https://r2.erweima.ai/mathbot/image/17255573789120p166m54.jpg

The expression given in the image is:

\[
x^2 + x + 7
\]

You are asked to evaluate this expression when \(x = -3\).

Let's substitute \(x = -3\) into the expression:

\[
(-3)^2 + (-3) + 7
\]

Now, simplify step by step:

\[
9 - 3 + 7 = 9 + 4 = 13
\]

So, the value of the expression when \(x = -3\) is **13**.

Would you like further explanation or have any questions about this process?

Here are 5 related questions to explore further:

1. What would the value of the expression be if \(x = 2\)?
2. How would the expression change if we added a term \(x^3\)?
3. Can this expression be factored, and if so, how?
4. What is the derivative of the expression with respect to \(x\)?
5. How would the expression change if the constant term was \(7x\) instead of 7?

**Tip:** When evaluating expressions, always follow the order of operations—exponents first, followed by multiplication/division, and then addition/subtraction.

What is the value of the expression below when x = -3? x^2 + x + 7

Learn how to evaluate the quadratic expression x^2 + x + 7 when x = -3. This step-by-step guide simplifies the expression using basic algebra and arithmetic. Suitable for middle school students in Grades 6-8.

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