The gre anlytycal writting section 2 pptx
The gre anlytycal writting section 2 pptx
... additional
$27 to buy new wheels for it. She then sold the
skateboard for $ 120 .
the money Ida received in excess
of the total amount she spent $20
3.
xy
4. 2( 2) (–5) (0)(3)(9)
x°
z°
y°
l
1
l
2
l
1
... – 1
9.
the area of the shaded 9
rectangular region
10. x
2
y Ͼ 0
xy
2
Ͻ 0
xy
2
R
V
S
T
U
4
3
Q
R
S
P
V
T
The length of the sides in
squares PQRV and VRST is 6.
– T...
The gre anlytycal writting section 4 pptx
... values of the numbers.
2. Keep the sign of the number with the larger absolute value.
Examples:
2 + 3 =
Subtract the absolute values of the numbers: 3 – 2 = 1.
The sign of the number with the larger ... remainder.
Example:
12 ϫ 3 = 4
The number 3 is, therefore, a factor of the number 12. Other factors of 12 are 1, 2, 4, 6, and 12.
The common factors of two num...
The gre anlytycal writting section 1 ppt
... right angle
A
B
C
– THE GRE QUANTITATIVE SECTION
144
T
his chapter will help you prepare for the Quantitative section of the GRE. The Quantitative sec-
tion of the GRE contains 28 total questions:
■
14 ... time on any one question.
These time management strategies apply to the Verbal section of the GRE; they also will serve you well
on the Quantitative portion of...
The gre anlytycal writting section 5 ppt
... add the exponents.
Examples:
2
2
ϫ 2
4
ϫ 2
6
ϭ 2
12
a
2
ϫ a
3
ϫ a
5
ϭ a
10
■
When dividing identical bases, you subtract the exponents.
Examples:
ᎏ
2
2
5
3
ᎏ
= 2
2
ᎏ
a
a
7
4
ᎏ
= a
3
Here is another ... that the number 3 is the
square root of the number 9. The symbol for square root is ͙
ෆ
and is called the radical. The number inside
of the radical is called t...
The gre anlytycal writting section 6 ppsx
... variable.
Example:
Solve for x.
2x + 4y = 12 To isolate the x variable, move the 4y to the other side.
–4y = –4y
2x = 12 – 4y Then divide both sides by the coefficient of 2.
ᎏ
2
2
x
ᎏ
=
ᎏ
12
2
–4y
ᎏ
Simplify ... (1)(10) = 21 x
2
+ 30x + 7x + 10.
After combining like terms, the answer is: 21 x
2
+ 37x +10.
Factoring
Factoring is the reverse of multiplication:
2( x +...
The gre anlytycal writting section 7 pdf
... at all.
Check:
2x
2
– x – 6 = 0
2( 2)
2
– (2) – 6 = 0 or 2(
ᎏ
–
2
3
ᎏ
)
2
– (
ᎏ
–
2
3
ᎏ
) – 6 = 0
2( 4) – 8 = 0 2(
ᎏ
9
4
ᎏ
) – 4
ᎏ
1
2
ᎏ
= 0
8 – 8 = 0 4
ᎏ
1
2
ᎏ
– 4
ᎏ
1
2
ᎏ
= 0
Therefore, both ... choose:
2p + q = 11 becomes q = 11 – 2p
■
Second, substitute 11 – 2p for q in the other equation and solve:
p + 2( 11 – 2p) = 13
p + 22 – 4p = 13
22 – 3p = 13
22 = 13 + 3...
The gre anlytycal writting section 8 ppt
... number.
Example:
If 7 – 2x Ͼ 21 , find x.
■
Isolate the variable:
7 – 2x Ͼ 21
–7 –7
–2x Ͼ 14
■
Because you are dividing by a negative number, the inequality symbol changes direction:
ᎏ
–
–
2
2
x
ᎏ
Ͼ
ᎏ
–
14
2
ᎏ
x ... “less than” and “more than.”
Examples:
The product of x and 6 is greater than 2.
x ϫ 6 Ͼ 2
When 14 is added to a number x, the sum is less than 21 .
x ϩ 14 Ͻ 2...
The gre anlytycal writting section 9 pot
... m 2 + m∠3 = 180°
3
2
1
– THE GRE QUANTITATIVE SECTION
184
Example:
mЄ1 = mЄ3 + mЄ5
mЄ4 = m 2 + mЄ5
mЄ6 = mЄ3 + m 2
■
The sum of the exterior angles of a triangle equal to 360 degrees.
Triangles
More ... complimentary if the sum of their measures is equal to 90 degrees.
1
2
∠1 + m 2 = 90°
Complementary
Angles
m
Straight Angle
180°
Obtuse Angle
Right
Angle
Symbol
– THE GR...
The gre anlytycal writting section 10 pot
... therefore, the
hypotenuse is two times the length of the leg opposite the 30-degree angle.)
■
The leg opposite the 60-degree angle is 3 times the length of the other leg.
10 2
ෆ
ᎏ
2
2
ෆ
ᎏ
2
10
x
x
2
ෆ
ᎏ
2
45°
45°
– ... represent the length of the legs and c reprecents the length of the
hypotenuse.
This theorem allows you to find the length of any side as lon...
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