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Study Guides > Prealgebra

Introduction to Solving Equations Using the Division and Multiplication Properties of Equality

A platter of various sliced meats, cheeses, and bread on a table with a candle in the middle of it, and a wine glass and silverware nearby. A dinner with friends often ends with a math problem.
While out for dinner with your friends, you decide to share a few appetizers. At the end of the meal, you want to split the bill evenly among the four of you. How much should each person pay? In this chapter, you'll learn how to solve equations using the Division and Multiplication Properties of Equality so you and your friends can accurately divide the bill.  

Learning Outcomes

By the end of this section, you will be able to:
  • Solve equations using the Division and Multiplication Properties of Equality
  • Solve equations that need to be simplified
  • Solve equations with fraction coefficients
  Before you get started in this module, try a few practice problems and review prior concepts.

Readiness quiz

1) If you missed these problems, review the following video. https://youtu.be/IM991IqCi44 3) If you missed this problem, review this video: https://youtu.be/9AtYeBKP7RI 5) If you missed this problem, review this video: https://youtu.be/JFAwf01nPG8

Licenses & Attributions

CC licensed content, Original

  • Question ID 141840, 141842, 141843. Provided by: Lumen Learning License: CC BY: Attribution. License terms: IMathAS Community License, CC-BY + GPL.

CC licensed content, Shared previously

  • Ex: Substitute and Evaluate Basic Expressions x+2, 2x, x^2, 2^x . Authored by: James Sousa (Mathispower4u.com). License: CC BY: Attribution.
  • Ex: Determine the Reciprocal of Integers, Fractions, and Mixed Numbers. Authored by: James Sousa (Mathispower4u.com). License: CC BY: Attribution.
  • Bread, meat, cheese, wine. Authored by: winecountrymedia at www.napavalley.com. Located at: https://www.flickr.com/photos/winecountrymedia/23332463371/. License: CC BY: Attribution.

CC licensed content, Specific attribution