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)- 52
x + 2
The expressions that are not equivalent to 2x + 2 - 5x + 7 - 3 are:
-3x + 6
2(x + 1)- 52
Consider the expression given below:
18 (16x − 32 + 43y)
Using the distributive property, the equivalent expression for it will be
288x - 576 + 774y
To determine which expressions are not equivalent to the expression 2x + 2 - 5x + 7 - 3, we can simplify each option and compare it to the original expression.
1) Simplifying 2x + 11 - 5x:
Combine the like terms (2x and -5x) by subtracting 5x from 2x: 2x - 5x = -3x
Therefore, the expression 2x + 11 - 5x is equivalent to -3x + 11.
2) Simplifying -3x + 6:
There are no further simplifications possible.
Therefore, the expression -3x + 6 is already in its simplest form and equivalent to the original expression.
3) Simplifying 3x - 6:
There are no further simplifications possible.
Therefore, the expression 3x - 6 is already in its simplest form and equivalent to the original expression.
4) Simplifying 2(x + 1) - 5x + 4:
First, distribute the 2 to the terms inside the parentheses: 2x + 2 - 5x + 4
Combine the like terms (-5x and 2x) by subtracting 5x from 2x: 2x - 5x = -3x
Combine the constants (2 and 4) by adding them: 2 + 4 = 6
The simplified expression is -3x + 6, which is equivalent to the original expression.
5) Simplifying 2(x + 1) - 52:
First, distribute the 2 to the terms inside the parentheses: 2x + 2 - 52
Combine the constants (2 and -52) by subtracting them: 2 - 52 = -50
The simplified expression is 2x - 50, which is different from the original expression.
Therefore, the expression 2(x + 1) - 52 is not equivalent to the original expression 2x + 2 - 5x + 7 - 3.