algebra homework due ASAP
CHAPTER 8 ALGEBRA HOMEWORK
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1.
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Simplify the expression without a calculator. Assume variables are positive.
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a. |
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d. |
6 |
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b. |
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e. |
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c. |
|
____ 2.
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Could this set of three numbers represent the sides of a right triangle?
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a. |
undefined |
d. |
yes |
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b. |
no |
e. |
not enough information to determine |
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c. |
No Solution |
____ 3.
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Simplify. Assume that the variables are positive.
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a. |
|
d. |
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b. |
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e. |
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c. |
|
____ 4.
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Evaluate the function for
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a. |
no real number |
d. |
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b. |
2 |
e. |
3 |
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c. |
1 |
____ 5.
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Simplify the expression without a calculator.
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a. |
-45 |
d. |
45 |
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b. |
2,025 |
e. |
0 |
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c. |
44 |
____ 6.
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A rectangle has length 7 and width 4. Find the length of a diagonal. Round your answer to two decimal places. |
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a. |
8.06 |
d. |
3.32 |
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b. |
7.28 |
e. |
4.69 |
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c. |
5.29 |
____ 7.
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Solve and check:
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a. |
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d. |
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b. |
|
e. |
- |
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c. |
No solution |
____ 8.
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Find the equation of the line passing through the points. (2, 6) and (4, 10) |
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a. |
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d. |
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b. |
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e. |
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c. |
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____ 9.
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For the pair of points, find the distance between the points. (-4, -2) and (4, -4) |
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a. |
8 |
d. |
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b. |
10 |
e. |
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c. |
|
____ 10.
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For the pair of points, find the distance between the two points. Simplify the expression. (2, 6) and (4, 10) |
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a. |
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d. |
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b. |
|
e. |
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c. |
6 |
____ 11.
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A safe ladder position for reaching 8 feet up a wall is 2 feet from the base of the ladder to the wall. How long a ladder is needed? Round your answer to the nearest tenth. |
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a. |
8.2 ft |
d. |
5.7 ft |
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b. |
10.2 ft |
e. |
5.2 ft |
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c. |
7.2 ft |
____ 12.
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Find the equation of the line passing through the points. (2, 5) and (10, 9) |
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a. |
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d. |
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b. |
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e. |
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c. |
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____ 13.
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Solve and find x-roots by using the quadratic formula:
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a. |
3, -2 |
d. |
3, 5 |
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b. |
-1, 1/4 |
e. |
5, 0 |
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c. |
2, 4 |
____ 14.
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Solve and find x-roots by using the quadratic formula:
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a. |
1, 3 |
d. |
1, –2 |
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b. |
–3, 3 |
e. |
1, 5 |
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c. |
No real number solution |
____ 15.
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How high do we need to be on Earth to see 7 miles? On Earth, the distance to the horizon is given by , where d is in miles to the horizon and h is in feet above sea level. |
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a. |
feet |
d. |
feet |
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b. |
feet |
e. |
feet |
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c. |
feet |
____ 16.
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For the pair of points, find the distance between the two points. Simplify the expression. (2, 5) and (10, 9) |
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a. |
|
d. |
|
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b. |
|
e. |
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c. |
4 |
____ 17.
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The sides of the following equilateral triangle are length 6. Find the height x of the triangle. Round your answer to 2 decimal places.
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a. |
5.66 |
d. |
5.74 |
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b. |
6.71 |
e. |
5.20 |
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c. |
8.49 |
____ 18.
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Solve for x-roots.
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a. |
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d. |
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b. |
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e. |
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c. |
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____ 19.
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Could this set of three numbers represent the sides of a right triangle?
|
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a. |
not enough information to determine |
d. |
undefined |
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b. |
yes |
e. |
No Solution |
|
c. |
no |
____ 20.
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Simplify the expression.
|
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a. |
-100 |
d. |
10 |
|
b. |
-10 |
e. |
100 |
|
c. |
-9 |
8
x
8x
4
x
4x
6
x
6x
4
x
4x
4
x
4x
4
4
x
44x
(5).
f
(5).f
()9
fxx
=-
()9fxx
5
5
2775
2775
07–67
v
=-+
07–67v
169
7
1697
7 + 6
7
7 + 67
169
49
16949
55
7
557
22
yx
=+
22yx
1
2
2
yx
=+
122yx
22
yx
=-+
22yx
22
yx
=--
22yx
1
2
2
yx
=-+
122yx
25
25
217
217
417
417
22
22
52
52
6
6
25
25
1
4
2
yx
=-+
142yx
24
yx
=+
24yx
1
4
2
yx
=+
142yx
4
2
75
3
xy
xy
-
42753xyxy
22
yx
=-+
22yx
24
yx
=-+
24yx
2
–4+30
xx
=
2–4+30xx
3
2
h
d
»
32hd
1
34
4
1344
2
2
3
223
2
10
3
2103
2
32
3
2323
2
31
3
2313
2
75
x
275x
810
810
45
45
240
240
54
54
(21)(59)0
xx
+-=
(21)(59)0xx
111
or
36
xx
=-=
111 or 36xx
19
or
25
xx
=-=
19 or 25xx
16
or
211
xx
=-=
16 or 211xx
15
or
39
xx
==-
15 or 39xx
5
x
-
5x
16
or
511
xx
=-=-
16 or 511xx
(
)
7,24,25
7,24,25
100
-
100
75
3
x
753x
25
y
25y
(
)
5,15,23
5,15,23