Fundamentals of College Algebra

Fundamentals of College Algebra

1. Section 1

   • 1.2 Visualizing Relationships in Data
     • Independent Variable: x- Axis, Input, Domain
     • Dependent: y-Axis, Output, Range
     • Scatter plot
     • Example
   • 1.4 Definition of Function
     • A Function is a relation in which each input gives exactly one output
       • Example
     • Uses data tables
   • 1.5 Function Notation
     • y=f(x)
     • Constant Graph
     • Linear Graph
     • Absolute Value
     • Quadratic
   • 1.6 Working with Functions: Graphs
     • These are the graphs you get for different
     • 1.5 and 1.6 are very similar
   • 1.7 Functions: Getting Information from the Graph
     • Domain and Range from a Graph
   • 1.9 Making and Using Formulas
     • PV=nRT Solve for T.

2. Section 2

   • 2.2 Linear Functions: Constant Rate of Changed
     • Slope, Rise over Run
     • Slope Form: Y= mx + b
   • 2.3 Equations of lines: Making Linear Models
     • Point Slope Form: (y - y1)= m(x - x1)
     • General Form: 0=Ax + By + C
     • Horizontal- Intercept Set y=0, plug it in, and solve for x
     • Vertical- Intercept Set x=0, plug it in, and solve for x.
   • 2.4 Varying the Coefficients: Direct proportionality Parallel & Perpendicular Lines
     • A line has a n equation g(t) = 2/3t - 4
       • What is the slope? 2/3
         • What is the slope a parallel line? 2/3
           • What is the slope of a perpendicular line? -3/2
     • y=kx+0
     • A Horizontal line has a slope of 0
       • A Vertical Line does not have a slope.
   • 2.5 Selecting & Writing Line of Best Fit
     • Example
     • You pick two points to use to to find the equation of the line of best fit.
   • 2.7 Linear Equations: Points of Intersection
   • 2.6 Linear Equations: Getting Information from a Model
     • R = 500 - 0.25Q; 100
       • Find Q in the equation above using the given R value.
     • Using model's like this one

3. Tool Kit

   • Linear Inequalities & Interval Notation
     • {-1 <x<2}
     • Example
   • Solving Basic Equations
     • 2(3+x)=2(4x-1)-10
     • Example

4. 7.1 Solving Systems of Linear Equations in two Variables

   • x = 1/2y + 3 8x +3y =-11. substitute x into the other equation. 8(1/2y + 3) +3y = -11. Then solve for y

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