# Unit 3: Modeling using Equations Minds On. Unit 3: Modeling using Equations Solving Polynomial Equations (2) Learning Goal I can solve equations.

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Unit 3: Modeling using Equations Minds On

Unit 3: Modeling using Equations Solving Polynomial Equations (2) Learning Goal I can solve equations

Success Criteria Expand using distributive property to eliminate fractions or to eliminate brackets Collect like terms Isolate the variable by adding or subtracting terms, so that the unknown variable is isolated to one side of the equation Multiply or divide both sides of the equation so that the coefficient of the variable is 1 Unit 3: Modeling using Equations Solving Polynomial Equations (2)

Example 1: 5(2 + x) – 2(3x – 6) = 0 Unit 3: Modeling using Equations Solving Polynomial Equations (2)

Step One: Expand using distributive property to eliminate fractions or to eliminate brackets Unit 3: Modeling using Equations Solving Polynomial Equations (2) 5(2 + x) – 2(3x – 6) = 0

Step Two: Collect like terms Unit 3: Modeling using Equations Solving Polynomial Equations (2) 10 + 5x – 6x + 12 = 0

Step Three: Isolate by adding or subtracting terms Unit 3: Modeling using Equations Solving Polynomial Equations (2) 22 – x = 0

Step Four: Multiply or divide both sides of the equation so that the coefficient of the variable is 1 Unit 3: Modeling using Equations Solving Polynomial Equations (2) – x = -22

Unit 3: Modeling using Equations Solving Polynomial Equations (2)

Step One: Multiply each term by the lowest common denominator to eliminate fractions Unit 3: Modeling using Equations Solving Polynomial Equations (2)

Step Two: Collect like terms Unit 3: Modeling using Equations Solving Polynomial Equations (2)

Step Three: Isolate the variable by adding or subtracting terms Unit 3: Modeling using Equations Solving Polynomial Equations (2)

Step Four: Multiply or divide both sides of the equation so that the coefficient of the variable is 1 Unit 3: Modeling using Equations Solving Polynomial Equations (2)

Step Five: Perform a check to see if your answer is correct Unit 3: Modeling using Equations Solving Polynomial Equations (2)

Practice  Read Page 312 “Key Ideas” and Example #1  Do Page 313 Q# 3a*eim, 4adg, 5a*cg, 6b*d, 7ac*eg,  Do proper “CHECKS” for questions with the “*” Unit 3: Modeling using Equations Solving Polynomial Equations (2)

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