Unit 4: Linear Equations and Linear Systems


Khan Academy created these materials to enable personalized practice alongside the new Illustrative Mathematics curriculum. All of the materials have been reviewed for curriculum alignment by experts at Illustrative Mathematics and Khan Academy. To learn more about the IM 6–8 Math curriculum, visit www.illustrativemathematics.org/curriculum.

Unit 4A (Lessons 1-8): Solving Equations

Lesson 1: Number Puzzles


Lesson 2: Keeping the Equation Balanced


Lesson 3: Balanced Moves


Lesson 4: More Balanced Moves


Lesson 5: Solving Any Linear Equation


Lesson 6: Strategic Solving


Lesson 7: All, Some, or No Solutions


Lesson 8: How Many Solutions?


Unit 4A Test Review Resources

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Unit 4B (Lessons 9-13):

Systems of Linear Equations

Lesson 9: When Are They the Same?


Lesson 10: On or Off the Line?


Lesson 11: On Both of the Lines


Lesson 12: Systems of Equations


Lesson 13: Solving Systems of Equations


Lesson 17: Solving Inequalities

  • Lesson 17 Tutorial Video


Unit 4B Quiz and Test Review



Lessons 14-16 & 18: Supplemental Lessons that Cover Some Objectives Outside the Math 8 Curriculum

(such as using Substitution to Solve Systems of Linear Equations and Solving Systems of Linear Inequalities)

Lesson 14: Solving More Systems

Lesson 15: Writing Systems of Equations

Lesson 16: Solving Problems with Systems of Equations

Lesson 18: Solving Systems of Inequalities