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Grade 8Algebraic ThinkingOriginal practice

Linear Systems and Plan Comparison Worksheet — Grade 8

Linear Systems and Plan Comparison: Model two linear relationships using the same variables. Starts with 8 practice tasks. Answer guidance included. Print on Letter/A4 or save as PDF from the print window.

Saved practices

3 distinct sets for the same goals and support level. Each set keeps its material and matching answers together. Choose “Save as PDF” in your browser’s print window to keep a copy.

Page layout

0 practice pages · 0 answer pages. Pages are added automatically when needed. Question content and answer keys stay together.

Continue this learning sequence

Unit goals and teaching guide →
  1. Complete practice
  2. 1. Explore
  3. 2. Practice
  4. 3. Apply

Independent activity · About 30 minutes · Pencil

Practice set 1 of 3. Each set keeps the same learning goal and task structures.

Sheet 0FE906C9 · questions and answers share this ID

About this practice

Grade 8 · 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

Use the prerequisite representations before moving to independent work.

How to use this worksheet

  1. Begin with: Find both costs at x = 0.
  2. Connect the response to: Solve the equality for x.
  3. Ask students to apply the idea: Draw both lines using at least two points each. Mark the intersection and label the axes.

A common mistake to discuss

Check the meaning of each quantity, the operation and the units; a numerical answer alone does not show the full reasoning.

What to practice next

Continue to Linear Systems and Plan Comparison: Apply and Create.

Original instructional material written for this practice.

Source reference: Common Core mathematics: selected grade or course targets.

Published 2026-10-08; updated 2026-10-08. Read our editorial policy.

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Practice preview
Grade 8
Key

Linear Systems and Plan Comparison: Apply and Create

Apply · Independent · 20 min

Model two linear relationships using the same variables. Find and interpret their intersection. Graph systems and distinguish one, zero and infinitely many solutions. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.

Choose another practice set
Practice preview
Grade 8
Key

Linear Systems and Plan Comparison: Practice Independently

Practice · Independent · 15 min

Model two linear relationships using the same variables. Find and interpret their intersection. Graph systems and distinguish one, zero and infinitely many solutions. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.

Choose another practice set