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Solving Equations: Strategies and Methods

Learn how to solve equations using various methods and strategies. Practice solving different equations and check your solutions. Explore undoing operations and using the order of operations effectively. Improve your equation-solving skills with guided examples.

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Solving Equations: Strategies and Methods

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  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

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