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The Golden Rules

Electrifying Equations By : Jon Degnan Kevin Hartigan Ryan Kerrigan. The Golden Rules. 1. One of the Golden Rules is that you must isolate the variable.

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The Golden Rules

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  1. Electrifying Equations By : Jon Degnan Kevin Hartigan Ryan Kerrigan

  2. The Golden Rules 1. One of the Golden Rules is that you must isolate the variable. 2. Always use the inverse operations.

  3. Constants and Coefficients Constants : A number (no variable) Coefficients : a number and a variable

  4. Addition Equations Whenever you subtract a number from one side you must subtract it from the other and keep the balance. The new equation is equivalent to the original equation N + 14 = 86 - 14 -14 N = 72 X + 9 = 21 52 + s = 52 12 = y + (-2) 52 + s = 37 - 52 - 52 S = -15

  5. Subtraction Equations To solve a subtraction equation, you have to use the Addition Property of Equality. Remember that addition is the inverse operation of subtraction. S – 42 = 914 + 42 + 42 S = 956 -7 – x = 12 g - (-14) = 11 11 = y - (-4)2

  6. Multiplication Equations To solve a multiplication equation, use the Division Property of Equality. Multiplication and division are inverse operations because they (undo) eachother. 25A = 100 (15g/15) 15g = 345/15 25/25 100/25 g = 23 A = 4 4x = 124 5s + s = -48 96 = -3y

  7. Division Equations To solve division equations, use the multiplication property of equality. Remember that multiplication and division are inverse operations. 7 x b/7 = 21 x 7 (x7)n/7 = 68 (x7) B = 147 n = 476 X/12 = -9 y/8 = 56 5 = w/-13

  8. Two Step Equations Solve for any Addition or Subtraction (constant) Solve for any Multiplication or Division (coefficient) -7x – 12 = 16 63/x = 9 +12 +12 63x (x) 9(x) -7x/-7 28/-7 63=9x 63/9 9x9x X = - 4 7 = x 21 = 8x + 5 34 = 10 + 4c 3 – x/9 = 1

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