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Algebra 1 3-3 Guided Practice: Solving Inequalities Using Multiplication or Division

By Matt Richardson
Last updated almost 3 years ago
14 Questions

Solve It! Drag the appropriate inequality sign to fill in each blank.

  • >
  • <
  • (4)(3) ___ (1)(3)
  • (4)(2) ___ (1)(2)
  • (4)(1) ___ (1)(1)

Solve It! Drag the appropriate inequality sign to fill in each blank.

  • <
  • >
  • (4)(-1) ___ (1)(-1)
  • (4)(-2) ___ (1)(-2)
  • (4)(-3) ___ (1)(-3)

Solve It! Consider the previous item. What happens to the inequality symbol when you multiply each side of an inequality by a positive number? A negative number? Justify your reasoning.

Take Note: Summarize the Multiplication Property of Inequality. Be sure to indicate how it works differently for positive and negative numbers.

Problem 1 Got It? What are the solutions of the inequality?

Problem 1 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

Problem 2 Got It? What are the solutions of the inequality?

Problem 2 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

Take Note: Summarize the Division Property of Inequality. Be sure to indicate how it works differently for positive and negative numbers.

Problem 3 Got It? A student club plans to buy food for a soup kitchen.


A case of vegetables costs $10.68. The club can spend at most $50 for this project. What are the possible numbers of cases the club can buy? Categorize each number of cases.

  • 1 case
  • 2 cases
  • 3 cases
  • 4 cases
  • 5 cases
  • 6 cases
  • 7 cases
  • The club can afford:
  • The club can not afford:

Problem 3 Got It? Reasoning: In Problem 3, why do you round to the greater whole number?

Problem 4 Got It? What are the solutions of the inequality?

Problem 4 Got It? Graph the solutions of the inequality.
Include all relevant graph detail.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?