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3.5 More on Solving Equations Goal:

3.5 More on Solving Equations Goal: To solve equations by first getting all variables to the same side of the equation. Steps to solve multi-step linear equations. If there are ( ) distribute Collect like terms on same side. Move variables to same side of equation. (APE)

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3.5 More on Solving Equations Goal:

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  1. 3.5 More on Solving Equations Goal: • To solve equations by first getting all variables to the same side of the equation

  2. Steps to solve multi-step linear equations • If there are ( ) distribute • Collect like terms on same side. • Move variables to same side of equation. (APE) • Move the constant to the other side of the equation (APE) • Solve for x using the (MPE)

  3. + 3x + 3x If there are variables on both sides of the equation…. • Eliminate the variable from one side using the Addition Property of Equality 2x – 2 = -3x + 3 5x – 2 = + 3

  4. Solve for x:

  5. +3m +3m -5 -5 • Collect like terms on the same side first • Eliminate the variable from one side using the Addition Property of Equality 6m +5 – 2m = 10 – 3m +16 4m +5 = 26 – 3m 7m +5 = 26 7m = 21 m =3

  6. +3m +3m -5 -5 6m +5 – 2m = 10 – 3m +16 4m +5 = 26 – 3m 7m +5 = 26 7m = 21 m =3

  7. 3(n - 2) – 1 = 2 – 5(n + 5) 3n - 6 – 1 = 2 – 5(n + 5) 3n - 6 – 1 = 2 – 5n - 25 3n - 7 = -23 – 5n 5n + +5n 8n - 7 = -23 +7 +7 8n = -16 n =-2

  8. 3(2y +7) = 30 + 7(y - 1) You try this one and raise your hand once you get the answer! y = -2

  9. Assignment:Workbook Page 16 (10-23) all-Do on a separate sheet of paper and show all work

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