... D
26 . C
27 . B
28 . C
29 . D
30. E
31. D
32. B
33. A
34. A
35. C
36. A
37. E
38. B
39. A
40 . D
41 . C
42 . C
43 . E
44 . B
45 . E
46 . C
47 . D
48 . C
49 . B
50. C
Solutions
1. The correct answer is (B).
Mathematics ... II Math
PRACTICE TEST 4
Answer Key
Math Level IC
1. B
2. A
3. C
4. E
5. C
6. A
7. E
8. A
9. B
10. C
11. E
12. D
13. E
14. C
15. A
16. B
17. D
18....
... C
28 . B
29 . D
30. D
31. B
32. A
33. E
34. A
35. B
36. C
37. B
38. A
39. E
40 . A
41 . D
42 . B
43 . E
44 . B
45 . E
46 . A
47 . B
48 . A
49 . D
50. B
Part VI 3 24
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32. ... area 4 times that of r, or 16 square inches.
1. B
2. A
3. B
4. C
5. E
6. D
7. C
8. D
9. D
10. A
11. E
12. D
13. D
14. B
15. C
16. D
17. E
18. B
19. C...
... – 3 + 5 = –13
47 . The correct answer is (B) r
1
+ r
2
= p and r
1
r
2
= q
Then (r
1
+ r
2
)
2
= p
2
or r
1
2
+ r
2
2
+ 2r
1
r
2
= p
2
Thus r
1
2
+ r
2
2
= p
2
– 2q
48 . The correct ... 1
24 . Which of the following is an (x,y) coordinate pair located on the ellipse 4x
2
+ 9y
2
= 100?
(A) (1, 3.5)
(B) (1 .4, 3 .2)
(C) (1.9, 2. 9)
(D) (2. 3, 3.1)
(E) (2. 7...
... C
12. E
13. C
14. D
15. A
16. D
17. D
18. A
19. A
20 . B
21 . C
22 . D
23 . B
24 . C
25 . B
26 . D
27 . D
28 . D
29 . C
30. C
31. A
32. D
33. A
34. B
35. B
36. B
37. C
38. C
39. D
40 . E
41 . D
42 . C
43 . ... q
2
(B) p
2
– 2q
(C) p
2
– q
2
(D) p
2
(E) q
2
Mathematics Tests 28 5
ARCO ■ SAT II Math www.petersons.com/arco
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4. Solve fo...
... D
30. D
31. D
32. C
33. D
34. D
35. A
36. B
37. A
38. D
39. C
40 . E
41 . B
42 . E
43 . B
44 . C
45 . A
46 . E
47 . C
48 . D
49 . A
50. C
Part VI268
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48 . If two sides ... root.
2. The correct answer is (E).
1. B
2. E
3. E
4. D
5. C
6. B
7. B
8. D
9. C
10. A
11. B
12. E
13. E
14. E
15. C
16. E
17. A
18. B
19. A
20 . D
21 ....
... E
14. B
15. D
16. A
17. E
18. C
19. A
20 . B
21 . D
22 . A
23 . C
24 . B
25 . C
26 . C
27 . E
28 . B
29 . D
30. A
31. C
32. C
33. C
34. B
35. E
36. B
37. C
38. B
39. C
40 . B
41 . A
42 . B
43 . D
44 . B
45 . ... 60
60
360
21 0
1
6
20
10
3
10 3 14
3
10 4
10 10 5
,
.
.
.
Mathematics Tests 22 9
ARCO ■ SAT II Math www.petersons.com/arco
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34....
... terms:
I—natural number
II imaginary number
III—rational number
IV—integer
(A) I, IV, III, II
(B) I, II, III, IV
(C) I, III, II, IV
(D) IV, I, III, II
(E) I, IV, II, III
17. If the reciprocal ... = 21 –x, and PS = h.
By the Pythagorean Theorem
h
2
+ x
2
= 100 and h
2
+ (21 – x)
2
= 28 9
Subtract the first equation from the second.
Thus,
Part V2 02
www.petersons.com/arco A...
... A
22 . D
23 . C
24 . C
25 . A
26 . C
27 . E
28 . D
29 . B
30. D
31. B
32. E
33. C
34. B
35. C
36. D
37. E
38. C
39. E
40 . B
41 . A
42 . E
43 . A
44 . C
45 . B
46 . A
47 . C
48 . D
49 . D
50. E
Solutions
1. The ... 42 2
(B) 8 42
(C) 20 02
(D) 25 22
(E) 51 02
42 .
(A) 48
(B) 54
(C) 11 52
(D) 128
(E) 72
43 . In a class of 25 0 students, 175 take mathematics...
... D
12. B
13. E
14. A
15. C
16. B
17. C
18. B
19. D
20 . B
21 . B
22 . C
23 . E
24 . D
25 . E
26 . D
27 . C
28 . A
29 . E
30. B
31. D
32. E
33. C
34. C
35. D
36. B
37. B
38. E
39. D
40 . A
41 . C
42 . E
43 . ... 389 .23
(B) 938. 32
(C) 42 6 1 .48
(D) 11086.57
(E) 1 42 5 7.91
25 . For what value(s) of y on the curve shown in figure 25 does y = 4x?
(A) no value
(B) +4 onl...
... 24 0°
(E) 25 0°
Solution: (C)
In quadrant III, x = 22 5°.
Part III 74
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6. For what value of K is the graph of the equation y = 2x
2
– 3x + K tangent to the x-axis?
Solution: ... feet is
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Solution: (E)
Part III70
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2. Find all values of y between 0° and 180°...