Evaluate the expression for q = –45.

2(q − 2) =

Let's evaluate the expression \( 2(q - 2) \) for \( q = -45 \).

Substituting \( q = -45 \) into the expression:

\[
2(-45 - 2)
\]

Simplify inside the parentheses:

\[
2(-47)
\]

Now, multiply:

\[
-94
\]

So, the expression evaluates to \(-94\) when \( q = -45 \).

Would you like more details or have any questions?

Here are some related questions:

1. How would the expression change if \( q = 10 \)?
2. What is the general form of the expression \( 2(q - a) \) where \( a \) is any number?
3. How can we verify the result using distributive property?
4. What if the expression was \( 3(q - 2) \) instead?
5. How does changing the coefficient (e.g., 2 to 5) affect the result?

**Tip:** Always perform operations inside parentheses first before multiplying to simplify expressions correctly.

Solve the algebraic expression 2(q - 2) for q = -45 using substitution and simplification. Learn key concepts like the distributive property and simplifying linear expressions. Suitable for middle school students in Grades 6-8.

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