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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. 1/Ø=null If a>b then
No - only like radicals can be added.
Pi(diameter)
A<-b
F(x-c)

2. An Angle that'S 180°
37.5%
6
Straight Angle
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

3. What is the graph of f(x) shifted left c units or spaces?
5 OR -5
F(x + c)
V=l×w×h
11 - 13 - 17 - 19

4. What is the 'domain' of a function?
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...
x^(6-3) = x^3
The set of input values for a function.
F(x-c)

5. 2³×7³
x²-2xy+y²
1/x
37.5%
(2x7)³

6. What are the members or elements of a set?
y2-y1/x2-x1
7 / 1000
The objects within a set.
1:1:sqrt2

7. a^0 =
A subset.
5 - 12 - 13
1
The set of input values for a function.

8. 3/8 in percent?
37.5%
9 & 6/7
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)
V=Lwh

9. When does a function automatically have a restricted domain (2)?
y/x is a constant
55%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1.7

10. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
.0004809 X 10^11
D/t (distance)/(time)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
0

11. The reciprocal of any non-zero number is
1/2 times 7/3
9 & 6/7
180
1/x

12. formula for area of a triangle
3
A=½bh
1
V=Lwh

13. factored binomial product of (x-y)²
x²-2xy+y²
The objects within a set.
500
360°

14. If Event is impossible
P(E) = ø
The sum of its digits is divisible by 3.
Right
2sqrt6

15. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
V=side³
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.
A-b is negative

16. 30< all primes<40
EVEN
1 & 37/132
31 - 37
A grouping of the members within a set based on a shared characteristic.

17. Simplify (a^2 + b)^2 - (a^2 - b)^2
4096
Cd
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
4a^2(b)

18. binomial product of (x-y)²
(x+y)(x-y)
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
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
500

19. First 10 prime #s
A reflection about the origin.
Every number
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
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

20. How to recognize a # as a multiple of 9
Triangles with same measure and same side lengths.
EVEN
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The sum of the digits is a multiple of 9.

21. 30 60 90
23 - 29
5 - 12 - 13
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Positive

22. a/Ø
8
The point of intersection of the systems.
Null
(pi)r²

23. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
71 - 73 - 79
2
Undefined - because we can'T divide by 0.
Pi(diameter)

24. 1/2 divided by 3/7 is the same as
Members or elements
1/2 times 7/3
A natural number greater than 1 that has no positive divisors other than 1 and itself
The two xes after factoring.

25. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
2.592 kg
N! / (n-k)!
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
D/t (distance)/(time)

26. Slope of any line that goes up from left to right
5 - 12 - 13
1/x
C=2 x pi x r OR pi x D
Positive

27. (x+y)²
Positive or Negative
x²+2xy+y²
3 - -3
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)

28. What is the side length of an equilateral triangle with altitude 6?
72
23 - 29
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...
1/2 times 7/3

29. 25+2³
4725
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
28
Triangles with same measure and same side lengths.

30. If a lamp increases from $80 to $100 - what is the percent increase?
Two angles whose sum is 90.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Ø
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

31. Legs 5 - 12. Hypotenuse?
Members or elements
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
13
67 - 71 - 73

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?
Parallelogram
75:11
360°
Ab-ac

33. What is an isoceles triangle?
Two equal sides and two equal angles.
Edge³
= (actual decrease/Original amount) x 100%
x - x(SR3) - 2x

34. What are congruent triangles?
3
Yes - like radicals can be added/subtracted.
Triangles with same measure and same side lengths.
3

35. Simplify the expression [(b^2 - c^2) / (b - c)]
1
A+c<b+c
2²
(b + c)

36. Describe the relationship between 3x^2 and 3(x - 1)^2
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
x^(4+7) = x^11
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
C=2 x pi x r OR pi x D

37. What is an arc of a circle?
87.5%
An arc is a portion of a circumference of a circle.
F(x-c)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

38. The reciprocal of any non-zero #x is
1/x
Infinite.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A set with no members - denoted by a circle with a diagonal through it.

39. For any number x
55%
Can be negative - zero - or positive
(amount of decrease/original price) x 100%
Every number

40. What are 'Supplementary angles?'
4.25 - 6 - 22
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Two angles whose sum is 180.
0

41. a^2 + 2ab + b^2
P=4s (s=side)
(a + b)^2
A=½bh
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

42. Is 0 even or odd?
6 : 1 : 2
3x - 4x - 5x
Even
Negative

43. Can you simplify sqrt72?
1
x - x(SR3) - 2x
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

44. 1n
(b + c)
1
27^(-4)
18

45. Volume of a cube
Ø
A reflection about the origin.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Edge³

46. What is a percent?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
61 - 67
A percent is a fraction whose denominator is 100.
75:11

47. The larger the absolute value of the slope...
(a - b)(a + b)
13pi / 2
The steeper the slope.
A= (1/2) b*h

48. Factor a^2 + 2ab + b^2
The sum of digits is divisible by 9.
(a + b)^2
Undefined - because we can'T divide by 0.
Indeterminable.

49. 5/6 in percent?
6
Factors are few - multiples are many.
83.333%
NOT A PRIME

50. If a is negative and n is even then an is (positive or negative?)
6
An is positive
3
5