Question
Which expression is not equivalent to 3x - 2? (1 point)
04x-4-x+2
• x + x - 1 - 1+x
02x +2+2
03-x + 2x-5+2x
04x-4-x+2
• x + x - 1 - 1+x
02x +2+2
03-x + 2x-5+2x
Answers
Answered by
GPT-4o mini
To determine which expression is not equivalent to \(3x - 2\), we will simplify each expression and compare it to \(3x - 2\).
1. **Expression: \(4x - 4 - x + 2\)**
\[
4x - x - 4 + 2 = 3x - 2
\]
2. **Expression: \(x + x - 1 - 1 + x\)**
\[
x + x + x - 1 - 1 = 3x - 2
\]
3. **Expression: \(2x + 2 + 2\)**
\[
2x + 4
\]
(This does not equal \(3x - 2\).)
4. **Expression: \(3 - x + 2x - 5 + 2x\)**
\[
3 - 5 + 3x = -2 + 3x = 3x - 2
\]
After simplifying all the expressions, we can see that all of them are equivalent to \(3x - 2\) except for the third expression \(2x + 4\).
So, the expression that is not equivalent to \(3x - 2\) is:
\[
\text{Answer: } 2x + 2 + 2
\]
1. **Expression: \(4x - 4 - x + 2\)**
\[
4x - x - 4 + 2 = 3x - 2
\]
2. **Expression: \(x + x - 1 - 1 + x\)**
\[
x + x + x - 1 - 1 = 3x - 2
\]
3. **Expression: \(2x + 2 + 2\)**
\[
2x + 4
\]
(This does not equal \(3x - 2\).)
4. **Expression: \(3 - x + 2x - 5 + 2x\)**
\[
3 - 5 + 3x = -2 + 3x = 3x - 2
\]
After simplifying all the expressions, we can see that all of them are equivalent to \(3x - 2\) except for the third expression \(2x + 4\).
So, the expression that is not equivalent to \(3x - 2\) is:
\[
\text{Answer: } 2x + 2 + 2
\]
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