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GRE Math: Common Errors

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 'union' of A and B?
The set of elements which can be found in either A or B.
When the function is not defined for all real numbers -; only a subset of the real numbers.
130pi
Two angles whose sum is 90.

2. 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?
5
48
71 - 73 - 79
20.5

3. P and r are factors of 100. What is greater - pr or 100?
27^(-4)
When the function is not defined for all real numbers -; only a subset of the real numbers.
5 OR -5
Indeterminable.

4. 70 < all primes< 80
Factors are few - multiples are many.
71 - 73 - 79
A set with a number of elements which can be counted.
(a - b)(a + b)

5. What is the order of operations?
A 30-60-90 triangle.
Yes. [i.e. f(x) = x^2 - 1
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
2 & 3/7

6. What is a major arc?

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7. Solve the quadratic equation ax^2 + bx + c= 0
1
5
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

8. Max and Min lengths for a side of a triangle?
2.592 kg
Diameter(Pi)
The third side is greater than the difference and less than the sum.
.0004809 X 10^11

9. 1/6 in percent?
The empty set - denoted by a circle with a diagonal through it.
4096
16.6666%
2(pi)r^2 + 2(pi)rh

10. What is the side length of an equilateral triangle with altitude 6?
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...
3
An angle which is supplementary to an interior angle.
An isosceles right triangle.

11. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A= I (1 + (r/c))^tC - where I is the investment - C is the number of times compounded annually - and t is the number of years.
A reflection about the axis.
Yes. [i.e. f(x) = x^2 - 1
441000 = 1 10 10 10 21 * 21

12. Formula for the area of a sector of a circle?
IV
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Sector area = (n/360) X (pi)r^2
A 30-60-90 triangle.

13. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
An arc is a portion of a circumference of a circle.
A tangent is a line that only touches one point on the circumference of a circle.
441000 = 1 10 10 10 21 * 21
No - only like radicals can be added.

14. 6w^2 - w - 15 = 0
y = 2x^2 - 3
A = pi(r^2)
1.7
3/2 - 5/3

15. Describe the relationship between the graphs of x^2 and (1/2)x^2
Members or elements
(p + q)/5
Infinite.
The second graph is less steep.

16. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
2^9 / 2 = 256
The overlapping sections.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

17. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
II
8
An expression with just one term (-6x - 2a^2)

18. To convert a decimal to a percent...
...multiply by 100.
An isosceles right triangle.
The empty set - denoted by a circle with a diagonal through it.
28. n = 8 - k = 2. n! / k!(n-k)!

19. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
The sum of its digits is divisible by 3.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
2sqrt6
A circle centered at -2 - -2 with radius 3.

20. What is the set of elements which can be found in either A or B?
The union of A and B.
An angle which is supplementary to an interior angle.
1
72

21. What is the graph of f(x) shifted right c units or spaces?
(amount of increase/original price) x 100%
The interesection of A and B.
90
F(x-c)

22. What is the ratio of the sides of a 30-60-90 triangle?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1
1:sqrt3:2
7 / 1000

23. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
$3 -500 in the 9% and $2 -500 in the 7%.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

24. Volume for a cylinder?
Members or elements
Area of the base X height = (pi)hr^2
62.5%
...multiply by 100.

25. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
A circle centered at -2 - -2 with radius 3.
A set with no members - denoted by a circle with a diagonal through it.
$3 -500 in the 9% and $2 -500 in the 7%.

26. What is the maximum value for the function g(x) = (-2x^2) -1?
8
72
(a - b)(a + b)
1

27. What is the 'domain' of a function?
G(x) = {x}
Its divisible by 2 and by 3.
From northeast - counterclockwise. I - II - III - IV
The set of input values for a function.

28. If the two sides of a triangle are unequal then the longer side...
11 - 13 - 17 - 19
Lies opposite the greater angle
28. n = 8 - k = 2. n! / k!(n-k)!
N! / (n-k)!

29. The objects in a set are called two names:
Members or elements
11 - 13 - 17 - 19
A circle centered at -2 - -2 with radius 3.
Yes. [i.e. f(x) = x^2 - 1

30. 25^(1/2) or sqrt. 25 =
9 & 6/7
An angle which is supplementary to an interior angle.
5 OR -5
Sqrt 12

31. Can the output value of a function have more than one input value?
The set of input values for a function.
18
Yes. [i.e. f(x) = x^2 - 1
4.25 - 6 - 22

32. Formula to find a circle'S circumference from its diameter?
IV
C = (pi)d
x^(2(4)) =x^8 = (x^4)^2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

33. Legs 5 - 12. Hypotenuse?
Lies opposite the greater angle
13
All numbers multiples of 1.
A set with a number of elements which can be counted.

34. 413.03 x 10^(-4) =
6
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
413.03 / 10^4 (move the decimal point 4 places to the left)
55%

35. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Lies opposite the greater angle
No - the input value has exactly one output.
2 & 3/7
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

36. Which quadrant is the upper left hand?
61 - 67
y = 2x^2 - 3
II
No - the input value has exactly one output.

37. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
IV
87.5%
2(pi)r^2 + 2(pi)rh

38. a^2 - 2ab + b^2
C = (pi)d
(a - b)^2
1
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

39. Legs: 3 - 4. Hypotenuse?
5
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
2(pi)r^2 + 2(pi)rh
The set of input values for a function.

40. When the 'a' in a parabola is positive....
The curve opens upward and the vertex is the minimal point on the graph.
7 / 1000
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Relationship cannot be determined (what if x is negative?)

41. What is the name of set with a number of elements which cannot be counted?
413.03 / 10^4 (move the decimal point 4 places to the left)
10! / (10-3)! = 720
The two xes after factoring.
An infinite set.

42. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
The set of input values for a function.
72
F(x) + c
4:5

43. 10<all primes<20
1.7
A = pi(r^2)
An arc is a portion of a circumference of a circle.
11 - 13 - 17 - 19

44. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
A circle centered at -2 - -2 with radius 3.
Cd
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
10! / 3!(10-3)! = 120

45. What is the surface area of a cylinder with radius 5 and height 8?
83.333%
10
130pi
A reflection about the origin.

46. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
18
The set of elements which can be found in either A or B.
An isosceles right triangle.
y = 2x^2 - 3

47. What is the set of elements found in both A and B?
27^(-4)
1
The steeper the slope.
The interesection of A and B.

48. When does a function automatically have a restricted domain (2)?
An isosceles right triangle.
A circle centered on the origin with radius 8.
52
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

49. Which quadrant is the upper right hand?
6
8
When the function is not defined for all real numbers -; only a subset of the real numbers.
I

50. What is a tangent?
413.03 / 10^4 (move the decimal point 4 places to the left)
A tangent is a line that only touches one point on the circumference of a circle.
87.5%
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)

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GRE Math: Common Errors

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