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When you solve equations that have one operation, you use an inverse operation to

When you solve equations that have one operation, you use an inverse operation to isolate the variable. . n + 7 = 15. – 7 –7. n = 8. You can also use inverse operations to solve equations that have more than one operation. 2 x + 3 = 23. You need to use another operation

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When you solve equations that have one operation, you use an inverse operation to

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  1. When you solve equations that have one operation, you use an inverse operation to isolate the variable. n + 7 = 15 – 7–7 n = 8 You can also use inverse operations to solve equations that have more than one operation. 2x + 3 = 23 You need to use another operation to isolate x. – 3– 3 2x = 20

  2. 9c 9 = 36 9 Additional Example 1A: Solving Two-Step Equations Using Division Solve. Check each answer. 9c + 3 = 39 9c + 3 = 39 Subtract 3 from both sides. – 3–3 9c = 36 Divide both sides by 9. c = 4

  3. Additional Example 1A Continued Check. 9c + 3 = 39 ? = 9(4) + 3 39 Substitute 4 for c. ? = 36 + 3 39 ? = 39 39 4 is a solution.

  4. Helpful Hint Reverse the order of operations when solving equations that have more than one operation.

  5. –28 –4 = –4m –4 Additional Example 1B: Solving Two-Step Equations Using Division Solve. Check the answer. –34 = –4m – 6 –34= –4m – 6 + 6+6 Add 6 to both sides. –28 = –4m Divide both sides by –4. 7= m

  6. Additional Example 1B Continued Check. –4m – 6 = –34 ? = –4(7) – 6 –34 Substitute 7 for m. ? = –28 – 6 –34 ? = 7 is a solution. –34 –34

  7. Additional Example 2A: Solving Two-Step Equations Using Multiplication Solve. y 5 6 + = 21 y 5 = 21 6 + – 6 –6 Subtract 6 from both sides. y 5 = 15 y 5 (5)‏ = (5)15 Multiply both sides by 5. y = 75

  8. +11 +11 Additional Example 2B: Solving Two-Step Equations Using Multiplication Solve. x 7 – 11 = 9 x 7 – 11 = 9 Add 11 to both sides. x 7 = 20 x 7 Multiply both sides by 7. = (7)20 (7)‏ x = 140

  9. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  10. v –8 Lesson Quiz Solve. Check your answers. 1. 6x + 8 = 44 2. 14y – 14 = 28 3. 4. x = 6 y = 3 m 7 12 = + 3 63= m – 6 = 8 v = –112 5. Last Sunday, the Humane Society had a 3-hour adoption clinic. During the week the clinic is open for 2 hours on days when volunteers are available. If the Humane Society was open for a total of 9 hours last week, how many weekdays was the clinic open? 3 days

  11. Lesson Quiz for Student Response Systems 1. Solve 7q + 5 = 68. • A.q = 6 B.q = 7 C.q = 8 D.q = 9

  12. Lesson Quiz for Student Response Systems 2. Solve 17h – 10 = 75. • A.h = 5 B.h = 7 C.h = 9 D.h = 10

  13. Lesson Quiz for Student Response Systems 3. Solve • A.z = 72 B.z = 86 C.z = 90 D.z = 104

  14. Lesson Quiz for Student Response Systems • 4. A taxi charges an airport pickup fee of $3 plus $1.50 for each mile traveled. If a taxi ride cost John $36, how many miles did John travel in the taxi? • A. 21 miles B. 22 miles C. 31 miles D. 32 miles

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