Exercises: Understand Graphs of Equations

Show all substitution work when verifying points. For graphing problems, generate a table of values before plotting.

Grade 9·23 problems·~30 min·Common Core Math - HS Algebra·standard·hsa-rei-d-10

Work through problems with immediate feedback

Fluency Practice

Determine whether each given point lies on the graph of the equation. Show your substitution.

Does the point $(3, 10)$ lie on the graph of $y = 2x + 4$ ?

Yes — substitute $x = 3$ : $2(3) + 4 = 10$ ✓

No — the graph only passes through the origin.

Yes — $3 + 10 = 13$ and $2 + 4 = 6$ , so they are close.

No — $3 \times 10 = 30$ , which is not equal to $2(3) + 4$ .