Which of the following expressions are not equivalent to the expression 2x + 2 - 5x + 7 - 3? Select all that apply.
(1 point)
Responses
2x + 11 - 5x
2x + 11 - 5x
-3x + 6
-3x + 6
3x - 6
3x - 6
2(x + 1)- 5x + 4
2(x + 1)- 5x + 4
2(x + 1)- 52x + 2
The expressions that are not equivalent to 2x + 2 - 5x + 7 - 3 are:
2(x + 1) - 52x + 2
To determine which expressions are not equivalent to 2x + 2 - 5x + 7 - 3, we can simplify each expression and compare it to the original expression.
Let's simplify each expression step by step:
1) 2x + 11 - 5x:
Combine like terms: (2x - 5x) = -3x
Final expression: -3x + 11
2) -3x + 6:
This expression is already simplified.
3) 3x - 6:
This expression is already simplified.
4) 2(x + 1)- 5x + 4:
Distribute 2 to (x + 1): 2x + 2 - 5x + 4
Combine like terms: (2x - 5x) = -3x, (2 + 4) = 6
Final expression: -3x + 6
5) 2(x + 1)- 52x + 2:
Distribute 2 to (x + 1): 2x + 2 - 52x + 2
Combine like terms: (2x - 52x) = -50x, (2 + 2) = 4
Final expression: -50x + 4
Comparing each simplified expression to 2x + 2 - 5x + 7 - 3:
-3x + 11 is not equivalent because the constant term is different (11 vs 7).
-50x + 4 is not equivalent because the coefficient of x is different (-50x vs -5x).
Therefore, the expressions that are not equivalent to 2x + 2 - 5x + 7 - 3 are:
-3x + 11 and -50x + 4.
To determine which of the given expressions are not equivalent to the expression 2x + 2 - 5x + 7 - 3, we can simplify each expression and compare the results.
First, simplify the expression 2x + 2 - 5x + 7 - 3:
Combine like terms: 2x - 5x = -3x
Combine constants: 2 - 3 + 7 = 6
So, the simplified version of the original expression is -3x + 6.
Now, let's simplify each given expression and check if they are equivalent to -3x + 6:
1) Simplifying 2x + 11 - 5x:
Combine like terms: 2x - 5x = -3x
Combine constants: 11
This expression is equivalent to -3x + 11, not -3x + 6.
2) Simplifying -3x + 6:
This expression is already simplified and equivalent to -3x + 6.
3) Simplifying 3x - 6:
This expression is not equivalent to -3x + 6.
4) Simplifying 2(x + 1) - 5x + 4:
Distribute 2 to x + 1: 2x + 2 - 5x + 4
Combine like terms: 2x - 5x = -3x
Combine constants: 2 + 4 = 6
This expression is equivalent to -3x + 6.
5) Simplifying 2(x + 1) - 52x + 2:
Distribute 2 to x + 1: 2x + 2 - 52x + 2
Combine like terms: 2x - 52x = -50x
Combine constants: 2 + 2 = 4
This expression is not equivalent to -3x + 6.
Based on the simplifications, the expressions that are not equivalent to 2x + 2 - 5x + 7 - 3 are:
-3x + 11
3x - 6
2(x + 1) - 52x + 2