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2ndSemFinalRev
1. Solve:
9. Graph the function:
2. Simplify:
10. Simplify:
3. Simplify:
11. Evaluate:
4. Simplify:
12. Graph:
5. Let
and
13. Express as a single logarithm:
. Find f(g(x)).
6. Find an equation for the inverse of the relation
y=3x+4.
7. Graph the radical function
find the domain and range.
14. Solve:
, and then
15. The price per person of renting a bus varies
inversely with the number of people renting the
bus. It costs $20 per person if 27 people rent the
bus. How much will it cost per person if 34 people
rent the bus?
8. A certain gas will escape from a storage tank
according to the formula
, where e
represents the amount escaping per minute in
16. It takes a train 5 hours to get from Capitol City to
gallons, and p represents the pressure in pounds per
Johnson City when it travels 66 mi/hr. How long
square inch. What is the pressure on the gas when
would it take the train to go the same distance when
about 275 gallons per minute are escaping? Round
it travels 55 mi/hr?
your answer to the nearest tenth.
17. Decide whether the data shows inverse varation. If so, find the missing value.
x
y
0.5
10
-0.25
?
-20 -0.5
-1
-10
18. The wattage rating of an appliance, W, varies
jointly as the square of the current, I, and the
resistance, R. If the wattage is 22.5 watts when the
current is 0.3 ampere and the resistance is 250
ohms, find the wattage when the current is 0.1
ampere and the resistance is 200 ohms.
19. Which function matches the graph?
y
5
4
26. Divide:
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
27. Divide:
–2
–3
–4
–5
28. Simplify:
a.
b.
29. Add:
c.
d.
30. Simplify:
20. Graph:
31. Solve:
21. Find the vertical asymptote(s), if any, for
32. Solve:
22. Graph the rational function
33. Find the distance between point A(-4, 3) and point
C(-6, -9), then find the midpoint of
.
23. Simplify the rational expression:
34. Write the standard form of the equation of the
parabola with its vertex at (0, 0) and focus at (0, 3).
24. Multiply:
35. Graph:
25. Find the product:
36. Graph:
37. Graph:
38. Solve:
47. Find the first four terms of the sequence
.
48. Find the sum of the first 14 terms of the arithmetic
sequence, if the first term is -3 and the common
difference is 3.
39. Evaluate the factorial expression:
49. Evaluate:
40. Find the number of distinguishable permutations of
the letters TOPIC.
50. Find the sum of the geometric series:
41. You own 7 sweaters and are taking 2 on vacation.
In how many ways can you choose 2 sweaters from
the 7?
42. A single standard six-sided die is rolled. Find the
probability of rolling a number less than 6.
43. Two cards are randomly selected from a standard
52-card deck. What is the probability of getting 2
hearts or 2 numbers less than 5 (count aces as 1)?
(Round to three decimal places)
44. A coin is tossed and a die is rolled. What is the
probability that the coin shows heads and the die
shows an even number?
45. Find the median of the set of numbers:
17, 37, 39, 27, 38, 26, 28, 24, 40
46. When 1,676 voters were polled, 31% said they
were voting yes on an initiative measure. The
margin of error in the poll is
. Find the
interval that is likely to contain the true population
percent.
2ndSemFinalRev
Answer Section
1. 1
2.
3.
4.
5.
6.
y
4
3
2
1
–4
–3
–2
–1
–1
1
2
3
x
4
–2
–3
–4
7.
Domain:
; Range:
8. 2.3
y
4
3
2
1
–4
–3
–2
–1
–1
–2
–3
–4
9.
10.
11. 3
1
2
3
4
x
y
4
3
2
1
–4
–3
–2
–1
–1
1
2
3
4
x
–2
–3
–4
12.
13.
14.
15.
16.
17.
18.
19.
$15.88 per person
6 hrs
Not an inverse variation
2 watts
A
y
8
–8
8
–8
20.
21. x = 3, x = -2
y
8
6
4
2
–8
–6
–4
–2
–2
–4
–6
–8
22.
23.
2
4
6
8
x
x
24.
25.
26.
27.
28.
29.
30.
31. x = -9
32. x = -2
33. Distance =
Midpoint = (-5, -3)
34.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
–2
–3
–4
–5
35.
8
y
6
4
2
–8
–6
–4
–2
–2
–4
–6
36.
–8
2
4
6
8 x
4
5
x
y
3
2
1
–6
–4
–2
–1
2
4
6
–2
–3
37.
38.
39.
40.
41.
{(0, 2), (2, 0)}
5,040
120
21
42.
43.
44.
45.
46.
47.
48.
49.
50.
28
between 28.6% and 33.4%
-2, 2, 12, 28
231
x