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MCC
Math Dept

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MAT 082
MAT 090
MAT 120
MAT 122
MAT 142
MAT 150
MAT 156
MAT 212
MAT 282

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Description ~ Materials ~ Attendance ~ Homework ~ Quizzes ~ Tests/keys ~ Grading ~ Final Exam ~ Classroom Conduct ~ Assistance ~ Calendar

Review of Beginning Algebra (CH 9)

Some topics will have pencasts related to them, these will be links to the actual pencast on the Livescribe website.

9.1

9.2

9.3

9.4

9.5

9.6

9.7

9.1 Operations with Real numbers

Key points:

• absolute values of rational numbers
• operations using positive and negative numbers
• operations using fractions
• powers of positive and negative numbers
• order of operations (PEMDAS)
• translating an English phrase into math symbols
• applications involving these concepts

~Lecture notes from instructor (Mobi file) -links on Calendar
~Lecture notes from students (Livescribe smartpens) -links on Calendar
~Student questions from homework

9.2 Properties of Integral Exponents

Key points:

• the product rule
• the quotient rule
• the zero-exponent rule
• negative exponents
• the power rule
• power of a product
• power of a quotient
• simplifying exponential expressions

~Lecture notes from instructor (Mobi file) - links on Calendar
~Lecture notes from students (Livescribe smartpens) -links on Calendar
~Student questions from homework

9.3 Solving Linear Equations and Inequalities

Key points:

• solving linear equations
• removing fractions from linear equations to make solving easier (wipe out using LCM)
• Careful when the variables drop out! - either a TRUE or a FALSE statement is left. If TRUE: {x|x is any Real Number} If FALSE, then { } (empty set)
• solving linear inequalities
• showing solutions to equations and inequalities
  • Numerically (set notation if = sign, or interval notation if < or >)
  • Graphically (pt on a number line if = sign, shaded range if < or >)
  • Algebraically (set builder notation)

~Lecture notes from instructor (Mobi file) - links on Calendar
~Lecture notes from students (Livescribe smartpens) -links on Calendar
~Student questions from homework

9.4 Solving Absolute Value Equations and Inequalities

Key points:

• Solving absolute value equations
• Solving absolute value inequalitiesEx1
• Solving absolute value inequalities Ex2
• Solving absolute value inequaltiies Ex3

Link to the online Module covering Solving Absolute Value Inequalities and Introduction to Functions

~Lecture notes from instructor (Mobi file) - llinks on Calendar
~Lecture notes from students (Livescribe smartpens) -links on Calendar
~Student questions from homework

9.5 Function Review

Key points:

• Intro to functions
• determine whether a relation is a function
  • numerically - can't repeat domain values (x's)
  • graphically - passes the vertical line test
  • algebraically - solve eqn for y and get only 1 eqn
• Evaluate a function
  • algebraically - f(3) if f(x) = 2x + 1
  • graphically - find the y value of the point on the line
  • numerically - looking at a set of ordered pairs
• obtain information about a function from its graph
  • domain
  • range
  • value of the function at a point on the graph
• Identify the domain of a function in its Algebraic form
• combining functions
  • addition
  • subtraction
  • multiplication
  • division

~Lecture notes from instructor (Mobi file) - llinks on Calendar
~Lecture notes from students (Livescribe smartpens) -links on Calendar
~Student questions from homework

9.6 Graphing Linear Equations, Linear Functions, and Absolute Value Functions

Key points:

• Graphing linear equations
  • by plotting 5 points
  • by finding the x-and y-intercepts
  • by using the slope intercept form: y=mx+b
• Graphing absolute value functions
  • by plotting points
  • make sure to graph the vertex

~Lecture notes from instructor (Mobi file) - links on Calendar
~Lecture notes from students (Livescribe smartpens) -links on Calendar
~Student questions from homework

9.7 Solving Systems of Linear Equations and Inequalities

Key points:

• Determine whether an ordered pair is a solution to a system of linear equations
• Solve a system of linear equations
  • by graphing
  • by using the substitution method
  • by using the addition (elimination) method
  • choose the best method
• Identify systems that have no solution or an infinite number of solutions
• Graph a system of linear inequalities, Ex 2
  • dotted or solid line
  • shade above or below the line
• Solve applied problems involving systems of linear equations

~Lecture notes from instructor (Mobi file) - links on Calendar
~Lecture notes from students (Livescribe smartpens) -links on Calendar
~Student questions from homework

 

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