8.EE.C.7.a Tutor Intake -- Classifying Linear Equations by Solution Type

$x = a$ (one solution), $a = a$ (infinitely many solutions), $a = b$ where $a \neq b$ (no solution)

$x = a$ (one solution), $x = 0$ (no solution), $x = \infty$ (infinitely many solutions)

$x = a$ (always one solution, regardless of what the equation simplifies to)

$a = a$ (one solution), $a = b$ (infinitely many solutions), $x = a$ (no solution)

Every real number is a solution — the equation is an identity, true no matter what value of $x$ is substituted.

$x = 0$ is the solution, since that's the number that appeared.

There is no solution, since the variable disappeared entirely.

There are exactly two solutions, one for each "0" in the statement.

No mistake was made — reaching a false statement like $6 = 2$ means the original equation has no solution.

They should keep re-solving until they get a true statement, since a correct solving process always ends in a true statement.

The answer is $x = 6 - 2 = 4$.

The answer is $x = 2/6$.