Chapter 5 Sec 5.1.1

1. Chapter 5 Sec 5.1.1 Solving Equations

2. 5 min Apply the order of operations to evaluate each. Order of Operations Undo Operations ( ) in a different disguise

3. Calculator Review • Store the following values for each given variable in your calculator. Use the variables to evaluate each:

4. Solving equations • The next slides will display various equations that you need to solve. • Each equation requires different strategies. Please take careful notes on how each equation is solved… make your notes as general as possible.

5. Consider • Solve the equation using any method. • Check to see if your solution is correct; use a different method.

6. Consider • Undo each operation. • Check answer:

7. Page 222, problem 5-3solve for x Method 1: undo operations Method 2: multiply both sides by common denominator, then simplify and solve.

8. Page 222, problem 5-3Method 1: undo operations Subtract 1/3 from both sides multiply both sides by 4 add 5 to both sides. Check your answer.

9. Method 2: multiply both sides by common denominator, then simplify and solve. distribute combine like terms

10. Undoing the absolute valueSolve for x: |x|=4 Therefore Absolute value function, similar to the quadratic function, will have two answers.

11. Page 222 5-4 a =8 =2 divide both side by 4 Dissemble the abs value: Now solve each linear equations: Check your answer.

12. Page 222 5-4 b • Solve the linear equation: • Check your answer.

13. Page 222 5-4 c Add 2 to both sides. It is not possible to raise a number to power of 2 and get a negative answer, therefore this problem has no solution.

14. Page 222 5-4 d distribute combine like terms combine like terms Apply the Quadratic formula or factor: Check your answer.

15. Page 222, problem 5-4 e common denom. add fractions

16. Check answer.

17. On your own: • Review your notes. Rewrite and fortify them if needed. • Update your vocab list, if needed. • Review and Preview • Page 222 • # 6-12