Solving Multi-Step Equations Just remember to follow the steps 1.Apply the Distributive Property 2.Combine like terms to simplify 3.Isolate the variable.

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Presentation transcript:

Solving Multi-Step Equations Just remember to follow the steps 1.Apply the Distributive Property 2.Combine like terms to simplify 3.Isolate the variable using inverse operations 4.Check your answer

Example # 1 1 st Apply the Distributive Property 2 nd Step: Combine like terms to simplify 3 rd Step: Isolate the variable using inverse operations 4 th step: Check your answer 15 – 4 ( y + 3 ) = – 4 ( ) = 19 Substitution – 12 = – 12 = = 19

Example # 2 1 st Step: Apply the Distributive Property 2 nd Step: Combine like terms to simplify 3 rd Step: Isolate the variable using inverse operations 4 th step: Check your answer

You Try 2( 4x + 3) – 5(2x – 1) = – 27 8x + 6 – 10x + 5 = – 27 8x – 10x = – 27 – 2x +11 = – 27 – 11 – 11 – 2x = – 38 – 2 – 2 x = 19 1 st Step: Apply the Distributive Property 2 nd Step: Combine like terms to simplify 3 rd Step: Isolate the variable using inverse operations 4 th step: Check your answer

3(2x + 5) = 39 -4(8 + 5n) = 8 6(3x - 5) - 7x = 25 -2(5 + 6m) + 16 = x - (8x - 7) = 67 7w - 3(4w + 8) = 11 x = 4 n = -2 x = 5 m = 8 x = 6 w = -7

Solving Multi-Step Equations with Distributive Property & Combining Like Terms Write and solve an equation to find the missing length, a, if the length of the two line segments combined is 36 cm. 2a cm 4a cm

1st Step: Combine like terms to simplify 2 nd Step: Isolate the variable using inveres operations 3 rd step: Check your answer Write and solve an equation to find the missing length, a, if the length of the two line segments combined is 36 cm. 2a cm 4a cm 2a + 4a = 36 6a = a = 6 2(6) + 4(6) = = 36 ?

1 st Step: Apply the Distributive Property 2 nd Step: Combine like terms to simplify 3 rd Step: Isolate the variable using inverse operations 4 th step: Check your answer Six friends go to the movies. Movie tickets are $5 and treats are $2 each. If all 6 friends bought the same number of treats, how many did each person buy if the total spent by all was $54? 6(5 + 2x) = x = x = x = 2 ?