Identify Linear Functions (Graphs)

What this worksheet covers

Identify Linear Functions (Graphs) is a free printable math worksheet for grade 8 learners working at a advanced level. It belongs to the Algebra Worksheets unit and is aligned to Common Core standard CCSS.MATH.8.EE.B.7. Students complete it in roughly fifteen to twenty-five minutes depending on pace, then check their work against the matching answer key.

The worksheet is designed to be self-contained: a homeschool parent can hand it to a grade 8 learner without a separate lesson plan, and a tutor can drop it into a session as warm-up, mid-block practice, or an exit ticket. Because every printable on PrintableNest comes with both a teacher cheat sheet and a printable answer key, you can grade it in under a minute and document standards coverage for your homeschool portfolio.

Learning objectives

By the time a grade 8 student finishes this printable, they should be able to:

• Apply the Algebra Worksheets procedure accurately on grade-appropriate problems
• Identify which strategy fits a given problem before computing
• Self-check answers against an expected magnitude or unit
• Explain the reasoning behind each step in plain language

Common Core / standards alignment

This worksheet maps to CCSS.MATH.8.EE.B.7. If your homeschool tracks standards in a portfolio, log the time-on-task and the score from the answer key against that code. The grade band (6–8) is intentional: the cognitive load is calibrated to what a typical grade 8 student should be able to attempt independently after one short modeled example.

Tip from the editorial team: keep a single sheet of grid paper next to every printed worksheet. It removes friction when a student wants to re-show their work, and it doubles as a place to capture the questions that came up during the lesson.

Suggested classroom or home use

For a homeschool morning basket, print the worksheet the night before and leave it next to a freshly sharpened pencil. Most grade 8 students will work through it independently while you finish breakfast or sit with a younger sibling. For a co-op or small classroom, run the printable as a five-minute warm-up before a longer lesson on the same standard, then revisit two of the trickiest items as a whole-group debrief.

One pattern we recommend: print two copies. The student fills one out today; tomorrow morning, hand them the second copy and time them. The improvement is usually visible inside a single sitting and gives the learner a small, concrete win — exactly the kind of momentum that keeps homeschool routines going through the long winter months.

Teacher tips

• Read one example aloud together before the student begins; do not pre-solve more than one item.
• If the student misses more than half, do not re-explain — switch to a hands-on manipulative for ten minutes and try again the next day.
• Mark wrong answers with a small dot, not an X. Ask the learner to try again before you grade for real.
• Save completed sheets in a single binder organized by Common Core code; it becomes your end-of-year evidence file.

Print & download notes

Use the Download & print PDF button at the top of this page. The worksheet is one US-letter page, formatted for black-and-white printing so it works on every home printer. The companion answer key is on its own page so you can print it separately or email it to a co-tutor.