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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. What is the 'Solution' for a system of linear equations?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
6
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The point of intersection of the systems.

2. If an inequality is multiplied or divided by a negative number....
The objects within a set.
1
The direction of the inequality is reversed.
The sum of digits is divisible by 9.

3. If a lamp increases from $80 to $100 - what is the percent increase?
(a + b)^2
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
28
x²+2xy+y²

4. Simplify the expression (p^2 - q^2)/ -5(q - p)
11 - 13 - 17 - 19
ODD number
8
(p + q)/5

5. Pythagorean theorem
Ø=P(E)=1
360°
A²+b²=c²
P(E) = ø

6. What are the roots of the quadrinomial x^2 + 2x + 1?
No - only like radicals can be added.
The two xes after factoring.
x²-2xy+y²
1/x

7. Ø is
1/x
Positive or Negative
Even
zero

8. a<b then a - b is positive or negative?
The set of elements which can be found in either A or B.
A-b is negative
An isosceles right triangle.
All numbers multiples of 1.

9. 30 60 90
(rate)(time) d=rt
360°
5 - 12 - 13
2sqrt6

10. What is a minor arc?

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11. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
$11 -448
1
C = 2(pi)r

12. What are the real numbers?
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
1
Ø=P(E)=1
y = (x + 5)/2

13. a^2 + 2ab + b^2
(a + b)^2
52
Distance=rate×time or d=rt
Ø=P(E)=1

14. The only number that is equal to its opposite
A=(base)(height)
37.5%
Ab=k (k is a constant)
Ø Ø=Ø

15. What is the 'union' of A and B?
288 (8 9 4)
... the square of the ratios of the corresponding sides.
The set of elements which can be found in either A or B.
A chord is a line segment joining two points on a circle.

16. Circumference of a circle
26
x^(4+7) = x^11
Pi(diameter)
zero

17. In any polygon - all external angles equal up to
2
360°
20.5
9 & 6/7

18. Can you subtract 3sqrt4 from sqrt4?
1/a^6
F(x) + c
Yes - like radicals can be added/subtracted.
Ø Ø=Ø

19. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
(distance)/(rate) d/r
1/x
No - only like radicals can be added.

20. Area of a triangle
41 - 43 - 47
180°
A= (1/2) b*h
An isosceles right triangle.

21. Factor x^2 - xy + x.
F(x-c)
x(x - y + 1)
M= (Y1-Y2)/(X1-X2)
A multiple of every integer

22. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
A central angle is an angle formed by 2 radii.
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
1

23. What is the graph of f(x) shifted right c units or spaces?
1
F(x-c)
55%
Ø

24. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
53 - 59
A percent is a fraction whose denominator is 100.

25. When does a function automatically have a restricted domain (2)?
C = 2(pi)r
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
9
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

26. What are congruent triangles?
72
C = (pi)d
Triangles with same measure and same side lengths.
1/x

27. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
P=4s (s=side)
$11 -448
4096
The sum of its digits is divisible by 3.

28. (x-y)²
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)
x²-2xy+y²
Sector area = (n/360) X (pi)r^2

29. Probability of Event all cases
EVEN
Sector area = (n/360) X (pi)r^2
(pi)r²
Ø=P(E)=1

30. 1/Ø=null If a>b then
13pi / 2
A<-b
A+c<b+c
4096

31. The product of odd number of negative numbers
V=l×w×h
55%
53 - 59
Negative

32. What is a percent?
(a - b)(a + b)
27^(-4)
A percent is a fraction whose denominator is 100.
52

33. formula for volume of a rectangular solid
V=l×w×h
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
An expression with just one term (-6x - 2a^2)
3/2 - 5/3

34. Formula for the area of a circle?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The set of output values for a function.
A = pi(r^2)
67 - 71 - 73

35. 1 is an
C=2 x pi x r OR pi x D
4096
ODD number
... the square of the ratios of the corresponding sides.

36. Area of a circle
(pi)r²
Infinite.
180
an angle that is less than 90°

37. Volume of a rectangular box
18
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
V=Lwh
Undefined - because we can'T divide by 0.

38. 7/8 in percent?
C = (pi)d
87.5%
B?b?b (where b is used as a factor n times)
2²

39. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)
4.25 - 6 - 22
A set with a number of elements which can be counted.
3

40. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
A-b is positive
F(x-c)
P= 2L + 2w
4.25 - 6 - 22

41. Area of a rectangle
26
3
The objects within a set.
A = length x width

42. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
The interesection of A and B.
.0004809 X 10^11
4:5
500

43. Ø is a multiple of
Ø
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Two (Ø×2=Ø)
The set of output values for a function.

44. What is a tangent?
x^(2(4)) =x^8 = (x^4)^2
A multiple of every integer
A tangent is a line that only touches one point on the circumference of a circle.
A central angle is an angle formed by 2 radii.

45. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
V=Lwh
D/t (distance)/(time)
Two equal sides and two equal angles.

46. Probability of an Event
Its last two digits are divisible by 4.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
28
P(E) = number of favorable outcomes/total number of possible outcomes

47. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
EVEN
P= 2L + 2w
C=2 x pi x r OR pi x D

48. What is the 'Range' of a series of numbers?
12! / 5!7! = 792
An expression with just one term (-6x - 2a^2)
The greatest value minus the smallest.
10! / 3!(10-3)! = 120

49. Vertical lines
Do not have slopes!
D=rt so r= d/t and t=d/r
x - x(SR3) - 2x
0

50. What is a finite set?
A set with a number of elements which can be counted.
A²+b²=c²
4725
20.5

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GRE Math: All In One

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