Algebra
Grouping / Order of Operations


      Okay, this isn't really a game.  These are just algebra problems.  But if you do them with another person it can be a fun exercise (assuming that you both like solving algebra equations).

      Remember when you had to learn the Order of Operations in algebra class?  If not, then you will probably not like this game.  Anyway, the goal here is to write an algebra problem including the solution.  The problem should include as many numbers as you want (most of the problems below use five different numbers), and a variety of operations (addition, subtraction, multiplication and division).  You should also include one or more sets of parentheses to group the operations in various ways.

Review the Order of Operations.


      The fun part (again, assuming you actually enjoy this stuff...) begins when you send the entire equation, including the answer, to your game partner but without the parentheses.  Then, it is up to him or her to figure out how to group the numbers and operations.  Below is an example of a problem and its solution.  Remember, the solution is simply the problem with parentheses added to make the equation true.

Sample problem:       1 + 2 × 3 ÷ 4 - 5 = -5

Solution:       1 + ( 2 × ( 3 ÷ ( 4 - 5 ) ) ) = -5



      The problems below are shown without the groupings.  Your job is to figure out how to group them in order to make the equation true.  In case you need any help, the link to the answer page is below.


Problems:

½ ÷ ½ + ½ - ½ × ½ = 2


3 ÷ 4 - 16 ÷ 4 - 3 = 1


2 + 4 - 6 × 8 - 10 = 18


Here's a tough one that's twice the size of the previous three:
(This one is for serious extra credit!)


10 ÷ 2 × 4 - 9 ÷ 3 × 4 + 2 + 6 - 4 × 2 = 0


View the solutions to the above problems.


      I hope you enjoy this game and the chance to review, and sharpen, your algebra skills.  If you would like to comment on this game please feel free to e-mail me.



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