Question

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

Answer 1

Can you pick one more?

Answer 2

Can you explain how both answers are not equivalent?

Answer 3

Can you add one more that’s not equivalent and explain

Answer 4

2(x + 1) - 5x + 4 is not equivalent to 2x + 2 - 5x + 7 - 3.

Answer 5

Certainly! Another expression that is not equivalent to 2x + 2 - 5x + 7 - 3 is 3x - 6.

Answer 6

Certainly! Let's simplify the expression 2x + 2 - 5x + 7 - 3 step by step:

First, combine like terms: 2x and -5x can be combined to give -3x.
The expression becomes: -3x + 2 + 7 - 3.

Next, combine the numbers: 2, 7, and -3 can be combined to give 6.
The expression becomes: -3x + 6 - 3.

Finally, simplify further: 6 - 3 is equal to 3.
The simplified expression is: -3x + 3.

Now let's compare this simplified expression to the given options:
- -3x + 11 - 5x: This expression has a different constant term (11 instead of 3). Therefore, it is not equivalent.
- -3x + 6: This expression has the same constant term (6) but a different variable term. It is not equivalent.
- 3x - 6: This expression has different variable terms (-3x instead of -3x) and a different constant term (-6 instead of 3). Therefore, it is not equivalent.

Therefore, the expressions -3x + 11 - 5x and 3x - 6 are not equivalent to 2x + 2 - 5x + 7 - 3.

Answer 7

Certainly! Another expression that is not equivalent to 2x + 2 - 5x + 7 - 3 is 2x + 11 - 5x.

Let's simplify the original expression first:
2x + 2 - 5x + 7 - 3 can be rewritten as -3x + 6.

Now let's simplify 2x + 11 - 5x:
Combine like terms: 2x and -5x can be combined to give -3x.
The expression becomes: -3x + 11.

Comparing -3x + 6 to -3x + 11, we can see that the constant terms are different (6 and 11). Therefore, the expression 2x + 11 - 5x is not equivalent to 2x + 2 - 5x + 7 - 3.