Solving Linear Inequalities
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Objective
I can solve one-step and two-step linear inequalities and represent the solutions on a number line.
Part 1 of 4
Warm-up video
Kayla Jones · 5:29
We don't generate video — this one is by Kayla Jones 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 4
Key concepts
3 concepts
- 1
When solving inequalities, you can temporarily replace the inequality sign with an equal sign to find the boundary point.
- 2
After finding the boundary point, draw a number line and use an open or closed dot to represent whether the boundary point is included in the solution.
- 3
To determine which direction to draw the line on the number line, test a point that is not the boundary point in the original inequality; if the statement is true, shade towards the test point, and if it is false, shade away from the test point.
Part 3 of 4
Practice
10 questions
What is a boundary point in the context of solving inequalities?
Explain the difference between using an open dot versus a closed dot on a number line when representing inequalities.
Part 4 of 4
Exit ticket
Quick comprehension check
“Solve the inequality: -2x + 4 > 8. Show your work, represent the solution on a number line, and write the final inequality.”
Sample answer included in the free materials
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Teacher guide, student handout, and slides — free, in Google Docs format
Teacher Guide
Complete lesson plan with answer keys and alternate activities
Student Handout
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