1. 1.4.2 – Linear Equations and Fractions

2. We have reviewed how to solve single and multi-step equations – Inverse operations – Balanced sides – Checking solutions At times, fractions may come up

3. Methods There are a few methods to real with fractions 1) Keep all fractions as they are; just combine when possible 2) Attempt to find common denominators if you have multiple fractions, then work with those 3) Get rid of fractions by eliminating denominators

4. The third option will guarantee you the least amount of work But, also the easiest method to make an error on Will work primarily with the 3 rd option today

5. To get rid of fractions, you need to; – 1) Identify denominators you need to eliminate – 2) If more than one denominator/different factor, find least common multiple of the two numbers – 3) Multiply BOTH sides by the LCM or denominator (at this point, all denominators cancel) – 4) Distribute to each numerator – 5) Solve an equation like you did before

6. Example. Solve the equationfor z.

7. Example. Solve for y.

8. Example. Solve for x.

9. Applications There are numerous applications with any kind of equation One is converting degrees Celsius to Fahrenheit, or vice versa

10. Example. The equation is used to convert degrees Celsius (C) to Fahrenheit (F). If it is currently 89 degrees outside, find the temperature in Celsius.

11. Example. From the previous problem, find a general equation to convert Fahrenheit to Celsius. (IE, come up with an equation to plug F into and get C out).

12. Assignment Pg. 30 48-56 all, 60-61