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Solving Equations: a strategy
The mathematics behind solving equations is basic. The hardest part: What do I do first?…
THE GREAT SOLVING EQUATIONS PLAN!!! The following plan will allow you to solve any equation you come across in five easy steps…
Step 1: Eliminate any denominators using the LCD technique.
Step 2: Eliminate any brackets using the Distributive Law. Brackets lock terms together……that’s bad!
Step 3: Collect like terms on each side of the equation. Remember the sign in front of the term stays with the term.
Step 4: Isolate the variable. Eliminate the smaller variable if they are on both sides.
Step 5: Solve the 2 step equation. Add/sub first, then mult/divide.
Solve the following equations: 1. 4x = x = 5
y = y = y = 27 Check this answer
Check 7 + 3(9) = 34 ? = = 34 YES!!!
3. 3z + 4 = 8z z = z -5z + 4 = z = 5 Check this answer
Check 3(5) + 4 = 8(5) – 21 ? = 40 – 21 ? 19 = 19 YES!!!
4. 2(x + 3) = x = x = 4 2x + 6 = 10 Check this answer
Check 2(2 + 3) = 10 ? 2(5) = = 10 YES!!!
(x – 2) = 6x + 7 – 1x x = 12 -5x -1x – 5 = +7 4x - 5 = 5x x – 8 = 6x + 7 – 1x +5 x = - 12
d= d = 12 X 3 3 X 1 1 4d = d = 9
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