Janine's Algebra Tips

                                    "Solving different equations"

 

 

I. Equation with one variable:
 

    9x = -6(1.5 - 2x)     Given equation
    9x = -9 + 12x   1. Use the distributive property
    9x - 12x = -9 + 12x - 12x   2. Subtract 12x from both sides
    -3x = -9   3. Combine like terms
    x = 3   4. Divide both sides by -3

II. Literal equation:
  (Formula for area of trapezoid)
 

    A = (b1 + b2) h
                 2
    Solve for b2
    2A = (b1 + b2) h   1. Multiply both sides by 2
    2A = b1 + b2
     h
  2. Divide both sides by h
    2A - b1 = b1 + b2 - b1
     h
  3. Subtract b1 from both sides
    2A - b1 = b2
     h
  4. Combine like terms

III. Equation for line in point- slope form:

  Given: Line containing points with coordinates:  (3,1) and (5,2)
                                                                             (x1,y1)     (x2,y2)

  Find: Equation for the line containing the given coordinates in point-
           slope form
 

  1. Find slope (m) using this formula: y2-y1
                                                            x2-x1
 

  ----->   2-1   =   1   =   0.5                        slope = .5
                 5-3       2
 

  2. Choose one pair of coordinates (ex. (3,1)), and plug in the numbers
      in this point- slope formula:  y- y1= m (x- x1)

                                                            |
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                                                               y- 1 = .5 (x- 3)
 

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