Question

These tiles represent the expression 4(
–
x–2).
-x
-1
-1
-x
-1
-1
-x
-1
-1
-x
-1
-1
Which expression is equivalent to 4(
–
x–2)?

Answer 1

To simplify the expression \( 4(-x - 2) \), we'll distribute the 4 across the terms inside the parentheses.

Here are the steps:

1. Start with the expression:
\[
4(-x - 2)
\]

2. Distribute the 4:
\[
4 \cdot (-x) + 4 \cdot (-2) = -4x - 8
\]

So the expression \( 4(-x - 2) \) is equivalent to:
\[
-4x - 8
\]