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Mastering Multi-Step Equations and Absolute Value: A Comprehensive Review

This educational resource provides a thorough review of verbal expressions, multi-step equations, and absolute value problems. It covers topics such as translating phrases into mathematical equations, solving multi-step equations using inverse operations, and how to handle absolute value equations. The guide includes various examples, demonstrating the use of coefficients, constants, and variables on both sides of the equations. Perfect for students looking to strengthen their understanding of algebraic concepts and enhance their problem-solving skills.

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Mastering Multi-Step Equations and Absolute Value: A Comprehensive Review

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Presentation Transcript

  1. Let’s Review!

  2. Verbal Expressions • A number multiplied by 9 and increased by 10 • The difference between 6 times a number and 12. • Two more than 7 times a number • 3 less than 4 times a number

  3. Multi-Step Equations • Solve using inverse operations • x/5 – 6 = 10 • 4(x - 5) = 12

  4. Multi-Step Equations • Solve using inverse operations • -13 + z/4 + 7 = -9 • -6x + 2 – 4x + 10 = 32

  5. Variables on Both Sides of the Equation USE C.C.M.S.

  6. 15 – x =2(x + 3) • USE C.C.M.S

  7. USE C.C.M.S.

  8. 2b + 4(b - 5) – 2 = 92 • USE C.C.M.S.

  9. 1.2y + 2.8y + 5 = 5y - 9 • USE C.C.M.S.

  10. Absolute Value • Note number of solutions and the solutions • | x + 7| = 18 • |9 + x| = 0 • |4x| = -12 • |x - 4| = 9 • |5x + 10| - 3 = -3 • |3x – 2| = -9

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