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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.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

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 graph of f(x) shifted downward c units or spaces?
F(x) - c
P(E) = number of favorable outcomes/total number of possible outcomes
6 : 1 : 2
1

2. Simplify (a^2 + b)^2 - (a^2 - b)^2
27
4a^2(b)
The overlapping sections.
3

3. 10^6 has how many zeroes?
6
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
7 / 1000
P=4s (s=side)

4. How to recognize a # as a multiple of 4
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
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.)
A-b is negative
The union of A and B.

5. When does a function automatically have a restricted domain (2)?
11 - 13 - 17 - 19
3 - -3
1
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

6. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
Straight Angle
3
Pi(diameter)

7. What are the members or elements of a set?
C = (pi)d
2sqrt6
Ø
The objects within a set.

8. The sum of all angles around a point
1
x²+2xy+y²
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
360°

9. When multiplying exponential #s with the same base - you do this to the exponents...
4096
Add them. i.e. (5^7) * (5^3) = 5^10
0
360°

10. The Denominator can never
Be Zero!
31 - 37
V=l×w×h
Reciprocal

11. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
180 degrees
20.5
angle that is greater than 90° but less than 180°

12. What is a subset?
A grouping of the members within a set based on a shared characteristic.
x²-y²
1.0843 X 10^11
(a - b)^2

13. 4.809 X 10^7 =
Do not have slopes!
1
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
.0004809 X 10^11

14. 25+2³
F(x) + c
28
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
180°

15. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
72
3 - 4 - 5
6
48

16. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
12! / 5!7! = 792
Sum of digits is a multiple of 3 and the last digit is even.
90pi

17. How to find the circumference of a circle which circumscribes a square?
Sector area = (n/360) X (pi)r^2
A set with no members - denoted by a circle with a diagonal through it.
Pi(diameter)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

18. 25/2³
Indeterminable.
2²
4.25 - 6 - 22
3

19. 20<all primes<30
The sum of the digits is a multiple of 9.
1
23 - 29
NOT A PRIME

20. a^2 - 2ab + b^2
A = length x width
A²+b²=c²
23 - 29
(a - b)^2

21. Define an 'expression'.
Reciprocal
(a - b)^2
(n-2) x 180
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)

22. bn
31 - 37
B?b?b (where b is used as a factor n times)
A-b is negative
Positive

23. the measure of a straight angle
A reflection about the axis.
180°
3/2 - 5/3
The sum of the digits is a multiple of 9.

24. Area of a circle
71 - 73 - 79
A=pi*(r^2)
Ø Ø=Ø
(amount of decrease/original price) x 100%

25. The sum of the angles in a quadrilateral is
360°
Reciprocal
6
Distance=rate×time or d=rt

26. 30< all primes<40
A subset.
1/x
y/x is a constant
31 - 37

27. How many multiples does a given number have?
Infinite.
12.5%
An isosceles right triangle.
$3 -500 in the 9% and $2 -500 in the 7%.

28. What is the 'Solution' for a system of linear equations?
75:11
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
The point of intersection of the systems.
61 - 67

29. A number is divisible by 3 if ...
Pi(diameter)
Every number
Even
The sum of its digits is divisible by 3.

30. Circumference of a circle?
EVEN
3
The steeper the slope.
Diameter(Pi)

31. b¹
$3 -500 in the 9% and $2 -500 in the 7%.
Null
y/x is a constant
1

32. Define a 'Term' -
27^(-4)
y2-y1/x2-x1
A = length x width
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)

33. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
N! / (k!)(n-k)!
The direction of the inequality is reversed.
C = 2(pi)r
2.592 kg

34. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1
Move the decimal point to the right x places
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

35. When dividing exponential #s with the same base - you do this to the exponents...
3 - -3
Subtract them. i.e (5^7)/(5^3)= 5^4
The overlapping sections.
= (actual decrease/Original amount) x 100%

36. a(b-c)
Add them. i.e. (5^7) * (5^3) = 5^10
D/t (distance)/(time)
.0004809 X 10^11
Ab-ac

37. formula for distance problems
1
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)
Distance=rate×time or d=rt
Triangles with same measure and same side lengths.

38. What is the area of a regular hexagon with side 6?
(length)(width)(height)
(a + b)^2
A chord is a line segment joining two points on a circle.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

39. What is the measure of an exterior angle of a regular pentagon?
0
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
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.)
72

40. What number between 70 & 75 - inclusive - has the greatest number of factors?
61 - 67
72
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
Pi(diameter)

41. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
67 - 71 - 73
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
8
4725

42. What is the sum of the angles of a triangle?
C=2 x pi x r OR pi x D
180 degrees
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Negative

43. (2²)³
87.5%
26
y = 2x^2 - 3
360°

44. Perimeter of a rectangle
1
P= 2L + 2w
(2x7)³
1.0843 X 10^11

45. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
N! / (n-k)!
16.6666%

46. Area of a triangle
A= (1/2) b*h
Pi is the ratio of a circle'S circumference to its diameter.
V=Lwh
37.5%

47. What is a minor arc?

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48. The important properties of a 45-45-90 triangle?
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
Negative
70
Can be negative - zero - or positive

49. A number is divisible by 4 is...
180
Its last two digits are divisible by 4.
90
angle that is greater than 90° but less than 180°

50. What is the maximum value for the function g(x) = (-2x^2) -1?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1
67 - 71 - 73
288 (8 9 4)

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GRE Math: All In One

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