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SCRIBBLE PAD

SCRIBBLE PAD. EQ: How do you solve every equation in the whole world? A: Inverse operations What does it mean to isolate the variable?. Single-step to Multi-step. What is the inverse of add? Subtract? Multiply? Divide? 4x = 12 x + 4 = 10 = 10 x - 2 = 12. Multi-step.

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SCRIBBLE PAD

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  1. SCRIBBLE PAD EQ: How do you solve every equation in the whole world? A: Inverse operations What does it mean to isolate the variable?

  2. Single-step to Multi-step • What is the inverse of add? • Subtract? • Multiply? • Divide? 4x = 12 x + 4 = 10 = 10 x - 2 = 12

  3. Multi-step • Undo addition and subtraction before multiplication and division. 3x + 3 = 12 + 4 = 12

  4. Writing Activity • On notebook paper or in your Writing Journal, make two columns. • Solve and write each property you use to justify each step.

  5. Writing Activity • On notebook paper or in your Writing Journal, make two columns. • Solve and write each property you use to justify each step.

  6. Special Cases • 4x + 5 = 4x • 2x – 4 = 4x – 4 - 2x

  7. Day 2 – Warm-up – Solve and add properties

  8. Multi-step • Sometimes you must distribute or combine like terms before solving. 4x – 2 + 3x = 12 -2(x – 4) = -12

  9. What is the answer? Google it if you have access to a phone, laptop, or tablet. 4x – 10 = 4x

  10. Variables on both sides • Your job is to get variables on one side and numbers on the other. • Start with the variables. • 2x + 4 = 4x - 8

  11. You try… • 4x + 3 – 10 = -10x + 21

  12. Multi-step If you have a fraction, you should get rid of it before solving. = 10

  13. Special case How do you solve if you have a fractional coefficient? x = 24

  14. Equations in Biology & Statistics • velocity = distance divided by time • v = d/t • (2) force = mass times acceleration • F = ma • (3) acceleration = change in velocity divided by time • a = Δv/t • (4) momentum = mass times velocity • p = mv • Standard deviation

  15. Solving for a variable • Don’t forget • A = ½ b h Solve for b

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