PrerequisitesSections 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 FormAx + By + C = 0

Standard FormAx + By = C

Slope Intercept Form

y = mx + b

Point-slope Formy – y1 = m(x – x1)

Vertical Linex = a

Horizontal Liney = b

Forms of Quadratic Equations

General Formax2 + bx + c = 0

Vertex Forma(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