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Prerequisites
Sections P.4 and P.5
Slope of a Line
 Slope of a non-vertical line
 Slope of a vertical line
 Slope of a horizontal line
Forms of Equations of Lines
 General Form
Ax + By + C = 0
 Standard Form
Ax + By = C
 Slope Intercept
Form
y = mx + b
 Point-slope Form
y – y1 = m(x – x1)
 Vertical Line
x = a
 Horizontal Line
y = b
Forms of Quadratic Equations
 General Form
ax2 + bx + c = 0
 Vertex Form
a(x – h )2 + k = 0
Parallel and Perpendicular Lines
 Parallel  Perpendicular
Graphing Linear Equations
 Construct a table.
 x-intercepts and y-intercepts
 Slope and y–intercept
 Graphing calculator
 Recognizing vertical and horizontal lines
Solving Linear Equations
 Graphing the equation
 Finding the x-intercept.
Solving Quadratic Equations
 Finding the x-intercepts.
 Extracting square roots.
 Completing the square.
 Quadratic Formula
Solving Equations by Finding
Intersections
Solve |2x – 1| = 6
 Algebraically  Graphing
Application
 Sophie plans to invest 18,000,000w, putting
part of the money x into a savings that pays
5% annually and the rest into an account
that pays 8% annually.
 What are the possible values of x.
 If she wants to invests x dollars at 5%, write
an equation that describes the total interest I
received from both accounts at the end of the
year.
 How much must she invest at 5% to earn
1,020,000w in one year?
Homework
 Pages 36 – 37
#7-25 odd, 33, 35, 41, 45
 Pages 46-47
#47-56 all, 59, 61

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Pc sections p.4-p.5

  • 2. Slope of a Line  Slope of a non-vertical line  Slope of a vertical line  Slope of a horizontal line
  • 3. Forms of Equations of Lines  General Form Ax + By + C = 0  Standard Form Ax + By = C  Slope Intercept Form y = mx + b  Point-slope Form y – y1 = m(x – x1)  Vertical Line x = a  Horizontal Line y = b
  • 4. Forms of Quadratic Equations  General Form ax2 + bx + c = 0  Vertex Form a(x – h )2 + k = 0
  • 5. Parallel and Perpendicular Lines  Parallel  Perpendicular
  • 6. Graphing Linear Equations  Construct a table.  x-intercepts and y-intercepts  Slope and y–intercept  Graphing calculator  Recognizing vertical and horizontal lines
  • 7. Solving Linear Equations  Graphing the equation  Finding the x-intercept.
  • 8. Solving Quadratic Equations  Finding the x-intercepts.  Extracting square roots.  Completing the square.  Quadratic Formula
  • 9. Solving Equations by Finding Intersections Solve |2x – 1| = 6  Algebraically  Graphing
  • 10. Application  Sophie plans to invest 18,000,000w, putting part of the money x into a savings that pays 5% annually and the rest into an account that pays 8% annually.  What are the possible values of x.  If she wants to invests x dollars at 5%, write an equation that describes the total interest I received from both accounts at the end of the year.  How much must she invest at 5% to earn 1,020,000w in one year?
  • 11. Homework  Pages 36 – 37 #7-25 odd, 33, 35, 41, 45  Pages 46-47 #47-56 all, 59, 61