... terminating dec-
imal. (͙ 32
ෆ
)
3
= (͙ 32
ෆ
)(͙ 32
ෆ
)(͙ 32
ෆ
) = 32 32
ෆ
= 32 16
ෆ
2
ෆ
= ( 32) (4) 2
ෆ
= 128 2
ෆ
. 2
ෆ
can-
not be expressed as a repeating or terminating
decimal, therefore, 128 2
ෆ
is ... undefined when x = 2?
a. y =
ᎏ
x
x
+
2
2
ᎏ
b. y =
ᎏ
x
2
+4
x
x +4
ᎏ
c. y =
ᎏ
x
2
2
–
x
4
+
x
4
+4
ᎏ
d. y =
ᎏ
x
2
–
+
x
2
3
+
x +
2
2
ᎏ
e. y =
ᎏ
x
x
2
2
+
+...
... customers.
Now that you’ve purchased LearningExpress’s SAT Math Essentials, you have FREE access to:
■
Practice exercises modeled on actual SAT Math questions
■
Immediate scoring and detailed answer ... customized diagnostic report
■
Improve your math knowledge and overcome math anxiety
Follow the simple instructions on the scratch card in your copy of SAT Math Essentials. U...
... guitars.
5. c. The set of positive factors of 12 is {1, 2, 3, 4, 6,
12} . All of the even numbers (2, 4, 6, and 12) are
multiples of 2. The only positive factors of 12
that are not multiples of 2 are 1 ... coordinates (9 ,12) . The differ-
ence between the different
x
values is 9 – (–3) =
12 and the difference between the different
y
values is 12 – 5 = 7. The length of the rectan-...
... is a simulation of the three Math sections you will
complete on the SAT. To receive the most benefit from this practice test,
complete it as if it were the real SAT. So take this practice test ... choose four students to participate in the
trivia challenge. How many different groups of four students can Mr. Randall form?
ᎏ
a
b
ᎏ
– a
ᎏ
ᎏ
a
1
–1
ᎏ
–PRACTICE TEST 2–
208
11. Which of the fo...
... ᎏ
3
4
ᎏ
ϭ
ᎏ
9
r
ᎏ
This proportion means that 3 parts peanuts to 4 parts raisins must equal 9 parts peanuts to r parts raisins. We
can solve for r by finding cross products:
ᎏ
3
4
ᎏ
ϭ
ᎏ
9
r
ᎏ
3r ϭ 4 ϫ 9
3r ... there are 6 parts red paint, 4 parts green paint, and 2 parts yellow paint.
Now we must first determine how many total parts there are in the ratio:
6 parts red ϩ 4 parts green ϩ 2...
... percentage of 90 is 18?
First translate the problem into math:
Now solve:
ᎏ
10
x
0
ᎏ
ϫ 90 ϭ 18
ᎏ
1
9
0
0
0
x
ᎏ
ϭ 18
ᎏ
1
9
0
x
ᎏ
ϭ 18
ᎏ
1
9
0
x
ᎏ
ϫ 10 ϭ 18 ϫ 10
9x ϭ 180
x ϭ 20
Answer: 18 is 20% of 90.
What ... 3.
Math:
ᎏ
1
1
0
0
0
ᎏ
ϫ 30 ϭ 3
■
The word what refers to a variable.
English: 20% of what equals 8?
Math:
ᎏ
1
2
0
0
0
ᎏ
ϫ a ϭ 8
■
The words is, are, and were, mean equa...
... 180(x Ϫ 2)
S ϭ 180(6 Ϫ 2)
S ϭ 180(4)
S ϭ 72 0
The sum of the angles in the polygon is 72 0°.
12
4
3
m∠1 + m∠2 + m∠3 + m∠4 = 360°
B
CF
A
D
E
–GEOMETRY REVIEW–
1 27
Answer
a. To find the length of an ... ϭ
ᎏ
81
3
π
ᎏ
A ϭ 27
The area of the sector is 27 .
x°
r
r
secto
r
–GEOMETRY REVIEW–
123
Practice Question
What is the area of the sector shown above?
a.
ᎏ
4
3
9
6
π
0
ᎏ
b.
ᎏ
7
3
π
ᎏ
c.
ᎏ...
... 4
2
ϭ c
2
9 ϩ 16 ϭ c
2
25 ϭ c
2
͙25
ෆ
ϭ ͙c
2
ෆ
5 ϭ c
Example
a
2
ϩ b
2
ϭ c
2
a
2
ϩ 6
2
ϭ 12
2
a
2
ϩ 36 ϭ 144
a
2
ϩ 36 Ϫ 36 ϭ 144 Ϫ 36
a
2
ϭ 108
͙a
2
ෆ
ϭ ͙108
ෆ
a ϭ ͙108
ෆ
a
12
6
4 c
3
–GEOMETRY ... ͙11
ෆ
b. 8
c. 65
ෆ
d. 11
e. 65
Answer
c. Use the Pythagorean theorem: a
2
ϩ b
2
ϭ c
2
,where a ϭ 7 and b ϭ 4.
a
2
ϩ b
2
ϭ c
2
7
2
ϩ 4
2
ϭ c
2
49 ϩ 16 ϭ c
2
65 ϭ c
2
65
ෆ
ϭ ͙c
2
ෆ
6...
... therefore correct.
Unfortunately, the SAT does not include this type
of multiple-choice question. Instead, the SAT includes
the other type of multiple-choice question. SAT ques-
tions include one or ... on the SAT so that they don’t surprise you with their tricks.
CHAPTER
Techniques and
Strategies
The next four chapters will help you review all the mathematics you
need to know for the...
... 27,913 ,88 8
Even without doing any calculations, you still
know that answer choice e is correct because answer
choices a, b, c, and d are obviously incorrect. Of course,
questions on the SAT will ... above after eliminating
distracters.
–TECHNIQUES AND STRATEGIES–
29
ᎏ
8 ϩ 12
4
ϩ 7 ϩ a
ᎏ
ϭ 10
ᎏ
8 ϩ 12
4
ϩ 7 ϩ a
ᎏ
ϫ 4 ϭ 10 ϫ 4
8 ϩ 12 ϩ 7 ϩ a ϭ 40
27 ϩ a ϭ 40
27 ϩ a – 27 ϭ 40 – 27
a ϭ...
... the circle is the length of this line segment.
Formulas
The following formulas are provided on the SAT. You therefore do not need to memorize these formulas, but you
do need to understand when ... problem-solving skills and concepts that you
need to know for the SAT. Throughout the chapter are sample ques-
tions in the style of SAT questions. Each sample SAT question is fol-
lowed by...