Question

These tiles represent the expression 3(
–
x+2).
-x
1
1
-x
1
1
-x
1
1
Which expression is equivalent to 3(
–
x+2)?

Answer 1

To simplify the expression \( 3(-x + 2) \), you need to distribute the \( 3 \) across the terms inside the parentheses:

\[
3(-x + 2) = 3 \cdot (-x) + 3 \cdot 2
\]

Calculating each part:

1. \( 3 \cdot (-x) = -3x \)
2. \( 3 \cdot 2 = 6 \)

Putting it all together gives:

\[
3(-x + 2) = -3x + 6
\]

So the expression equivalent to \( 3(-x + 2) \) is:

\[
-3x + 6
\]