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Solving Equations with Steps

Solving Equations with Steps. (Barb’s Nazi Way…). Have a white board/marker/wipe and a calculator…. Definitions. An EQUATION is a math sentence. It contains two expressions, separated by the equals sign (=). The WALL is merely two parallel bars drawn to separate the two expressions.

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Solving Equations with Steps

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  1. Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…

  2. Definitions • An EQUATION is a math sentence. • It contains two expressions, separated by the equals sign (=). • The WALL is merely two parallel bars drawn to separate the two expressions. • INVERSES are operations that undo each other. • P--E--MD--AS is done backwards.

  3. Just Checking… • What is an equation? • How is it different from an expression? • What is the wall? • What are inverses? • Give 3 examples of inverses. • How is P--E--MD--AS done?

  4. Example: 3x + -2 = -7 • Why is this an equation? • What are the two expressions in this equation? • Which one of the expressions is in simplest form?

  5. Steps to solve equations: • Copy the problem. • Draw the wall. • Recopy the problem (leave a little space on the left). • Do backwards! Use inverse operations on both sides of the equal sign. • Solve like expressions - answer underneath. • Cloud answer. • Write the check and arrow up to original answer. P E MD AS

  6. Solve 4x + 5 = 15

  7. Solve 4x + 5 = 15

  8. Solve 4x + 5 = 15 4x + 5 - 5 = 15

  9. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5

  10. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10

  11. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10

  12. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4

  13. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4

  14. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4 1 1

  15. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4 1x = 2.5 1 1

  16. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4 1x = 2.5 x = 2.5 1 1

  17. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4 1x = 2.5 x = 2.5 1 1

  18. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4 1x = 2.5 x = 2.5 1 1 Check: 4 • 2.5 + 5 10 + 5 = 15

  19. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4 1x = 2.5 x = 2.5 1 1 Check: 4 • 2.5 + 5 10 + 5 = 15

  20. Solve 4x + 5 = 15 4x + 5 - 5 = 15 - 5 4x + 0 = 10 4x = 10 4 4 1x = 2.5 x = 2.5 It checks! 1 1 Check: 4 • 2.5 + 5 10 + 5 = 15

  21. Try these: • 125 + 3b = 154.97 • 4t + 7 = 3 • 15 = 3y - (-6) • n / (-8) + 2 = -3 • 30 = x / 3 - 9 • -4.2 = 23 + 8a Bonus: 3n + 9 + 4n = 2

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