Question

Which of the following options is not an equation among the given choices?

1. 3+1 = 4+0
2. x-2x = 8
3. 2(4x+1)
4. 1+3=6

Answer 1

Option 3 (2(4x+1)) is not an equation because it does not include an equal sign; it is merely an expression.

Step-by-step explanation:

To answer the question of which option is not an equation among the given choices, let's review each one:

1. 3+1 = 4+0 is an equation because it has an equal sign and shows that two expressions are equal.
2. x-2x = 8 is also an equation although it simplifies to -x = 8, which indicates that one expression equals another.
3. Option 3. 2(4x+1) is not an equation because it lacks an equal sign. It is an expression. To be an equation, it needs to be set equal to something, such as 2(4x+1) = 0.
4. 1+3=6 is incorrect mathematically, but it is still structured as an equation because it has an equal sign.

Therefore, the answer to the student's question is option 3: 2(4x+1), as it is the only choice that does not have an equal sign, and so is not an equation.