Chapter 7_ Sample Exam
Please answer all the questions and show work where appropriate.
1. Evaluate )2(−f given 254
152
)( 2
2
−
−−
=
x
xx
xf .
2. Simplify and state the restrictions to the domain: 352
6
2
2
−
−
−−
x
x
xx
3. Divide: 8253
19
44
253
2
2
2
2
+
−
−
÷
+−
−−
x
x
x
x
x
xx
4. Add: 4
8
22
3
2
−
+
−
+
+
x
x
x
x
x
5. Subtract: 32
2
32 22
−
+
−
−+
x
x
x
x
x
6. Simplify:
49
11
1
7
1
2−
−
x
x
7. Solve 5
1609 +
=C
F for C.
8. The sum of the reciprocals of two consecutive odd integers is 3
4. Set up an
algebraic equation and use it to find the two integers.
9. Norm can paint the office by himself in 5 hours. Cliff could do the same job in 7
hours. If they work together how long will it take them to paint the office?
10. An executive went on an 8 hour business trip that required a 165 mile bus ride to
the airport then another 2750 miles by airplane. If the airplane speed was 10
times that of the bus, how fast was it moving?
