Factoring Quadratics Worksheet: Roots 5 and 8 — Grade 9
Grade 9 factoring quadratics practice on roots 5 and 8. Five tasks with matching answers, teacher guidance, and Letter/A4 printing. Save as PDF from the print window.
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Page layout
0 practice pages · 0 answer pages. Pages are added automatically when needed. Question content and answer keys stay together.
Ready to teach
Ages 14-15 · About 30 minutes · Independent practice
- What students will do
- Factor a quadratic, find both roots, and verify a solution.
- Age and response support
- Read the short model first. Allow oral rehearsal, then request a calculation, text detail, or explicit criterion appropriate to the task.
- Before assigning
- Print student pages separately from answers. Read the scenario and model assumptions before assigning. No external account, equipment, or audio is needed.
- Materials
- Pencil
Continue this learning sequence
Factoring Quadratics Worksheets for Grade 9 →Independent activity · About 30 minutes · Pencil
About this practice
Grade 9 · Mathematics · Matching answer key included · US Letter and A4
Choose “Save as PDF” in your browser’s print window to keep a copy.
Teaching guide, sample answers and curriculum references
Before you begin
Read or listen to the model and identify what the task asks before responding.
How to use this worksheet
- Find the sum of the two positive root candidates.
- Find the larger root.
- Check the smaller root by substitution into x² − 13x + 40.
A common mistake to discuss
25 − 65 + 40 = 0.
What to practice next
Create a different example that preserves the learning goal, and explain how you would check it.
Published 2026-10-23; updated 2026-10-23. Read our editorial policy.
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