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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. What is the graph of f(x) shifted upward c units or spaces?
V=Lwh
3/2 - 5/3
F(x) + c
1

2. Factor a^2 + 2ab + b^2
(a - b)(a + b)
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
(a + b)^2
2²

3. If a is positive - an is
360°
The set of input values for a function.
Positive
Positive or Negative

4. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
3
The overlapping sections.
180
A=(base)(height)

5. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
y/x is a constant
The point of intersection of the systems.

6. (x-y)(x+y)
x²-y²
0
A reflection about the origin.
52

7. Ø is a multiple of
(rate)(time) d=rt
9
P(E) = ø
Every number

8. Product of any number and Ø is
Ø
48
288 (8 9 4)
F(x + c)

9. What are the roots of the quadrinomial x^2 + 2x + 1?
Cd
The two xes after factoring.
6 : 1 : 2
360°

10. Acute Angle
5 - 12 - 13
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
an angle that is less than 90°
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

11. If a lamp decreases to $80 - from $100 - what is the decrease in price?
x²-y²
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Can be negative - zero - or positive
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

12. Slope of any line that goes up from left to right
Factors are few - multiples are many.
Positive
Parallelogram
1/2 times 7/3

13. The larger the absolute value of the slope...
The set of elements found in both A and B.
18
The steeper the slope.
(x+y)(x-y)

14. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
70
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A<-b

15. A prime number (or a prime)
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)
A natural number greater than 1 that has no positive divisors other than 1 and itself
$3 -500 in the 9% and $2 -500 in the 7%.
48

16. In a Rectangle - each angles measures
6
90°
A+c<b+c
The set of input values for a function.

17. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/2
A-b is negative
31 - 37
1 & 37/132

18. Perimeter of a rectangle
F(x) - c
Triangles with same measure and same side lengths.
P= 2L + 2w
28

19. 1n
62.5%
The sum of digits is divisible by 9.
1
A set with no members - denoted by a circle with a diagonal through it.

20. x^4 + x^7 =
71 - 73 - 79
x^(4+7) = x^11
360°
360°

21. Simplify (a^2 + b)^2 - (a^2 - b)^2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
18
4a^2(b)
Undefined

22. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
1
$3 -500 in the 9% and $2 -500 in the 7%.
0
20.5

23. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
1
10! / 3!(10-3)! = 120
Ø
0

24. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
V=Lwh
(a - b)^2

25. formula for distance problems
Distance=rate×time or d=rt
.0004809 X 10^11
P= 2L + 2w
F(x) - c

26. How to recognize if a # is a multiple of 12
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.)
5 OR -5
An infinite set.
Ab+ac

27. 10<all primes<20
A = length x width
11 - 13 - 17 - 19
Ab+ac
5 OR -5

28. The negative exponent x?n is equivalent to what?
Two angles whose sum is 90.
0
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Ø

29. Solve the quadratic equation ax^2 + bx + c= 0
360/n
The set of elements found in both A and B.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The steeper the slope.

30. How to recognize a # as a multiple of 3
Two equal sides and two equal angles.
(distance)/(rate) d/r
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)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

31. Legs 5 - 12. Hypotenuse?
An isosceles right triangle.
(p + q)/5
13
0

32. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
75:11
180°
x²+2xy+y²
Sum of digits is a multiple of 3 and the last digit is even.

33. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Reciprocal
13pi / 2

34. 2 is the only
2(pi)r
Even prime number
B?b?b (where b is used as a factor n times)
3

35. Obtuse Angle
Ø
... the square of the ratios of the corresponding sides.
angle that is greater than 90° but less than 180°
x - x(SR3) - 2x

36. How do you solve proportions? a/b=c/d
360/n
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
P(E) = 1/1 = 1
A chord is a line segment joining two points on a circle.

37. Circumference of a circle
2
2sqrt6
Pi(diameter)
N! / (n-k)!

38. An Angle that'S 180°
Sector area = (n/360) X (pi)r^2
48
2 & 3/7
Straight Angle

39. Ø Is neither
A natural number greater than 1 that has no positive divisors other than 1 and itself
N! / (k!)(n-k)!
Positive or Negative
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

40. P and r are factors of 100. What is greater - pr or 100?
Undefined
Indeterminable.
The greatest value minus the smallest.
3

41. The sum of the measures of the n angles in a polygon with n sides
1.7
C=2 x pi x r OR pi x D
3x - 4x - 5x
(n-2) x 180

42. a(b-c)
Ab-ac
0
4725
Negative

43. Area of a circle
1
1/x
(pi)r²
(a - b)^2

44. What is the graph of f(x) shifted left c units or spaces?
Ø
70
F(x + c)
Straight Angle

45. binomial product of (x+y)²
ODD number
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
(x+y)(x+y)
2 & 3/7

46. Pi is a ratio of what to what?

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47. a^2 - b^2 =
D/t (distance)/(time)
(a - b)(a + b)
3/2 - 5/3
A = pi(r^2)

48. If a is negative and n is even then an is (positive or negative?)
An is positive
12! / 5!7! = 792
y = 2x^2 - 3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

49. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
$3 -500 in the 9% and $2 -500 in the 7%.
The objects within a set.
75:11
71 - 73 - 79

50. 6w^2 - w - 15 = 0
... the square of the ratios of the corresponding sides.
A= (1/2) b*h
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)
3/2 - 5/3