Question

These tiles represent the expression 3x+2(
–
5x+1).
x
x
x
-x
-x
-x
-x
-x
1
-x
-x
-x
-x
-x
1
Which expression is equivalent to 3x+2(
–
5x+1)?

Answer 1

To find an equivalent expression for \( 3x + 2(-5x + 1) \), we will distribute \( 2 \) to both terms inside the parentheses.

1. **Distribute \( 2 \)** to \(-5x\) and \(1\):

\[
2 \cdot (-5x) + 2 \cdot 1 = -10x + 2
\]

2. **Combine the results** with the \(3x\):

\[
3x + (-10x + 2) = 3x - 10x + 2
\]

3. **Combine like terms**:

\[
(3x - 10x) + 2 = -7x + 2
\]

Thus, the expression equivalent to \( 3x + 2(-5x + 1) \) is

\[
\boxed{-7x + 2}
\]