4
Structure of Exam
The semester I final exam will be at 8:20 on Monday December 11th. It will be 2 hours in length and consist of questions covering any of the topics we studied during the entire first semester. You may use your graphing calculator on the exam but you will be required to support your answers with work to all questions.
Sources and suggestions for studying
1. Begin your review NOW by re-trying questions from past exams, quizzes, and review sheets (including the semester I final exam review questions below), focusing upon the questions you missed. Be careful not to limit your study only to those troubled areas as you may need to refresh your memory in other areas where you performed well in the past. See the class website for blank copies of old tests and quizzes.
2. As you come upon concepts where you need re-teaching…
Reread your notes…you might be surprised how sometimes things become clearer the second time aroundJ Retry the class examples or some previous homework questions.
3. If that doesn’t work then SEE YOUR TEACHER FOR HELP.
4. Continue to revise your class notes and re-try previous homework problems or ones which were not assigned for homework.
Good luck and remember to please see us if you any questionsJ!
Mr. Armstrong and Ms. Cheng
Review Questions for Semester I Final Exam
1. Determine the slope, and the x and y intercepts of the graph of the equation .
2. Write the equation in slope intercept form and also in standard form.
3. Graph each equation.
(a) (b) (c)
(d) (e) (f)
4. Consider the the function where .
(a) Sketch a graph of g(x).
(b) Determine the domain and range of g(x).
5. Consider the relations Q and T defined by Q: and
T: .
(a) State the range of Q and the domain of T.
(b) Determine which (if any) of the relations are functions giving justification for your
answer.
6. A company is marketing a new product and is trying to determine the price that will
yield the maximum profit. The following shows the profit on the sale of 100 items at various prices.
(a) Using your graphing calculator determine the equation of the line of best fit for the data. Use Price (X) as the independent quantity and Profit (Y) as the dependent quantity. Both quantities are measured in dollars. Write numbers to 2 decimal places.
(b) Determine the value of the correlation coefficient.
Write a few sentences in which you interpret the significance of this value in the context of this situation.
7. Solve the system using the method of substitution or elimination. Interpret your solution graphically.
8. Consider the system of equations given by .
Solve the system using the method of substitution.
9. Show the solution set graphically to each inequality.
(a) (b) (c)
10. Simplify each expression fully. Leave exact answers without any negative exponents.
a.) b.) c.)
d)/ e)
f.)
/ g)
h.)
/ i)
j)
/ (k)
l)
/ m)
(n)
11. A computer engineer earned $35,000 per year in 1996. Every year she is given a 5.5% raise from her previous year’s salary. Let n be the number of years since 1996 and S be her salary.
a.) Write an equation for her salary S as a function of n. ______
b.) Find the minimum value of n for the engineer’s salary to be at least
$70,000 per year. Describe in detail how you got your answer.
12. Michelle wants to build a swimming pool surrounded by a sidewalk of uniform width. She wants the dimensions of the pool and sidewalk to be 16 meters by 20 meters. If the pool must have an area of 192 square meters how wide should the sidewalk be?
a.) Write a quadratic equation that describes the situation. Be sure to define all variables.
b.) Solve your equation in (a) to find the width of the sidewalk. Be sure to check your answer.
13. Factor each expression completely.
(a) (b) (c)
(d) (e) (f)
(g) (h) (i)
14. Consider the equation where a, b, and c are constants. Demonstrate how the zero product property is used to solve the equation for x in terms of a, b, and c. (Be sure to state the solutions)
15. Solve each polynomial equation. Be sure to indicate any multiple roots.
(a) (b)
(c) (d)
16. Multiply.
(a) (b)
(c) (d)