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Warm Up Solve, showing all steps. 1. n + 9 = 17 2. 6 x = 42 3. 71 – z = 55 4.

9/28/10 Solve Equations . Solving Two-Step Equations. 11-1. y 8. Course 2. Warm Up Solve, showing all steps. 1. n + 9 = 17 2. 6 x = 42 3. 71 – z = 55 4. n = 8. x = 7. z = 16. y = 72. = 9. Today’s Plan: -Entry Task & Correct Homework

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Warm Up Solve, showing all steps. 1. n + 9 = 17 2. 6 x = 42 3. 71 – z = 55 4.

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  1. 9/28/10 Solve Equations Solving Two-Step Equations 11-1 y 8 Course 2 Warm Up Solve, showing all steps. 1.n + 9 = 17 2. 6x = 42 3. 71 – z = 55 4. n = 8 x = 7 z = 16 y = 72 = 9 Today’s Plan: -Entry Task & Correct Homework -Solve Equations -Practice Learning Target: -I will solve equations with addition, subtraction, multiplication, or division.

  2. 9/28/10 Solve Equations Solving Two-Step Equations 11-1 Course 2 Correct Homework Today’s Plan: -Entry Task & Correct Homework -Solve Equations -Practice Learning Target: -I will solve equations with addition, subtraction, multiplication, or division.

  3. Solving Two-Step Equations 11-1 Course 2 When you solve equations that have one operation, you use an inverse operation to isolate the variable. You can also use inverse operations to solve equations that have more than one operation. 2x + 3 = 23 n + 7 = 15 – 7–7 – 3– 3 n = 8 2x = 20 You need to use another operation to isolate x. It is often a good plan to follow the order of operations in reverse when solving equations that have more than one operation.

  4. Solving Two-Step Equations 11-1 9c 9 = 36 9 Course 2 Additional Example 1A: Solving Two-Step Equations Using Division Solve. Check each answer. A. 9c + 3 = 39 9c + 3 = 39 Subtract 3 from both sides. – 3–3 9c = 36 Divide both sides by 9. c = 4

  5. Solving Two-Step Equations 11-1 Course 2 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.

  6. Solving Two-Step Equations 11-1 7c 7 = 42 7 Course 2 Try This: Example 1A Solve. Check each answer. A. 7c + 6 = 48 7c + 6 = 48 Subtract 6 from both sides. – 6–6 7c = 42 Divide both sides by 7. c = 6

  7. Solving Two-Step Equations 11-1 Course 2 Insert Lesson Title Here Try This: Example 1A Continued Check. 7c + 6 = 48 ? = 7(6) + 6 48 Substitute 6 for c. ? = 42 + 6 48 ? = 48 48 6 is a solution.

  8. Solving Two-Step Equations 11-1 Course 2 Additional Example 2A: Solving Two-Step Equations Using Multiplication Solve. y 5 A. 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

  9. Solving Two-Step Equations 11-1 +11 +11 Course 2 Additional Example 2B: Solving Two-Step Equations Using Multiplication Solve. x 7 – 11 = 9 B. x 7 – 11 = 9 Add 11 to both sides. x 7 = 20 x 7 Multiply both sides by 7. = (7)20 (7) x = 140

  10. Solving Two-Step Equations 11-1 Course 2 Insert Lesson Title Here Try This: Example 2A Solve. y 2 A. 8 + = 48 y 2 = 48 8 + – 8–8 Subtract 8 from both sides. y 2 = 40 y 2 = (2)40 Multiply both sides by 2. (2) y = 80

  11. Solving Two-Step Equations 11-1 Course 2 Insert Lesson Title Here Try This: Example 2B Solve. x 5 – 31 = 19 B. x 5 – 31 = 19 +31+31 Add 31 to both sides. x 5 = 50 x 5 Multiply both sides by 5. = (5)50 (5) x = 250

  12. 9/28/10 Solve Equations Solving Two-Step Equations 11-1 Course 2 Assignment # 9 Solving 2-step Equations Pg 562 #1, 4, 8, 11, 15, 25, 26 Today’s Plan: -Entry Task & Correct Homework -Solve Equations -Practice Learning Target: -I will solve equations with addition, subtraction, multiplication, or division.

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