Fundamentals of College Algebra

Section 1
1. 1.2 Visualizing Relationships in Data
  1. Independent Variable: x- Axis, Input, Domain
  2. Dependent: y-Axis, Output, Range
  3. Scatter plot
  4. Example
2. 1.4 Definition of Function
  1. A Function is a relation in which each input gives exactly one output
    1. Example
  2. Uses data tables
3. 1.5 Function Notation
  1. y=f(x)
  2. Constant Graph
  3. Linear Graph
  4. Absolute Value
  5. Quadratic
4. 1.6 Working with Functions: Graphs
  1. These are the graphs you get for different
  2. 1.5 and 1.6 are very similar
5. 1.7 Functions: Getting Information from the Graph
  1. Domain and Range from a Graph
6. 1.9 Making and Using Formulas
  1. PV=nRT Solve for T.
Section 2
1. 2.2 Linear Functions: Constant Rate of Changed
  1. Slope, Rise over Run
  2. Slope Form: Y= mx + b
2. 2.3 Equations of lines: Making Linear Models
  1. Point Slope Form: (y - y1)= m(x - x1)
  2. General Form: 0=Ax + By + C
  3. Horizontal- Intercept Set y=0, plug it in, and solve for x
  4. Vertical- Intercept Set x=0, plug it in, and solve for x.
3. 2.4 Varying the Coefficients: Direct proportionality Parallel & Perpendicular Lines
  1. A line has a n equation g(t) = 2/3t - 4
    1. What is the slope? 2/3
      1. What is the slope a parallel line? 2/3
        What is the slope of a perpendicular line? -3/2
  2. y=kx+0
  3. A Horizontal line has a slope of 0
    1. A Vertical Line does not have a slope.
4. 2.5 Selecting & Writing Line of Best Fit
  1. Example
  2. You pick two points to use to to find the equation of the line of best fit.
5. 2.7 Linear Equations: Points of Intersection
6. 2.6 Linear Equations: Getting Information from a Model
  1. R = 500 - 0.25Q; 100
    1. Find Q in the equation above using the given R value.
  2. Using model's like this one
Tool Kit
1. Linear Inequalities & Interval Notation
  1. {-1 <x<2}
  2. Example
2. Solving Basic Equations
  1. 2(3+x)=2(4x-1)-10
  2. Example
7.1 Solving Systems of Linear Equations in two Variables
1. 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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Fundamentals of College Algebra

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