Download Exam 3 Sample 3 - Seattle Central College

Math 085
Exam 3 Ch 8.1 -8.6 & 6.6 - 6.8 & 9.1 - 9.3 SAMPLE 3
Fall 2007 SSCC Dressler CALCULATOR OKAY/NO NOTES/NO BOOK/90 MINUTES
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Find all square roots of the number.
1) 9
1)
Simplify.
2) -
484
2)
1
Decide whether or not the radical expression represents a real number.
3) -
3)
-116
Simplify.
4) 7 22
4)
Simplify by factoring.
5)
4m 21
5)
2
Multiply and then simplify by factoring, if possible.
6)
10 10x
7)
3x2 y
6)
6x7y6
7)
Simplify.
8)
72
2
8)
3
9)
36x3
4x
9)
10)
29
x4 y4
10)
4
Rationalize the denominator and simplify.
4x
11)
5
11)
Perform the indicated operation.
12)
5a - 3 125a - 2 45a
13) 4 3( 11 +
12)
3)
13)
5
Rationalize the denominator and simplify.
3-5
14)
7-7
14)
Solve the problem. Give an exact answer and an approximation to the nearest tenth.
15) The diagram below shows a rope connecting the top of a pole to the ground. How tall is
the pole?
24 yd
18 yd
6
15)
Solve the equation.
6
4
16)
=
+ 3
x
x
17)
16)
3
y
=
y
8 y - 48
17)
7
Solve the problem.
18) Frank can type a report in 6 hours and James takes 7 hours. How long will it take the two
of them typing together?
18)
19) Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 188 miles in the
same time that Dana travels 176 miles. If Chuck's rate of travel is 3 mph more than Dana's,
and they travel the same length of time, at what speed does Chuck travel?
19)
8
Find the ratio. Simplify, if possible.
20) Mara can type 2240 words in
2
hour (40 minutes). How many words per minute can she
3
20)
type?
Simplify.
21)
1 1
6 y
21)
6-y
6
9
Write standard form and identify a, b, and c.
22) 2x2 = 3x - 2
22)
Solve the equation.
23) x2 + 4x - 21 = 0
23)
Solve the equation. Express radicals in simplest form.
24) 4x2 - 576 = 0
24)
10
25) (r + 3)2 = 13
25)
Solve the equation by completing the square.
26) z 2 + 12z + 23 = 0
26)
Solve the problem. Round to the nearest tenth, if necessary.
27) A rock falls from a tower that is 352 feet high. As it is falling, its height is given by the
formula h = 352 - 16t2 . How many seconds will it take for the rock to hit the ground (h=0)?
11
27)
Solve. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula.
28) 2n 2 = -4n - 1
28)
29) 64k2 - 49 = 0
29)
30) 12y2 + 23y + 10 = 0
30)
12
Answer Key
Testname: EXAM 3 CH 8.1-8.6 & 6.6-6.8 & 9.1 -9.3 SAMPLE 3
1)
2)
3)
4)
3, -3
-22
No
7 22
5) 2m 10 m
6) 10 x
7) 3x4 y3 2xy
8) 6
9) 3x
10)
29
x2 y2
11)
4x 5
5
12) -20 5a
13) 4 33 + 12
- 21 + 35 + 5 7 - 7 3
14)
42
15)
252 yd ≈ 15.9 yd
2
16)
3
17) 12 , 12
42
18)
hr
13
19) 47 mph
20) 56 words/minute
-1
21)
y
22) 2x2 - 3x + 2 = 0; a = 2, b = -3, c = 2
23) -7, 3
24) ±12
25) -3 + 13, -3 - 13
26) 6 ± 13
27) 4.7 sec
-2 ± 2
28)
2
29)
7
7
,8
8
30) -
5
2
,4
3
13