Back to Explain intersection as solution — Problem 3 · Task Set 51

HSA.REI.D.11 Tutor Intake — Intersections as Solutions

This short check helps your tutor understand where to start. Answer each question without help. If you are not sure, give your best try — the goal is to find what to work on together, not to grade you.

Grade 9·7 problems·~11 min·Common Core Math - HS Algebra·standard·hsa-rei-d-11

Work through problems with immediate feedback

Concepts

To solve $3x - 2 = x^2 - 4$ graphically, a student graphs only $y = x^2 - 4$ .

What error did the student make?

The student should have graphed $y = 3x - 2 - x^2 + 4$ instead.

The student graphed only one curve. They need to also graph $y = 3x - 2$
and find where the two curves intersect.

The student should graph $y = x^2 - 4$ and find where it crosses the
$x$ -axis to find solutions.

No error — solving $x^2 - 4 = 0$ gives solutions to the original equation.