Test 3
Test Grade________
Online MAT 122 fall 2015
Name:
Directions: This take home exam is intended to measure each individual student’s mastery of the topics in chapter 9. Please
do not seek help from any individuals 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 November 9 th . It
needs to be submitted in Canvas (ONLY .pdf, .doc, or .docx files).
1. (8 pts) Simplify the following:
32x 5 y 8 z 2
2. (6 pts) If f (x) = 2x − 7 find f (11) . Round to the nearest hundredth.
3
3. (6 pts) Simplify: (16x 4 ) 2
4. (6 pts) Evaluate 4 3 −27
Test 3
MAT 122 fall 2015
5. (6 pts) Simplify
3
54a 7
6. (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?
7. (6 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?
Test 3
MAT 122 fall 2015
8. (8 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.)
Problems 9-12 are Matching questions. Match each term with its definition. (3 pts each)
9)
10)
y= x+2 −3
y= x−3+2
a)
7
10
b)
7
8
4
3
2
1
11)
3 3 27 − (−4)2
−32 − (−1)2
-5
-4
-3
-2
-1
0
1
2
3
4
5
-1
-2
-3
c)
-4
4
3
2
1
-5
3 27 − (−4)
(−3)2 − (−1)2
3
12)
2
-4
-3
-2
-1
0
-1
-2
-3
d)
-4
1
2
3
4
5
Test 3
MAT 122 fall 2015
13. (8 pts) Solve and check:
n −1 − 6 = 8
14. (8 pts) Solve and check:
3x − 5 = x + 2
15. (7 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 3
MAT 122 fall 2015
Problems 16-18 are True/False questions. Indicate whether the statement is true or false.
(3 pts each)
16.
3
5 ⋅ 3 5 = 3 25
17.
3
72 = 7
18.
22 6
= 2
1
23
3
2
1
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