Question

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

Answer 1

To simplify the expression \(5(x - 1) - 6\), let's distribute and combine like terms.

1. Distribute \(5\) to both \(x\) and \(-1\):
\[
5(x - 1) = 5x - 5
\]

2. Now, substitute this back into the original expression:
\[
5(x - 1) - 6 = 5x - 5 - 6
\]

3. Combine the constants \(-5\) and \(-6\):
\[
-5 - 6 = -11
\]

Thus, the expression simplifies to:
\[
5x - 11
\]

The equivalent expression to \(5(x - 1) - 6\) is:
\[
\boxed{5x - 11}
\]