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Grade 9Algebraic ThinkingOriginal practice

Compare Linear and Exponential Models: Explore and Explain Worksheet — Grade 9

Compare Linear and Exponential Models: Explore and Explain: Translate additive and multiplicative changes into function rules. Starts with 2 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 10 minutes · Pencil · Algebra 1

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

Sheet 0B7E2708 · questions and answers share this ID

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

Use the prerequisite representations before moving to independent work.

How to use this worksheet

  1. Begin with: Write L(n).
  2. Connect the response to: Calculate L(4) and E(4).
  3. Ask students to apply the idea: Explain how consecutive differences in L and consecutive ratios in E identify their structures.

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 Compare Linear and Exponential Models: Practice Independently.

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 9
Key

Compare Linear and Exponential Models: Practice Independently

Practice · Independent · 15 min

Translate additive and multiplicative changes into function rules. Evaluate and compare models with a stated domain. Explain model structure and limits on real-world prediction. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.

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Practice preview
Grade 9
Key

Factor Solve and Check Quadratics: Apply and Create

Apply · Independent · 20 min

Connect factors to sum and product. Solve selected quadratics and check every root. Interpret quadratic models with zero-product and domain conditions. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.

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