Write the sentence as an equation.26 equals 284 more than zType a slash ( / ) if you want to use a division sign.

1. ### Break Down the Problem

The sentence states that "26 equals 284 more than z." This can be broken down into the following components:

• $z$ is an unknown variable.
• "284 more than z" can be expressed as $z + 284$.
• The equation can be formed by setting 26 equal to this expression.

2. ### Relevant Concepts

We need to use basic algebra to represent the sentence in equation form:

• If "26 equals 284 more than z," it can be written as: $26 = z + 284$

3. ### Analysis and Detail

We now have the equation $26 = z + 284$. To isolate $z$, we will subtract 284 from both sides: $z + 284 - 284 = 26 - 284$ This simplifies to: $z = 26 - 284$ Calculating the right side: $z = -258$

4. ### Verify and Summarize

We can verify our solution by substituting $z = -258$ back into the original context:

• Check if $26$ indeed equals $284 + (-258)$: $284 - 258 = 26$ The calculation confirms that the equation holds true.

Final Answer

The sentence "26 equals 284 more than z" can be expressed as the equation: $26 = z + 284$ And solving for $z$ gives: $z = -258$