These activity sheets teach your students how to solve for variables using the division principle.

What is the Division Principle? It is the reason that you can use to solve any division related problem. For example, suppose, you have distributed 100 cookies among the group of children equally. Each child took 4 cookies. Find out the total number of children. We will divide the count of each item by the number of times you have counted them to get the answer for number of items. It can only happen when you count each item with the same number of time duration. For example, suppose, we have graph’s total degree that is 58. So here, we will have to find the total number of edges. We will count each edge two times while counting the degrees. For instance, 58/2 = 29 that are the edges in the graph you have plotted. Further Counting Problems with Division Principle More counting problems including division principle are as follows: 12 players are ready to play with NBA basketball team. We may have 2 options; 1) The tricks of coach for choosing first five players to start the game. There is no value of specific position. 2) The trick by which coach choose a single center, two forwards, and two guards. Here the position matters. Another problem is how many 5-card poker do you need to deal from a standard 52-card deck?

This is where we start to touch on the algebraic concept of how to find an unknown variable in an equation. It really comes down to your students ability to identify what operations are taking place in the equation and how do you counter those operations. I always start by explaining the concept of complementary operations on these worksheets we will examine the complement of multiplication and division. These worksheets explain how to solve for variables using the division principle. Instructors, please note that answers may be in the form of fractions or whole numbers.



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Division Principle Worksheets

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Division Principle Lesson

One method, to solve an equation and to find out a value for given variable would be, to separate the variable from the numbers. We move or keep the unknown on the left-hand side (LHS) of the equation and the known values on the righthand side (RHS) of the equation. To do so, we need to perform some operations on both sides of the equation.

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Lesson and Practice

Separate the unknown from known values. Place 3x at LHS of the equation. Here, 2 is in division term with 3x at LHS; Cross multiply it with RH, it will be changed into multiplication term.

Worksheet

Students will use the division principle to solve for variables. Ten problems are provided.

Practice

Over this series of exercises you will find the value of the variable. Ten problems are provided.

Drill

Students develop skill in solving for variables using the division principle. Eight problems are provided.

Warm Up

This is a great way to introduce or review the skills and concepts that we examine in this topic. Three problems are provided.