Which of the following expressions are not equivalent to the expression 2x + 2 - 5x + 7 - 3? Select all that apply.
The expression we start with is 2x + 2 - 5x + 7 - 3.
Let's simplify it:
First, combine like terms:
2x - 5x = -3x.
2 - 3 = -1.
So, our simplified expression is -3x - 1.
Now we can check the given expressions:
A) -1 - 3x
This expression is equivalent to our simplified expression -3x - 1, so it is equivalent to the original expression.
B) -3x -1
This expression is equivalent to our simplified expression -3x - 1, so it is equivalent to the original expression.
C) 4 - 8x
This expression is not equivalent to our simplified expression -3x - 1, so it is not equivalent to the original expression.
D) 2 - 7x
This expression is not equivalent to our simplified expression -3x - 1, so it is not equivalent to the original expression.
Therefore, the expressions that are not equivalent to 2x + 2 - 5x + 7 - 3 are C) 4 - 8x and D) 2 - 7x.
To determine which of the following expressions are not equivalent to the expression 2x + 2 - 5x + 7 - 3, we will simplify each expression and compare the results.
1. 5x - 9:
Simplifying the expression 5x - 9, we get 5x - 9, which is different from the original expression 2x + 2 - 5x + 7 - 3. Therefore, this expression is not equivalent.
2. 2 - 3 + 2x - 5x + 7:
Simplifying the expression 2 - 3 + 2x - 5x + 7, we combine like terms to get -3 - 3x + 9, which is different from the original expression 2x + 2 - 5x + 7 - 3. Therefore, this expression is not equivalent.
3. -3 + 7 + 2x + 2 - 5x:
Simplifying the expression -3 + 7 + 2x + 2 - 5x, we combine like terms to get 6 - 3x, which is different from the original expression 2x + 2 - 5x + 7 - 3. Therefore, this expression is not equivalent.
4. -3x + x + 12:
Simplifying the expression -3x + x + 12, we combine like terms to get -2x + 12, which is different from the original expression 2x + 2 - 5x + 7 - 3. Therefore, this expression is not equivalent.
In conclusion, the expressions 5x - 9, 2 - 3 + 2x - 5x + 7, -3 + 7 + 2x + 2 - 5x, and -3x + x + 12 are all not equivalent to the expression 2x + 2 - 5x + 7 - 3.