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Published byConrad Berry Modified over 5 years ago

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Solving Multi-Step Equations 4-5

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Objective Today you will solve equations involving more than one operations.

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When solving multi-step equations, you need to work BACKWARDS with order of operations P ( ) E (x 2 ) M (X) D (÷) A (+) S (-)

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Solve Multi-Step Equations 11x – 4 = 29 + 4 = +4 11x = 33 ÷11 = ÷11 x = 3 P ( ) E (x 2 ) M (X) D (÷) A (+) S (-) CHECK: 11x – 4 = 29 11 (3) – 4 = 29 33 – 4 = 29 29 = 29

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a + 7 = 5 8 a + 7 = 5(8) 8 a + 7 = 40 - 7 = - 7 a = 33 ( ) 8 CHECK: 33 + 7 = 5 8 40 = 5 8 5 = 5

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Equations with Negative Coefficients 9 - t = -34 Identity Property: t = 1t Definition of Subtraction 9 – 1t = -34 9 + (-1t) = -34 -9 Subtract 9 from both sides (-1t) = -43 Simplify (-1t) = -43 Division Property of Equality -1 = -1 1t = 43 Simplify CHECK: 9 – 43 = -34 -34 = -34

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Combine Like Terms Before Solving 2x + x – 27 = 3 2x + 1x = 3x 3x – 27 = 3 Combine like terms Rewrite 3x – 27 = 3 + 27 = +27 Add 27 to each side. 3x = 30 3 3 X = 10 Divide each side by 3. Simplify CHECK: 2x + x – 27 = 3 2(10) + 10 -27 =3 20 + 10 – 27 = 3 30 – 27 = 3 3 = 3

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YOUR TURN 1)2a – 6 = 4 2) n + 2 = 15 -2 3)-15 – b = 44 3) 4 -9c + 3c = 58 a = 5 n = -32 b = -59 c = -9

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Thought of the Day! There's no Betty Rubble in the Flintstones Chewables Vitamins.

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