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Math Review - Solving Equations


Can you put the following steps in order?

 Check by substituting the variable with the solution / answer

 Divide or Multiply on both sides of the equal sign(Division or Multiplication Property)

 Combine Like Terms on both sides of the equal sign

 Distribute Coefficient(s) (Distributive Property)

 Add a positive or a negative on both sides of the equal sign(Addition Property)
* * * *




Steps in the Correct Order:

1. Distribute Coefficient(s)

2. Combine Like Terms on both sides of the equal sign

3. Add a positive or a negative on both sides of the equal sign

4. Divide or /multiply on both sides of the equal sign

5. Check by substituting the variable with the solution / answer



Do you know the purpose of each step?

1. Distribute Coefficient(s) (Distributive Property)
To eliminate parentheses

2. Combine Like Terms on both sides of the equal sign
To total like terms on both sides of the equal sign

3. Add a positive or a negative on both sides of the equal sign
To isolate the variable or variable term (for example X or 5X)

4. Divide or /multiply on both sides of the equal sign
To isolate the coefficient from the variable term if necessary

5. Check by substituting the variable with the solution / answer
To verify the solution balances the equation; if so, the check confirms the solution is correct.




Here are two mnemonics to remember the order of the steps to solve an equation?

Daily Calculating A's Doing Math Carefully
or
Daisy Chews Almonds Mooing Continuously

Let's Practice!
5m + 2(2m + 3) = -20 - m 4

Distribute

Results = => 5m + 4m + 6 = -20 m - 4

Combine
Results = => 9m + 6 = -24 - m

Add (+m) on both sides
Results = => 10m + 6 = -24

Add (-6) on both sides
Results = => 10m = -30

Divide by 10 on both sides
Solution => m= -3



Check:
5m + 2(2m + 3) = -20 - m 4

5(-3) + 2(2(-3) + 3 ) = -20 (-3) 4
5(-3) + 2(-6 + 3) = (-21)
5(-3) + 2(-3) = (- 21)
(-21) = (-21)
Since both sides of the equation have the same number, the equation is balanced. Therefore the solution m = (-3) is correct.

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How to Simplify Expressions
Integers - Adding Integers
Integers - Multiplication and Division
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Content copyright © 2014 by Beverly Mackie. All rights reserved.
This content was written by Beverly Mackie. If you wish to use this content in any manner, you need written permission. Contact Beverly Mackie for details.

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