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Warm Up Solve. 1. (9) - (-7) 2. - 8 + (-2) 3. -3 - (-6) 4. 6 + (-2)

Solving Multistep Equations. 10-2. Course 3. Warm Up Solve. 1. (9) - (-7) 2. - 8 + (-2) 3. -3 - (-6) 4. 6 + (-2). 16. -10. 3. 4. Solving Multistep Equations. 10-2. Course 3. Continue Learning to solve multi-step equations. Solving Multistep Equations. 10-2. Course 3.

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Warm Up Solve. 1. (9) - (-7) 2. - 8 + (-2) 3. -3 - (-6) 4. 6 + (-2)

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  1. Solving Multistep Equations 10-2 Course 3 Warm Up Solve. 1.(9) - (-7) 2. -8 + (-2) 3. -3 - (-6) 4. 6 + (-2) 16 -10 3 4

  2. Solving Multistep Equations 10-2 Course 3 Continue Learning to solve multi-step equations.

  3. Solving Multistep Equations 10-2 Course 3 To solve a complicated equation, you may have to simplify the equation first by combining like terms.

  4. Solving Multistep Equations 10-2 33 11x = 11 11 Course 3 Additional Example 1: Solving Equations That Contain Like Terms Solve. 8x + 6 + 3x – 2 = 37 11x + 4 = 37 Combine like terms. – 4– 4Subtract to undo addition. 11x = 33 Divide to undo multiplication. x = 3

  5. Solving Multistep Equations 10-2 39 13x = 13 13 Course 3 Try This: Example 1 Solve. 9x + 5 + 4x – 2 = 42 13x + 3 = 42 Combine like terms. – 3– 3Subtract to undo addition. 13x = 39 Divide to undo multiplication. x = 3

  6. Solving Multistep Equations 10-2 -14 -7c = -7 -7 Course 3 Try This: Example 2 Solve. 36 - 4c – 3c = 22 -7c + 36 = 22 Combine like terms. –36–36Subtract to undo addition. -7c = -14 Divide to undo multiplication. c = 2

  7. Solving Multistep Equations 10-2 + 80+80 Add 80 to both sides. 3h = 3 126 3 h + 2h – 26 – 54 = 46 Course 3 3h – 80 = 46 Combine like terms. 3h = 126 Divide both sides by 3. h = 42

  8. Solving Multistep Equations 10-2 Mr. Wesner $ + Mrs. Wesner $ – Mr. Wesner spent – Mrs. Wesner spent = amount left h + 3h – 50 – 25 = 25 Course 3 Try This: Example 3 When Mr. and Mrs. Wesner left for the store, Mrs. Wesner had three times as much money as Mr. Wesner had. While shopping, Mr. Wesner spent $50 and Mrs. Wesner spent $25. When they arrived home, they had a total of $25. How much did Mr. Wesner have when he left home? Let h represent the amount of money that Mr. Wesner had when he left home. So Mrs. Wesner had 3h when she left home.

  9. Solving Multistep Equations 10-2 4h = 4 100 4 Course 3 Try This: Example 3 Continued 4h – 75 = 25 Combine like terms. + 75+75 Add 75 to both sides. 4h = 100 Divide both sides by 4. h = 25 Mr. Wesner had $25 when he left home.

  10. Solving Multistep Equations 10-2 9 16 25 2x 33 x 6x 5 21 8 21 7 8 8 x = 1 Course 3 Insert Lesson Title Here Lesson Quiz Solve. 1. 6x + 3x – x + 9 = 33 2. –9 = 5x + 21 + 3x 3. + = 5. Linda is paid double her normal hourly rate for each hour she works over 40 hours in a week. Last week she worked 52 hours and earned $544. What is her hourly rate? x = 3 x = –3.75 x = 28 4. – = $8.50

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