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Mastering Equation Solving: Five Easy Steps to Success

Unlock the secrets of solving equations with this straightforward five-step plan! Start by eliminating denominators using the LCD technique, then tackle any brackets with the distributive law to separate terms. Collect like terms on both sides, ensuring to carry the signs correctly. Isolate the variable by simplifying any smaller variables, and finally, solve the resulting two-step equation by following the order of operations. This comprehensive guide also includes practice problems to reinforce your skills.

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Mastering Equation Solving: Five Easy Steps to Success

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  1. Solving Equations: a strategy

  2. The mathematics behind solving equations is basic. The hardest part: What do I do first?…

  3. THE GREAT SOLVING EQUATIONS PLAN!!! The following plan will allow you to solve any equation you come across in five easy steps…

  4. Step 1: Eliminate any denominators using the LCD technique.

  5. Step 2: Eliminate any brackets using the Distributive Law. Brackets lock terms together……that’s bad!

  6. Step 3: Collect like terms on each side of the equation. Remember the sign in front of the term stays with the term.

  7. Step 4: Isolate the variable. Eliminate the smaller variable if they are on both sides.

  8. Step 5: Solve the 2 step equation. Add/sub first, then mult/divide.

  9. 1 4 4 1 Solve the following equations: • 4x = 20 x = 5

  10. 1 -7 -7 3 3 1 2. 7 + 3y = 34 3y = 27 y = 9 Check this answer

  11. Check 7 + 3(9) = 34 ? 7 + 27 = 34 34 = 34 YES!!!

  12. -8z -8z 1 -4 -4 -5 -5 1 -5z + 4 = -21 3. 3z + 4 = 8z - 21 -5z = - 25 z = 5 Check this answer

  13. Check 3(5) + 4 = 8(5) – 21 ? 15 + 4 = 40 – 21 ? 19 = 19 YES!!!

  14. 1 2 2 1 -6 -6 2x + 6 = 10 4. 2(x + 3) = 10 2x = 4 x = 2 Check this answer

  15. Check 2(2 + 3) = 10 ? 2(5) = 10 10 = 10 YES!!!

  16. 1 -1 -1 1 -5x -5x +5 + 5 3 + 4x – 8 = 6x + 7 – 1x 5. 3 + 4(x – 2) = 6x + 7 – 1x 4x - 5 = 5x + 7 -1x – 5 = +7 -1x = 12 x = - 12

  17. 1 1 1 4 4 1 4 d = 12 3 6. 4 d 3 X 12 X 3 = 3 4d = 36 d = 9

  18. Homework Re-attempt various problems.

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