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- 1. – ALGEBRA I – UNIT 1 – Section 1 Solving Equations Solving equations is fun and easy… In this section, we will introduce the rules for solving… <ul><li>equations </li></ul>I call these rules the… <ul><li>Three Golden Rules </li></ul>
- 2. EQUATIONS An equation is a statement formed by placing an equal sign between two numerical or variables expressions. Example of equations include… An equation that contains a variable is sometimes referred to as an OPEN SENTENCE. How do you define “equation”?
- 3. EQUATIONS DOMAIN – The domain is the fancy name for set of answers that can be substituted in for the variable. Here are a few more terms associated with equations… SOLUTION – The solution is the answer to the equation. Other synonyms for solution include: ANSWER, ROOT, SOLUTION SET, etc.
- 4. THREE GOLDEN RULES The “Three Golden Rules” for solving equations allow you to solve ANY equation. The “Three Golden Rules” are: 1) The goal of solving the equation is to get the VARIABLE BY ITSELF.
- 5. THREE GOLDEN RULES The “Three Golden Rules” for solving equations allow you to solve ANY equation. The “Three Golden Rules” are: 2) Do the OPPOSITE OPERATION to get the variable by itself.
- 6. THREE GOLDEN RULES The “Three Golden Rules” for solving equations allow you to solve ANY equation. The “Three Golden Rules” are: 3) To keep the equation balanced, do the SAME THING TO BOTH SIDES.
- 7. 1) Get the “x” by itself 3) Do the same thing to both sides. EXAMPLE Check your work 2) You need to make –19 go away by doing the opposite operation.
- 8. CHECK YOUR WORK! Anytime you solve an equation, you can check your answer by plugging it into the original problem and simplifying. I cannot emphasize enough how important it is to check your work.
- 9. CHECK YOUR WORK Check your work! CHECK YOUR WORK CHECK YOUR WORK Check your work! Check your work. Check your work!
- 10. Try These Problems… Gives these problems a try. Use the “Three Golden Rules.” Be sure to show your work! **The answers can be found at the end of the PowerPoint.
- 11. ALGEBRA IS FUN AND EASY! **Answers: 1) 17 2) 135 3) 15 4) 64 5) 15

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