Back to Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions — Problem 1 · Task Set 27

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

This short check helps your tutor see where to start. Work each problem on
your own, without a calculator. If you are not sure, give your best try —
every answer helps your tutor plan your first few sessions.

Grade 8·8 problems·~9 min·Common Core Math - Grade 8·standard·8-ee-c-7a

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Concepts

When solving a linear equation in one variable, simplification
always ends in one of three terminal forms. Which set correctly
lists all three?

$x = a$ (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)