Solving Multi-Step Inequalities

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Objective

I can solve multi-step inequalities with variables on both sides by isolating the variable and simplifying both sides of the inequality.

Part 1 of 3

Warm-up video

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We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

7 questions

1

Solve the inequality: 5x + 7 > 3(x + 1). Show all steps in your solution.

2

Explain how to isolate the variable in the inequality 4(2x - 1) ≤ 3x + 8. What steps do you take to simplify both sides, and what do you do if you need to multiply or divide by a negative number?

Part 3 of 3

Exit ticket

Quick comprehension check

Solve the inequality 4x - 3 < 2(3x + 2) + 4. Show all steps in your solution. Solve the inequality 10 - 2(4x - 1) ≥ 6x + 12. Show all steps in your solution.

Sample answer included in the free materials

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Solving Multi-step Inequalities Lesson Plan for Grade 8 | Free Math Lesson