Conquer the College Math Placement Challenge 2025 – Step Up and Shine!

Question: 1 / 400

Solve for z in the equation 2z + 3 = 11. What is the value of z?

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To find the value of \( z \) in the equation \( 2z + 3 = 11 \), you can follow these steps:

1. Start by isolating the term with \( z \) on one side of the equation. To do that, subtract 3 from both sides:

\[

2z + 3 - 3 = 11 - 3

\]

This simplifies to:

\[

2z = 8

\]

2. Next, to solve for \( z \), divide both sides of the equation by 2:

\[

\frac{2z}{2} = \frac{8}{2}

\]

This simplifies to:

\[

z = 4

\]

Thus, the value of \( z \) is 4, confirming that the solution is consistent with the original equation when you substitute \( z \) back into it.

From this reasoning, it is clear that the answer is 4.

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