Solving One-Variable Inequalities

Grade 645 min

aligned to 7.ee.b.4.a - Solve Word Problems Leading To Inequalities Of The Form Px + Q > R Or Px + Q < R, Where P, Q, And R Are Specific Rational Numbers.

Learning Objective

I can find the solution to one-variable inequalities and explain my answer with words, a graph, and an inequality symbol.

Lesson Flow

Watch Video

5 min

How to Solve One-Step Inequalities | Math with Mr. J

Unknown Channel

Practice

14 min

7 questions • Short answer

Exit Ticket

5 min

Sarah wants to buy some candy. Each candy costs $4. Sarah has $20. Write an inequality to represent the number of candies (x) Sarah can buy. Solve the inequality 4x ≤ 20. Explain your solution in words and using an inequality symbol. A plant is already 3 inches tall, and it will grow 1 inch each week. Ben wants the plant to be at least 10 inches tall. Write an inequality to represent the number of weeks (w) Ben needs to wait. Solve the inequality w + 3 ≥ 10. Explain your solution in words and using an inequality symbol. A store is offering a discount of $2 off every item. Lisa wants to buy a toy that originally costs more than $12 after the discount. Write an inequality to represent the original price (z) of the toy. Solve the inequality -2z > 12. Explain your solution in words and using an inequality symbol.

Teacher Guide

Get the complete package:

  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts