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Mastering Multistep Equations: A Comprehensive Guide to Solving Step-by-Step

This lesson focuses on solving multistep equations using addition, subtraction, multiplication, and division. Through detailed examples and collaborative activities, students will learn to frame and solve equations like (5n + 6 = -4) and (2x - 1 = -3). The structured approach emphasizes understanding the order of operations and employing reverse operations to isolate variables. Homework assignments reinforce skills with practice problems, and resources are provided for review and assessment. By the end of this lesson, students will confidently tackle multistep equations.

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Mastering Multistep Equations: A Comprehensive Guide to Solving Step-by-Step

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  1. Warm ups - simplify

  2. Math Binder • Current Notes • Old Notes • Homework • Review Sheets • Quizzes/Tests

  3. 3-3 Solving Multistep Equations Objective: To solve equations using add., subt., mult., and division.

  4. 5n + 6 = -4 -6 -6 5n = -10 5 5 n = -2 17 = 7y + 87 Examples 1 – 3 (watch & listen) -9 -9 (5) (5)

  5. Examples 4 – 6 (do with me)

  6. Example 7 – 9 (with a partner)

  7. TOO (Try on your own)

  8. Solve.

  9. Recap with a partner… • Explain to your partner how to solve a multi-step equation. • Explain how to solve the following equation:

  10. Homework Pg. 160 # 17 – 33 odd Check your answers in the back of the book.

  11. Math Lab • Review today’s lesson • Homework • Please finish worksheets from last week: • Why did the ant run across the cracker box? • What did the Spanish Farmer say to his chicken?

  12. ObjectiveThe student will be able to: solve two-step equations. Designed by Skip Tyler, Varina High School

  13. To solve two-step equations, undo the operations by working backwards. Example: Ask yourself, What is the first thing we are doing to x? What is the second thing? • Recall the order of operations as you answer these questions. • Dividing by 2 • Subtracting 3 To undo these steps, do the opposite operations in opposite order.

  14. 1) Solve 2x - 1 = -3 Draw “the river” Add 1 to both sides Simplify Divide both sides by 2 Simplify Check your answer + 1 + 1 2x = -2 2 2 x = -1 2(-1) - 1 = -3 -2 – 1 = -3

  15. 2) Solve Draw “the river” Add 4 to both sides Simplify Clear the fraction -Multiply both sides by 3 Simplify Check your answer + 4 + 4 3 · · 3 x = 36 12 – 4 = 8

  16. Try these on your own...

  17. The answers...

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