MATH 97 Test – SAMPLE FINAL Score ______
(Chapters 2, 4-7, Chapter 8 bonus)
Your #______Last Name ______First Name ______pt values in ( )
Please show all of your work to ensure full credit. Each problem is worth 1 –2 points, listed in bold at the end of each problem. Place answers in the spaces provided to the right, when appropriate.
1. Answer the following questions about the graph below.
a) Write the domain in “interval” format ______(1)
b) Write the range in “interval” format? ______(1)
c) Does the graph describe a function? ______(1)
2. Given the following sequence: 7, 16, 27, 40, 55, …..
a) What are the 1st differences ______(1)
b) What is the 2nd difference ______(1)
c) Use your calculator’s quadratic regression feature to write the equation ______(1)
3. Simplify the following square root problem (do NOT use decimal answers).
a) Ans: ____________(1)
b) Ans: ____________(1)
4. Two small children weighing 40 lbs and 60 lbs sit on one side of a seesaw. The 40lb child sits 6 feet from the balancing point (fulcrum) and the 60 lb child sits 8 feet from the fulcrum. How far from the fulcrum would a 100 child have to sit to make the seesaw balance?
______(2)
5. Given the following table of data name the a) slope, b) y-int, and c) write the equation:
a)______(1)
b) ______(1)
c) ______(1)
6. Dave keeps track of how many hours he studies for each math test and then records the score on the test. The ordered pairs below show the results for five tests. The first number in the ordered pair represents the hours he studied for a test and the second number represents his score on the test. Use your calculator’s linear regression feature to:
a) Calculate the correlation coefficient for the data. a) ______(1)
b) Write the equation for the line of best fit. b) ______(1)
(Round decimals to one place.)
c) Predict the score he will receive on the next test if he c) ______(1)
studies 5 hours.
d) Predict how many hours he will need to study to obtain d) ______(1)
a score of 100.
(2,45) (4,80) (4,75) (6,83) (7,92)
7. Refer to the graph of f(x) = –2x2 + x + 1 below:
a) Name the x intercepts: ______(1)
b) Name the y-intercept: ______(1)
c) Name the vertex: ______(1)
d) Name the domain: ______(1)
e) Name the range: ______(1)
8. Solve each by the method indicated. We sure to SHOW YOUR WORK:
a) Completing the square: x2 – 8x = –7 ______(2)
b) Factoring: x2 – 6x + 8 = 0 ______(2)
c) Quadratic formula: x2 + 6x - 8 = 0 ______(2)
9. Simplify:
a) (5 + 12i) (5 – 12i) ______(1)
b) ______(1)
10. Use your calculator’s quadratic regression feature to write the equation of the parabola that
passes through (3,0), (-2,0) and (-3,12). Write in form of ax2 + bx + c = 0
______(2)
11. Find x. ______(1)
12. Simplify: ______(1)
13. Simplify: ______(2)
14. When Tom shovels all the sidewalks around the school it generally ______(2)
takes him about 5 hours. When Susan shovels, it takes her 4 hours
when working alone. How long will it take them working together?
15. Add & simplify if necessary: ______(2)
16. Solve for x: ______(2)
POTENTIAL BONUS PROBLEMS:
1. Simplify and leave no negative or zero exponents:
a) ______
b) ______
2. Simplify:
a) ______
b) ______
3. Simplify and write answer as a positive, rational exponent:
a) ______
b) ______
c) ______
4. Multiply and simplify: ______
5. Rationalize the denominator: ______
Test M97 SAMPLE FINAL F06 Page 1 Pts This Page ______