be factored. In this case, the terms are 1/2z and 9.
- Take the common factor, which is 1/2, out of each term in the expression. This involves dividing each term by 1/2.
- When you divide 1/2z by 1/2, you get z, and dividing 9 by 1/2 (which is the same as multiplying by 2), you get 18.
- Write the factored expression, which combines the common factor with the simplified terms: (1/2)(z + 18).