Test 2
Test Grade________
Online MAT 122 spring 2015
Name:
Directions: This take home exam is intended to measure each individual student’s mastery of the topics in chapter 8 and Appendix E and F. Please do not seek help from any individuals except your instructor and please do not use any resources except your textbook, class notes, homework, and class handouts. If there is evidence of one student copying answers from another student’s exam, then all students involved will be docked a significant amount of points on the exam. If appropriate work is not shown, you will NOT receive credit. This test is due by midnight on October 13th . It can be emailed to me or submitted in Canvas (ONLY .pdf, .doc, or .docx files). 1. (8 pts) Simplify the following:
32x 5 y 8 z 2
2. (6 pts) Graph f (x) = x − 1
3. (4 pts) State the domain and range of the graph in #2.
Test 2
MAT 122 spring 2015
4. (6 pts) If f (x) = 2x − 7 find f (8) . Round to the nearest hundredth.
5. (6 pts) Simplify: (4x 2 )−
( −4x )
2
1
2 − 2
6. (6 pts) Simplify:
7. (6 pts) Simplify
1
3
54a 7
Test 2
MAT 122 spring 2015
8. (10 pts) On an xy-coordinate plane, the position of Dallas, TX is given by the
coordinates (-700 miles, 600 miles) and the position of Orlando, FL is given by the
coordinates (700 miles, -500 miles). Approximately how far away is Dallas from
Orlando?
9. (8 pts) The speed that a tsunami can travel, in kilometers per hour, is modeled by the
equation s = 356 d , where d is the average depth in kilometers. What is the speed of the
tsunami when the average water depth is 0.82 kilometers?
10. (10 pts) Firefighters have a 16 foot extension ladder. In order to reach 12 feet up a
building, how far away from the building should the foot of the ladder be placed? (Hint: Use
the Pythagorean Theorem.)
Test 2
MAT 122 spring 2015
11. (10 pts) Solve and check:
n −1 − 6 = 8
12. (10 pts) Solve and check:
3x − 5 = x + 2
13. (10 pts) The length of the diagonal of a TV is given by D = L2 + W 2 , where L and W
are the length and width of the TV. What is the length of the diagonal of a TV that is 40
inches long and 30 inches wide?
Test 2
MAT 122 spring 2015
EXTRA CREDIT
1. (2 pts) Both the square root and the cube root of 1 are integers. The next such
number is 64. What is the next number whose square root and cube root are both
integers?
2. (2 pts) Solve
x2 − 9 = 2