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Published byBlake Charles Modified over 6 years ago

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Bell Ringer Solve use the DP 5(6+10) 1 ½ x 14 3(x +2)=16

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3-5 Solving Equations with the Variable on Each Side This presentation was created following the Fair Use Guidelines for Educational Multimedia. Certain materials are included under the Fair Use exemption of the U. S. Copyright Law. Further use of these materials and this presentation is restricted.

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Objectives Students will solve equations with the variable on each side. Students will solve equations involving grouping symbols.

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Steps for Solving Equations 1.Use the Distributive Property to remove the grouping symbols. GET RID OF ( )’s 2.Simplify the expressions on each side of the equals sign. ADD ALL LIKE TERMS 3.Use the Addition and/or Subtraction Properties of Equality to get the variables on one side of the equals sign and the numbers without variables on the other side of the equals sign. ALL LETTERS=ALL NUMBERS 4.Simplify the expressions on each side of the equals sign.ONE LETTER = ONE NUMBER 5.Use the Multiplication and/or Division Property of Equality to solve. SOLVE THE EQUATION

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Example 1 Solve 8 + 5s = 7s – 2 -5s -5s 8 = 2s – 2 +2 +2 10 = 2s 2 2 s = 5

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Example 2 1/3(18 + 12q) = 6(2q – 7) 6 + 4q = 12q – 42 -4q -4q 6 = 8q – 42 +42 + 42 48 = 8q q = 6

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Example 3 8(5c – 2) = 10(32 + 4c) 40c – 16 = 320 + 40c -40c -16 = 320 No solution

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Example 4 4(t + 20) = 1/5(20t + 400) 4t + 80 = 4t + 80 -4t 80 = 80 All numbers are solutions.

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Example 5 8(b + 1) + 4 = 3(2b – 8) – 16 8b + 8 + 4 = 6b – 24 – 16 8b + 12 = 6b – 40 -6b 2b + 12 = -40 -12 -12 2b = -52 b = -26

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