Mat 0213.010 – Intermediate Algebra
Chapter 14 Test
NAME:
DUE: December 1, 2008 INSTRUCTIONS: This is a take-home exam. You may work in groups, but you must turn in your own work. If the instructions do not include the phrase “Approximate the expression”, then give an exact answer. Assume the expression under the radical is nonnegitive. Please write your final answer in the space provided on the test form. If you would like your work to be considered (for partial credit) please include it when turning the test in.
CHAPTER 14
NAME_____________________________
TEST FORM A CLASS_____SCORE_____GRADE_____ ___________________________________________________________________________ 1.
ANSWERS
Find the square roots of 169.
1.
Simplify. 2.
25
3. − 16
2.
Approximate the expression involving square roots to three decimal places.
3. 4.
4. 7.
75
5. − 15.1
Identify the radicand in
6.
13 ⋅ 2 46.1
x4 − 3 .
5. 6.
Determine whether each expression is meaningful as a real number. Write “yes” or “no.”
7. 8.
8.
23
9.
−14 9.
Simplify.
10.
10.
y2
11.
225y 2
11.
Multiply. 12.
12.
3 14
13.
x −8 x +8
14.
Simplify by factoring. 14.
72
15.
16 y − 16
16.
m7
10 45
15. 16.
Multiply and simplify. 17.
13.
18.
6ab2 12ab
17. 18.
Simplify. 19. 19.
72 18
20.
324 a2
20.
267 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
CHAPTER 14
NAME_____________________________
TEST FORM A ___________________________________________________________________________ ANSWERS
21.
Rationalize the denominator. 2 3
21.
22.
Divide and simplify.
23.
23.
24.
30
24.
24
48 x3 y 50 xy
Add or subtract.
25.
25.
26.
Simplify.
27.
27.
(8 − 6 )
28.
29.
Rationalize the denominator:
29.
5x y
22.
2 28 + 6 28
2
26.
28.
3−
1 3
( 7 − 5 )( 7 + 5 ) 1 3+ 2
.
30. In a right triangle, a = 10 and b = 4 . Find c. Give an exact answer and an approximation to three decimal places.
30. Solve.
31.
31.
−8 x + 6 = 10
32.
33.
x −5 = 3− x −2
33.
34. The formula r = 2 5 L can be used to approximate the speed r, in miles per hour, of a car that has left a skid mark of length L, in feet. How far will a car skid at 75 mph?
34.
32.
7x + 9 = x + 3
35.
35. A picture is 10 in. high and 8 in. wide. Find the length of the diagonal of the picture. _______________________________________________________
36.
36.
Solve: − x 2 = −225 .
37.
37.
Simplify:
m64 x
268 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.