Lesson 1.9: Solving Two-Step Equations

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Lesson 1.9: Solving Two-Step Equations
Presentation transcript:

Lesson 1.9: Solving Two-Step Equations Standard: AF 4.1 Objective: Solve equations using two steps

Objective - To solve equations involving two steps. 3x + 4 = 16 Hard way Easy way 3x + 4 = 16 3x + 4 = 16 - Undo Multiplication or Division first - Undo Addition or Subtraction first

Hard way - Undo Mult./ Div. first Easy way - Undo Add./ Subt. first 3x + 4 = 16 3x + 4 = 16 3 3 -4 -4 3x = 12 3x 4 16 + = 3 3 3 3 3 4 16 x = 4 x + = 3 3 4 4 - - 3 3 12 x = 3 x = 4

Rules for Transforming Equations 1) Goal: Isolate the variable on one side of the equation. ISOLATE 2) Always perform the same operation to both sides of an equation. BALANCE 3) To undo an operation, perform its opposite operation to both sides of the equation. INVERSE OPERATION

Solve the following equations.

Translate the sentence below and solve. 6) Five less than the quotient of x and 2 is 37.

Quick Draw for Points! Who is the best at showing their work? The text is TWO STEP EQUATIONS You will have 30-60 seconds for each problem. Are you ready to prove yourself?

Solve the following equations.

Translate the sentence below and solve. 5) Eight more than 3 times a number y is the same as 29.