... any unfamiliar words in the math
glossary on page 255. Learning the language of math is
very important to your success on the SAT.
Good luck!
–
THE SAT MATH SECTION
–
5658 SAT2 006[04](fin).qx 11/21/05 ... phrase, in mathe-
matical language.
–
THE SAT MATH SECTION
–
147
5658 SAT2 006[04](fin).qx 11/21/05 6:44 PM Page 147
Arithmetic Review
Numbers
All of the...
... 0)
√
¯¯¯¯¯
15
√
¯¯¯
3
√
¯¯¯¯¯
15
3
=
THE SAT MATH SECTION
112
5658 SAT2 006[04](fin).qx 11/21/05 6:44 PM Page 112
THE SAT MATH SECTION
128
Angles
An angle is formed by an endpoint, or vertex, and two
rays.
Naming Angles
There ... to the sum of the non-
adjacent interior angles.
+ = 180° and = +
+ + = 180°
x°
(x + 10)°
b
m
n
a
THE SAT MATH SECTION
130
5658 SAT2...
... is a parallelogram that has four equal
sides.
■
A square is a parallelogram in which all angles are
equal to 90° and all sides are equal to each other.
Diagonals
In all parallelograms, diagonals ... much water can fit inside.
4. Surface Area. The surface area of an object meas-
ures the area of each of its faces. The total surface
area of a rectangular solid is the double...
... so
A
ෆ
C
ෆ
= 10. Angles BDE and BED each meas-
ure 60 + 15 = 75°, since they are exterior
angles of triangles ADB and CEB. Therefore,
triangles ADB and CEB have the same shape
and size, so A
ෆ
D
ෆ
= ... total questions
THE SAT MATH SECTION
165
5658 SAT2 006[04](fin).qx 11/21/05 6:44 PM Page 165
THE SAT MATH SECTION
168
If 18 girls attended the party and 15
b...
... (to the nearest gram)
66. d. Since the formula for the area of a circle is r
2
, any change in r will affect the area by the square of
the amount of the change. Since the radius is doubled, the ... 0.4
0
2
4
6
8
10
2
4
6 810
12
14
A
B
C
D
E
F
2
10
6
– THE GRE QUANTITATIVE SECTION
235
69. b. Let x ϭ amount Ed had.
Let y ϭ amount Patricia had.
x ϩ $10 ϭ amount Ed...
... were doing—
seeking to dissolve the Union. In other words,
they were secessionists.
THE SAT CRITICAL READING SECTION–
37
5658 SAT2 006[03](fin).qx 11/21/05 6:42 PM Page 37
21. b. When Lincoln ... you decipher the thought
in the complete unit, and then fill in the blank in the
incomplete unit with a word that expresses a contrast-
ing thought. For example:
Although the...
... SAT MATH SECTION
14 3
5658 SAT2 006[04](fin).qx 11 / 21/ 05 6:44 PM Page 14 3
the road does not change; therefore, you know
to make the two expressions equal to each other:
12 x = 15 (x –
ᎏ
1
4
ᎏ
)
12 x ... by adding the known probabili-
ties together and subtracting from 1.
THE SAT MATH SECTION
14 6
5658 SAT2 006[04](fin).qx 11 / 21/ 05 6:44 PM Page 14 6
i...
... your knowledge of
mathematics.
Solve each problem. Then, decide which of the answer choices is best, and fill in the corresponding oval on the
answer sheet below.
THE SAT MATH SECTION
149
1.abcde
2.abcde
3.abcde
4.abcde
5.abcde
6.abcde
7.abcde
8.abcde
9.abcde
10.abcde
11.abcde
12.abcde
13.abcde
14.abcde
15.abcde
16.abcde
17.abcde
18.abcde
19.abcde
20.abcde
21.abcde
22.abcde
23.ab...
... completely:
3x
2
– 27 =
a. 3( x – 3)
2
b. 3( x
2
– 27)
c. 3( x + 3) (x – 3)
d. (3x + 3) (x – 9)
e. 3x – 9
THE SAT MATH SECTION
154
5658 SAT2 006[04](fin).qx 11/21/05 6:44 PM Page 154
5. At a school fair, the ... illustrates the distributive prop-
erty for real numbers?
a.
ᎏ
1
3
ᎏ
+
1
2
=
1
2
+
1
3
b. 3
+ 0 = 3
c. (1 .3 ì 0.07) × 0. 63 = 1 .3 × (0.0...
... –
ᎏ
2
3
ᎏ
The answer is choice b.
(y
2
– y
1
)
ᎏ
(x
2
– x
1
)
the change in the y-coordinate
ᎏᎏᎏᎏ
the change in the x-coordinate
THE SAT MATH SECTION
161
5658 SAT2 006[ 04] (fin).qx 11/21/05 6 :44 PM ... congruent in a trian-
gle, are the sides opposite these angles also
congruent?
The answer is yes.
THE SAT MATH SECTION
160
5658 SAT2 006[ 04] (fin).qx 11/21/05...
... people.
Thus:
$30 + $2 .50 x = $3.00x
$30 = $ .50 x
60 = x
Therefore, 60 guests must attend. The
answer is choice a.
THE SAT MATH SECTION
164
56 58 SAT2 006[04](fin).qx 11/21/ 05 6:44 PM Page 164
25. c. You ...
ᎏ
1
2
10
ho
m
u
i
r
le
s
s
ᎏ
= 55 mph
Now, all you have to do is substitute
into the formula above using the rate you
just solved for.
THE SAT MATH SECTION...
... feet
THE SAT MATH SECTION
167
565 8 SAT2 0 06[ 04](fin).qx 11/21/05 6: 44 PM Page 167
■
Remember these important tips:
If you write in the correct answer but do not
fill in the oval(s), you will get the ... y-coordinate of A.
THE SAT MATH SECTION
169
565 8 SAT2 0 06[ 04](fin).qx 11/21/05 6: 44 PM Page 169
39. c. Converting mixed numbers into improper
fract...
... 21
3
.
38. 82 . If the average of 14 scores is 80 , the sum of
the 14 scores is 14 ì 80 or 1,120. If the aver-
age of four of these scores is 75, the sum of
these four scores is 300, so the sum of the
remaining ... the meas-
ures of the acute angles add up to 90, so
∠ECF + 50 = 90 or ∠ECF = 90 – 50 = 40.
THE SAT MATH SECTION
1 78
56 58 SAT2 006[04](fin).qx 11/...
... on the essay and both will be converted to a scaled
score of 200–800 for the entire Writing section.
THE SAT WRITING SECTION
183
5658 SAT2 006[05](fin).qx 11/21/05 6:45 PM Page 183
5658 SAT2 006[05](fin).qx ...
Scoring
As in the Math and Critical Reading sections, for the
multiple-choice questions in the Writing section, you
will receive one point for each correct .....
... do the same.
9. Which of the following is the most logical order of the paragraphs?
a. 1, 2, 3, 4
b. 1, 3, 2, 4
c. 2, 3, 4, 1
d. 4, 3, 2, 1
e. 1, 4, 2, 3
THE SAT WRITING SECTION
191
5658 SAT2 006[05](fin).qx ...
(b)(c)(d)
programs across the country. N
o error
(e)
THE SAT WRITING SECTION
189
5658 SAT2 006[05](fin).qx 11/21/05 6:45 PM Page 189
Improving Paragraphs
Que...