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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
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. Define a 'monomial'
zero
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)
An expression with just one term (-6x - 2a^2)
x - x(SR3) - 2x

2. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
X
180°
(p + q)/5

3. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
The objects within a set.
Pi(diameter)
11 - 13 - 17 - 19

4. Simplify the expression [(b^2 - c^2) / (b - c)]
A = length x width
3 - -3
The direction of the inequality is reversed.
(b + c)

5. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
87.5%
9 : 25
A = pi(r^2)

6. formula for the volume of a cube
3/2 - 5/3
V=side³
1:sqrt3:2
18

7. Ø is
P= 2L + 2w
x^(4+7) = x^11
A multiple of every integer
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

8. How do you solve proportions? a/b=c/d
8
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Infinite.
Null

9. Formula for the area of a circle?
A = pi(r^2)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
10! / 3!(10-3)! = 120
The overlapping sections.

10. What is an arc of a circle?
Even
An arc is a portion of a circumference of a circle.
(b + c)
Negative

11. What is the slope of a horizontal line?
0
Relationship cannot be determined (what if x is negative?)
x^(6-3) = x^3
Reciprocal

12. What is the maximum value for the function g(x) = (-2x^2) -1?
53 - 59
1
Members or elements
P=2(l+w)

13. x^6 / x^3
Negative
Negative
x^(6-3) = x^3
71 - 73 - 79

14. factored binomial product of (x+y)²
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)
(b + c)
x²+2xy+y²
(base*height) / 2

15. factored binomial product of (x-y)²
x²-2xy+y²
9
X
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

16. One is (a prime or not?)
1
NOT A PRIME
A = pi(r^2)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

17. Volume of a rectangular box
41 - 43 - 47
V=Lwh
3 - 4 - 5
5

18. binomial product of (x+y)(x-y)
Factors are few - multiples are many.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
12! / 5!7! = 792
x²-y²

19. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
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.)
y = 2x^2 - 3
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
9

20. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
8
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
y/x is a constant

21. When dividing exponential #s with the same base - you do this to the exponents...
N! / (k!)(n-k)!
C = 2(pi)r
70
Subtract them. i.e (5^7)/(5^3)= 5^4

22. If a is negative and n is even then an is (positive or negative?)
6
An is positive
V=Lwh
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

23. the slope of a line in y=mx+b
The set of input values for a function.
= (actual decrease/Original amount) x 100%
6
M

24. 70 < all primes< 80
Members or elements
1
71 - 73 - 79
Arc length = (n/360) x pi(2r) where n is the number of degrees.

25. 3 is the opposite of
3
A set with a number of elements which can be counted.
Ø=P(E)=1
M

26. Area of a rectangle
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
x^(4+7) = x^11
A = length x width
Lies opposite the greater angle

27. x^2 = 9. What is the value of x?
3
Cd
3 - -3
Sum of digits is a multiple of 3 and the last digit is even.

28. The reciprocal of any non-zero number is
A=pi*(r^2)
The objects within a set.
1/x
Edge³

29. a<b then a - b is positive or negative?
8
A-b is negative
y/x is a constant
441000 = 1 10 10 10 21 * 21

30. What is the set of elements which can be found in either A or B?
The union of A and B.
1
The sum of its digits is divisible by 3.
Sum of digits is a multiple of 3 and the last digit is even.

31. Pythagorean theorem
360°
A = length x width
V=side³
A²+b²=c²

32. binomial product of (x+y)²
5 - 12 - 13
70
an angle that is less than 90°
(x+y)(x+y)

33. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
N! / (k!)(n-k)!
P= 2L + 2w
90pi
13pi / 2

34. How many sides does a hexagon have?
9 : 25
A = length x width
6
360°

35. If a<b - then
A+c<b+c
X
x^(6-3) = x^3
11 - 13 - 17 - 19

36. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
6 : 1 : 2
A 30-60-90 triangle.
3
No - only like radicals can be added.

37. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
F(x) + c
23 - 29
18
27^(-4)

38. How to recognize a multiple of 6
5 OR -5
The objects within a set.
Sum of digits is a multiple of 3 and the last digit is even.
F(x-c)

39. Solve the quadratic equation ax^2 + bx + c= 0
(a - b)(a + b)
3x - 4x - 5x
1/2 times 7/3
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

40. 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 sum of its digits is divisible by 3.
X
Indeterminable.
500

41. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
True
(x+y)(x-y)
Subtract them. i.e (5^7)/(5^3)= 5^4
500

42. a^2 + 2ab + b^2
M= (Y1-Y2)/(X1-X2)
(a + b)^2
A=(base)(height)
9 & 6/7

43. If a product of two numbers is Ø - one number must be
Ø
An arc is a portion of a circumference of a circle.
x²-2xy+y²
An is positive

44. 25^(1/2) or sqrt. 25 =
N! / (n-k)!
5 OR -5
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
An arc is a portion of a circumference of a circle.

45. First 10 prime #s
x²-2xy+y²
9 & 6/7
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A multiple of every integer

46. a(b+c)
Ab+ac
Ø
Ø
A subset.

47. The percent decrease of a quantity
The objects within a set.
= (actual decrease/Original amount) x 100%
62.5%
2²

48. 8.84 / 5.2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
$11 -448
A central angle is an angle formed by 2 radii.
1.7

49. 25+2³
1 - P(E)
x²-y²
28
N! / (n-k)!

50. Perfect Squares 1-15
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
The longest arc between points A and B on a circle'S diameter.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
M