Solving Simple Equations with Multiplication and Division

We decided as a class to revise the three principles for solving equations and turn it into the FOUR Principles for Solving Equations. The third step was devised by a present seventh grader and makes lots of sense.

The Principles are:

1. Isolate the variable
2. Use Opposite Operations
3. Respect the Mirror
4. Balance the Equation

For example:

x - 6 = 21

Principle 1: determine that the variable in question is x and decide how you are going to isolate it.

Principle 2: use the opposite of subtraction, which is addition, to remove the 6, thereby isolating the x.

x - 6 = 21
+6 = +6
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x = 27

Principle 3: Respect the mirror, which compares the equals sign to a mirror and reminds us to make sure anything that is done to one side of the equation is reflected on the other side of the equation as well. This is why 6 was added to both sides.

Principle 4: Balance the equation. Plug your solution back into the equation and see whether the values are equal on both sides.

x - 6 = 21
27 - 6 = 21 BALANCED!

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Parents, forms for after school tutoring are now available and the seats will be filled on a first- come, first-served basis. Ask your child for the form if they have not shown it to you.

Also, Test #2 of the 1st term was returned to students today.

Home Nugget #19
Assigned on Wednesday October 4, 2006
Due Thursday October 5, 2006
Practice Sheet from page 132 Following Numbers
15 - 26
33 - 38
43 - 47
All work should be done on a seperate sheet of paper with all work shown

Focus Correction Areas
3 points: show all work and solutions clearly
1 point: one random problem will be checked for accuracy