... for sin
2
t.
9. Find the remainder when x
16
+ 5 is divided by x + 1.
Solution: If f(x) = x
16
+ 5, then the remainder is equal to
Part III28
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7. Solve ... for r:
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Solution: (D)
If the bases are equal, the exponents are equal.
Part III20
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IIllustrative P...
... the fractions. L.C.D. = (2 – i) (2 + i)
22
22
44 14 4 1
41
8
5
22
+
()
−−
()
−
()
+
()
=
+ −− ++
−−
()
=
ii
ii
ii
i
8. What is the value of i
88
– i
22
?
Solution:
Math Practice Exercises and ... III80
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2. Which term of the series 1, 6, 11 … is 96?
Solution:
3. Find the sum of the first 10 terms of the series 3 + 5 + 7 …...
... × 10
10
and L = 6 × 10
–5
, f =
(A) 2 × 10
15
(B) 2 × 10
5
(C) 5 × 10
14
(D) 2 × 10
14
(E) 5 × 10
15
18 . What is the approximate slope of the line
14 3 7
3
xy
−=
?
(A) 1. 15
(B) 1. 25
(C) 1. 35
(D) ... 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...
... = 10 º.
12 0º + 10 º = 13 0º
10 . The correct answer is ( 12 5).
Part IV 122
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10 . GEOMETRY
1. The correct answer is (35º).
Let PT be a diameter of Circle O.
2. ... = 12 0º
Part IV 118
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9. The correct answer is ( ).
Substitute a = 1, b = –6, c = 7.
10 . The correct answer is (8,4)....
... answer is (4x(x - 1) ).
x
x
x
x
xx
x
x
x
xx
x
22 2
4
14
1
11
4
1
41
−
⋅
+
=
+
()
−
()
/
⋅
+
=+
()
Part IV1 02
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7. If , what does (1 + i)
2
equal in a + ... Solutions by Topic 11 3
ARCO ■ SAT II Math www.petersons.com/arco
9. The correct answer is (4x
2
+ 4x - 1) . f(x) = x
2
– 2 and g(x) = 2x + 1
5. EXPONENTS
1...
... Relationships
2. Pythagorean Relationships
sin
2
A + cos
2
A = 1
sec
2
A = 1 + tan
2
A
csc
2
A = 1 + cot
2
A
Math Review—Illustrative Problems and Solutions 57
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4. ... 24 0°
(E) 25 0°
Solution: (C)
In quadrant III, x = 22 5°.
Part III74
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6. For what value of K is the graph...
... the circle?
Solution:
From the figure,
r
2
= (r – 2)
2
+ 6
2
r
2
= r
2
– 4r + 4 + 36
4r = 40
r = 10
Part III44
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3. In the figure,
and
are angle ... sides
are proportional.
16
25
RS
RS
=
RS
2
= (16 ) (25 )
RS = 4 • 5 = 20
CIRCLES
1. If a chord 12 in. long is drawn in a circle and the midpoint of the minor arc of the...