Distributing First vs. Adding First: Differences & Examples


Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

In an expression involving decimals, you should:

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1. How should you simplify the following expression: 3(7x + 2y)?

2. How should you simplify the following expression: 9x(1/4 + 7/8)?

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About This Quiz & Worksheet

There are several elements that contribute to the conclusion of distributing or adding first when simplifying algebraic expressions. This quiz/worksheet will help you assess your understanding of what those factors determine and let you put your knowledge to the test with practice problems.

Quiz & Worksheet Goals

In these assessments you'll be tested on:

  • Whether to distribute or add first (or do either first) in order to best simplify a variety of expressions

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Problem solving - use acquired knowledge to choose whether to distribute or add first when simplifying sample expressions
  • Distinguishing differences - compare and contrast expressions that call for distributing first and expressions in which adding first is probably easier
  • Knowledge application - use your knowledge to answer questions about simplifying different forms of algebraic expressions

Additional Learning

To learn more about distributing and adding first when simplifying algebraic expressions, review the accompanying lesson on Distributing First vs. Adding First. This lesson covers the following objectives:

  • Know the distributive property
  • Understand the factors that contribute to either distributing or adding first being a better method when simplifying expressions