Standards: Objectives: Agenda 1.) Lesson 1 – Solving 2 Equations with

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Standards: Objectives: Agenda 1.) Lesson 1 – Solving 2 Equations with 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 1 – Solving 2 Equations with 2.) Assignment - Worksheet

Inverse Operations 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

Inverse Operations 5 + 12 = 17 -12 = -12 5 = 5 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

Multiple Step Equations #1 3 types: Type 1: -3x + 10 = 1 Type 2: Type 3:

Type 1: -3x + 10 = 1 - 10 -10 -3x + 0 = -9 -3 -3 x = 3 You need to get x all by itself! -3x + 10 = 1 Get rid of the adding or subtracting FIRST! - 10 -10 Do the Opposite! -3x + 0 = -9 Now get rid of the multiplication or division! -3 -3 Do the Opposite! x = 3

You try: -2x + 12 = 2 - 12 -12 -2x + 0 = -10 -2 -2 x = 5 Get rid of the adding or subtracting FIRST! - 12 -12 Do the Opposite! -2x + 0 = -10 Now get rid of the multiplication or division! -2 -2 Do the Opposite! x = 5

Type 2: You need to get y all by itself! y 2 - 4 = 12 Get rid of the adding or subtracting FIRST! +4 +4 Do the Opposite! y 2 Now get rid of the multiplication or division! 2● +0 = 16 ●2 Do the Opposite! y = 32

You Try: y 3 - 5 = 4 Get rid of the adding or subtracting FIRST! +5 +5 Do the Opposite! y 3 Now get rid of the multiplication or division! 3● +0 = 9 ●3 Do the Opposite! y = 27

Type 3: 2 5 - - x = -4 2 5 -5● x = -4 ●-5 - 2x = 20 2 2 x = 10 Bring the negative up or down 2 5 - - x = -4 2 5 Now get rid of the division! -5● x = -4 ●-5 Do the Opposite! - 2x = 20 Now get rid of the multiplication! 2 2 Do the Opposite! x = 10

You Try: 3 7 - - x = -3 3 7 -7● x = -3 ●-7 - 3x = 21 3 3 x = 7 Bring the negative up or down 3 7 - - x = -3 3 7 Now get rid of the division! -7● x = -3 ●-7 Do the Opposite! - 3x = 21 Now get rid of the multiplication! 3 3 Do the Opposite! x = 7