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