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Standards: AF 1.1: Write and solve linear equations in one variable. Objectives: (1)Students will use inverse operations to solve two-step equations. Agenda. 1.) Lesson 6 – Isolating the Variable 2.) Assignment - Worksheet. Multiple Step Equations #6. 3 types:. Type 1: -5 = a – 2d.

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Agenda

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  1. Standards: AF 1.1: Write and solve linear equations in one variable. Objectives: (1)Students will use inverse operations to solve two-step equations. Agenda 1.) Lesson 6 – Isolating the Variable 2.) Assignment - Worksheet

  2. Multiple Step Equations #6 3 types: Type 1: -5 = a – 2d Type 2: -3x – z = x + 7 Type 3:

  3. Inverse Operations Review • What is the opposite/inverse of multiplication? • What is the opposite/inverse of addition? • What is the opposite/inverse of subtraction? • What is the opposite/inverse of division? Division Subtraction Addition Multiplication

  4. Inverse Operations Review These are operations that undo each other. For Example: I get back to 5 by subtracting what I added. 5 + 12 = 17 -12 = -12 5 = 5

  5. Type 1: You need to get d all by itself! -5 = a – 2d Get rid of the adding or subtracting FIRST! -a - a • Do the Opposite! -5 - a -2d = Now get rid of the multiplication or division! -2 -2 • Do the Opposite! d =

  6. You Try: You need to get y all by itself! 4 = x – 7y Get rid of the adding or subtracting FIRST! -x - x • Do the Opposite! 4 - x -7y = Now get rid of the multiplication or division! -7 -7 • Do the Opposite! y =

  7. Type 2: Solve for x. -3x – z = x + 7 Collect Like Terms! -x - x • Do the Opposite! - z -4x 7 = +z +z Now isolate the variable x! -4x z + 7 • Do the Opposite! -4 -4 = x

  8. You Try: Solve for a. -2a – b = a - 9 Collect Like Terms! -a - a • Do the Opposite! - b -3a - 9 = + b +b Now isolate the variable x! -3a b - 9 • Do the Opposite! -3 -3 = a

  9. Type 3: Solve for x. Get rid of the fraction! • Do the Opposite! Now isolate the variable x! • Do the Opposite!

  10. You Try: Solve for a. Get rid of the fraction! • Do the Opposite! Now isolate the variable x! • Do the Opposite!

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