Solving Inequalities

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Objective

I can solve one- and two-step inequalities and represent the solutions on a number line.

Part 1 of 4

Warm-up video

Mathispower4u · 7:49

We don't generate video — this one is by Mathispower4u 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. 1

    When solving inequalities, if you multiply or divide by a negative number, you must reverse the inequality symbol.

  2. 2

    The solution to an inequality can be expressed as an inequality, a graph on a number line, and using interval notation.

  3. 3

    When using interval notation, we use a square bracket if the value is included in the interval and a rounded parenthesis if the value is not included in the interval.

Part 3 of 4

Practice

12 questions

1

Solve the inequality: x + 5 < 8. Express the solution as an inequality.

2

Solve for x: 2x - 3 ≥ 7. Express the solution as an inequality.

Part 4 of 4

Exit ticket

Quick comprehension check

Solve the inequality and represent the solution on a number line: -3x + 6 ≤ 12. Show all your work.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

  • Student Handout

    Printable worksheet

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