Warm Up Solve, showing all steps. 1. n + 9 = 17 2. 6x = 42 3. 71 – z = 55 4. n = 8 x = 7 z = 16 Course 2 11-1 Solving Two-Step Equations = 9 y = 72 y8y8.

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Warm Up Solve, showing all steps. 1. n + 9 = x = – z = n = 8 x = 7 z = 16 Course Solving Two-Step Equations = 9 y = 72 y8y8 Today’s Plan: -Entry Task & Correct Homework -Solve Equations -Practice Learning Target: -I will solve equations with addition, subtraction, multiplication, or division. 9/28/10 Solve Equations

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

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. n + 7 = 15 – 7 –7 n = 8 2x + 3 = 23 – 3 2x = 20You 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. Course Solving Two-Step Equations

Solve. Check each answer. Additional Example 1A: Solving Two-Step Equations Using Division A. 9c + 3 = 39 9c + 3 = 39 – 3 –3 9c = 36 c = 4 Subtract 3 from both sides. Divide both sides by 9. 9c99c9 = 36 9 Course Solving Two-Step Equations

Check. Additional Example 1A Continued 9c + 3 = 39 9(4) ?=?= ?=?= ?=?= Substitute 4 for c. 4 is a solution. Course Solving Two-Step Equations

Solve. Check each answer. A. 7c + 6 = 48 7c + 6 = 48 – 6 –6 7c = 42 c = 6 Subtract 6 from both sides. Divide both sides by 7. 7c77c7 = 42 7 Try This: Example 1A Course Solving Two-Step Equations

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

Solve. Additional Example 2A: Solving Two-Step Equations Using Multiplication A. 6 + y5y5 = 21 y5y5 6 + – 6 –6 y5y5 = 15 y5y5 = (5)15(5) y = 75 Subtract 6 from both sides. Multiply both sides by 5. Course Solving Two-Step Equations

Solve. Additional Example 2B: Solving Two-Step Equations Using Multiplication B. x7x7 – 11 = 9 x7x7 x7x7 = 20 x7x7 = (7)20 (7) x = 140 Add 11 to both sides. Multiply both sides by Course Solving Two-Step Equations

Try This: Example 2A Insert Lesson Title Here Solve. A. 8 + y2y2 = 48 y2y2 8 + – 8 –8 y2y2 = 40 y2y2 = (2)40 (2) y = 80 Subtract 8 from both sides. Multiply both sides by 2. Course Solving Two-Step Equations

Try This: Example 2B Insert Lesson Title Here Solve. B. x5x5 – 31 = 19 x5x x5x5 = 50 x5x5 = (5)50 (5) x = 250 Add 31 to both sides. Multiply both sides by 5. Course Solving Two-Step Equations

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