SUMMER WORK

Use these links to review some of the material you learned in Algebra II.    Study what you need to study.
Exercises to work:
Click on the topic and follow the directions there.  Some of the links have exercises I have asked you to do.
Work all the problems by "Problems to Work" in these sections.
Then worki through the practice quizzes and tests at the end of the chart below.
Instructions:
As you work, write out the answers to the questions along with your work to be turned in to me in August for your first grade of the year.  Write them up neatly on notebook paper.
For computer generated questions, you may work them on the computer.  Use your notebook paper for scratch paper and turn that in for your work on these.  Write down the sections you worked through.  I grade for accuracy as well as effort.
You can email me from the bottom of the page if you need more information.
A test will be given on this material the first week of school.
 

Calculator Work	Midpoint Formula	Equation of Circle	Graphing Lines	Linear Functions
Equations of Lines	Solve equations of all types	Practice Quizzes Do all the practice quizzes	Algebra Test II Work out all problems.  Ignore references to scanners.

 
 
 
 

• Calculator Work

(If you have trouble with any of these, email me with questions.  Be sure to indicate what type of calculator you have.)
• Set a window and graph a function
• Problems you should be able to graph on your calculator.  
  

• Enter data list, graph a scatter plot, and find a regression line for a scatter plot with the TI-83 calculator
• More instructions on how to enter a scatter plot into a TI-83 or a TI-89 and then find a regression equation.
• Problem to work  (click on the highlighted link)
• Problem to Work:  Curve fitting (Do this example on your calculator.  Use "cubic regression".)
• Graph a circle by solving for y and separating it into two sentences
• Example:  x² + y² = 9
  
Begin by solving the equation for y.  Ans:

Graph  in Y1  and   in Y2.  Notice how the graph works.
Problem to Work:  Graph  (x - 3)² + (y - 1)² = 25  in your calculator.
• Find solutions to equations (instructions and more instructions)
• Problem to Work:
  
Find all the roots for the following:
1.  2x³ - 3x + 2 = 0  (1 solution)
2.  x² + 3 = 5x  (2 solutions)
• Use the ZOOM IN features
  
Zoom in on the zeros of the last two equations above.
• Find points of intersection of two graphs using 2nd CALC INTERSECT
• Problem to Work:  Approximate the intersection points for
  
y = x² - 3x - 4
y = x³ + 3x² - 2x - 1
• From a list of data, construct a line graph, a stem and leaf plot, and a histogram
• Problems to work (click on the highlighted link)   
   




• Midpoint Formula




• Problem to Work:  Find the midpoint of the points (-5, -3) and (9,3)

 

• Equation of a Circle
• (x - h)² + (y - k)² = r², where (h,k) is the center of the circle and r is the radius of the circle.
• Problems to Work  (click on the highlighted link)
 



• Graphing Linear Functions
• How do you graph linear equations?
 
• Linear Functions
• Characteristics of a linear function
• Finding the Equation of a Line (Pay close attention to the point-slope form of the equation. )
• Problems to Work in finding equations of lines  (click on the highlighted link)
• Follow directions on this page.
• Linear Functions
• Java applets showing linear functions
• Linear Models
 
 
 
 
• Solve equations
• Solve linear equations
• Problem to Work:
  
3x - 6 = 0
Answer: x = 2
• Solve equations involving fractions and radicals
• Problems to Work   (click on the highlighted link)
• Solving Quadratic Equations  [Problems to Work are on the page linked]
  
• Find points of intersection of two functions
• Problem to Work:  Find the intersection point(s) for y = x + 2 and y = x² - 2x - 2

Try this one algebraically as well as with the calculator.
Answer:  (-1,1) and (4,6)
• Solve quadratic equations by factoring
• Completing the Square
• Problems to Work:  Practice in completing the square (Work three of them)
  
• Solve polynomial equations by factoring
• Problem to Work:  Solve x³ - 3x² - 3x + 9 = 0
  
Answer:  x = 3, Ö 3, -Ö 3
• Solve Equations with Absolute Values
• Absolute Value & Distance
• Problems to Work:  Do the Introductory  problems.
• Problems to Work   (click on the highlighted link)
 Solve the equations
• Summaries and Review Problems
• Problems to Work:  Review questions  (Go to Calculus Book I button, then Functions and Geometry, then (1)Lines, (2)Distance, (4)Functions (only the Roots part), and (5)Plotting Points.)
  Do the first two problems in each section.
  
• Problems to Work   (click on the highlighted link)

Go to Precalculus Page
Go to Precalculus Lesson Page
Go to email