Question

These tiles represent the expression 2(
–
5x–6).
-x
-x
-x
-x
-x
-1
-1
-1
-1
-1
-1
-x
-x
-x
-x
-x
-1
-1
-1
-1
-1
-1
Which expression is equivalent to 2(
–
5x–6)?

Answer 1

To simplify the expression \( 2(-5x - 6) \), we can use the distributive property, which states that \( a(b + c) = ab + ac \).

Applying this to the expression:

\[
2(-5x - 6) = 2 \cdot (-5x) + 2 \cdot (-6)
\]

Calculating each term separately:

1. \( 2 \cdot (-5x) = -10x \)
2. \( 2 \cdot (-6) = -12 \)

Now combine these results:

\[
2(-5x - 6) = -10x - 12
\]

Thus, the expression equivalent to \( 2(-5x - 6) \) is:

\[
-10x - 12
\]