General outline of Final

You may print this without printing the whole blog by clicking this more printable link and then printing off the page it takes you to. Note: this outline is based off an old final. Additional concepts discussed from geometry and like solving for powers and bases in exponential functions by employing properties of natural logs and nth roots though not mentioned below will also be tested. Please review notes on how to solve those as well as stuff on quadratics and linear equations mentioned below. It is hard for me to put a precise outline until after everything is written and I'm always fiddling with my finals even the night before.

Chapter 1

1. question involving order of operation
2. solving equations with fractions in them
3. solving percent type problems _____ % of _____ is ______ or something similar
One can write an equation of use IS over OF = % over 100 technique discussed in class
4. Using proprtional reasoning to find an unknown quantity
5. Writing equations to solve problems with consecutive integers (even, odd, or otherwise) in them

Chapter 2

6. Graphing equations
7. What is an x or y-intercepts
8. Finding them.
9. Graphing equations, determining the slope and y-intercept
10. "
11. Finding the slope and y-intercept of a line passing through two points. Writing the equation.
12. "
13. Writing the equation of a line parallel or perpendicular to a given line.
14. Writing the equation of a line parallel or perpendicular to a given line passing through a given point.

Chapter 3

15. Writing a function for an applied problem (it will be a linear function so try to determine which the independant variable (x) is in the problem and which is the dependant variable (y) that is increasing or decreasing as a result. Use this to make a chart of (x,y) ordered pairs (you won't have many) from which you can figure out the slope and also the y-intercept to write the equation. Keep in mind that the y-intercept is always the initial value so you can back track in your table to find it if you must. Write the function in f(x) = mx + b form. You might have to make a graph of this function and/or use your function to predict future values. Kinda like pg. 82, lab exercise 4 or pg.106-107,ex 16. or pg. 109/17

That last one is worth a good amount. Be sure you know what your doing.

16. Finding a linear function from a table. Section 3-3/ex 16 and hw problems 9-12
17. Writing a simple linear cost function from a word problem. Like 3-3/ex 13 and 108/4-6

Be sure to copy that purple box on page 104. It will be helpful to know if you do not already.

18. Using number 17 equation to answer a question.

19. direct, inverse, or combined variation problem
20. problem like the rocket lab. know how to imput values of time into the function to find values for the height, H(t) at those specific times, H(0) = the initial height, the rocket hits the ground where H(t) = 0 (the time is found using the quadratic equation after the function is set = to zero), the projectile reaches its maximum at t = -b/2a, so that the max height is H(-b/2a), know how to determine when at what two times a projectile will be at a certain height, either by graphing and intersecting, tabling or using the quadratic formula. Know how to sketch the graph using at least five points spread over the paraobola and labeling your axis.
P.S. once the equation is in your calculator, table setting are 2nd window. you can change what you table skips by in there. Table is 2nd graph. Intersection, zeros and value tricks are found in the calc menu under 2nd trace and finally zoom is great for getting back to a standard window(0), fitting the graphs (fit) or making a box to magnigfy.

Chapter 4

21. Interest on a loan with Apr using Apr chart. or finding the payment on a house
22. same
23. expontential growth or decay, finding the rate.
24. predicting future values
25. interest made on compounded investment. I = M - P

Chapter 5

26. solving a system of linear equations by any means you'd like
26. something with break-even point or equilibrium point
27. some other system of linear equations with like 19-36 in 5-2

Bonus.1. maybe something like example 21 on page 225 or like 13-16 on page 225

Bonus 2. something with writing system of equations for something with an area (need to solve by quadratic equation or with your graphing calculator to find the intersection) like 226/17

That's it.

This isn't a perfect outline but Its pretty much complete. Best of luck studying with all your finals.

Mr. Rosever