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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.
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. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
Yes - like radicals can be added/subtracted.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Infinite.
The point of intersection of the systems.

2. x^4 + x^7 =
x^(4+7) = x^11
2.592 kg
N! / (n-k)!
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

3. What is the 'domain' of a function?
The set of input values for a function.
1
The overlapping sections.
The set of output values for a function.

4. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
1/a^6
Infinite.
1:sqrt3:2

5. What is the set of elements found in both A and B?
1/(x^y)
y = (x + 5)/2
4096
The interesection of A and B.

6. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
6
When the function is not defined for all real numbers -; only a subset of the real numbers.
A set with a number of elements which can be counted.

7. 40 < all primes<50
The union of A and B.
The second graph is less steep.
41 - 43 - 47
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

8. When does a function automatically have a restricted domain (2)?
The longest arc between points A and B on a circle'S diameter.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1
62.5%

9. Area of a triangle?
10! / (10-3)! = 720
9 : 25
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(base*height) / 2

10. (6sqrt3) x (2sqrt5) =
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
62.5%
83.333%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

11. 50 < all primes< 60
I
53 - 59
The sum of its digits is divisible by 3.
An isosceles right triangle.

12. How to find the diagonal of a rectangular solid?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
37.5%
13pi / 2
(b + c)

13. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
52
(a - b)(a + b)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
13pi / 2

14. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
x(x - y + 1)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
2.592 kg
2sqrt6

15. Order of quadrants:
x^(6-3) = x^3
0
From northeast - counterclockwise. I - II - III - IV
10! / 3!(10-3)! = 120

16. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
F(x + c)
1/(x^y)
Relationship cannot be determined (what if x is negative?)

17. a^2 + 2ab + b^2
A subset.
71 - 73 - 79
(a + b)^2
83.333%

18. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
2(pi)r^2 + 2(pi)rh
The empty set - denoted by a circle with a diagonal through it.
41 - 43 - 47

19. If the two sides of a triangle are unequal then the longer side...
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Lies opposite the greater angle
A set with no members - denoted by a circle with a diagonal through it.
67 - 71 - 73

20. The slope of a line perpendicular to (a/b)?
C = 2(pi)r
28. n = 8 - k = 2. n! / k!(n-k)!
Its negative reciprocal. (-b/a)
x^(2(4)) =x^8 = (x^4)^2

21. (a^-1)/a^5
6 : 1 : 2
13pi / 2
72
1/a^6

22. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
A circle centered at -2 - -2 with radius 3.
3
1/a^6
1.0843 X 10^11

23. 5/8 in percent?
62.5%
Pi is the ratio of a circle'S circumference to its diameter.
441000 = 1 10 10 10 21 * 21
Move the decimal point to the right x places

24. What are the members or elements of a set?
y = 2x^2 - 3
The objects within a set.
52
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

25. What is the formula for computing simple interest?
A = I (1 + rt)
A circle centered on the origin with radius 8.
Cd
6

26. What is the 'Solution' for a system of linear equations?
An infinite set.
The point of intersection of the systems.
2.592 kg
37.5%

27. What is the absolute value function?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
G(x) = {x}
13pi / 2
180

28. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
The curve opens upward and the vertex is the minimal point on the graph.
1:sqrt3:2
11 - 13 - 17 - 19

29. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
The point of intersection of the systems.
Factors are few - multiples are many.
Ax^2 + bx + c where a -b and c are constants and a /=0

30. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
20.5
1/2 times 7/3
7 / 1000

31. Convert 0.7% to a fraction.
7 / 1000
The direction of the inequality is reversed.
The curve opens downward and the vertex is the maximum point on the graph.
70

32. 60 < all primes <70
1/2 times 7/3
13pi / 2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
61 - 67

33. Surface area for a cylinder?
4a^2(b)
2(pi)r^2 + 2(pi)rh
An isosceles right triangle.
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.

34. What is the name for a grouping of the members within a set based on a shared characteristic?
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.
(p + q)/5
61 - 67
A subset.

35. a^0 =
A 30-60-90 triangle.
1
F(x) + c
$11 -448

36. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
180
Two angles whose sum is 90.
A reflection about the axis.

37. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Its divisible by 2 and by 3.
(a - b)(a + b)
A 30-60-90 triangle.
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)

38. Formula to find a circle'S circumference from its diameter?
The third side is greater than the difference and less than the sum.
1:1:sqrt2
The shortest arc between points A and B on a circle'S diameter.
C = (pi)d

39. To multiply a number by 10^x
Triangles with same measure and same side lengths.
Move the decimal point to the right x places
27^(-4)
6

40. 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?
83.333%
$3 -500 in the 9% and $2 -500 in the 7%.
1/(x^y)
The curve opens upward and the vertex is the minimal point on the graph.

41. Evaluate 4/11 + 11/12
A set with a number of elements which can be counted.
The greatest value minus the smallest.
90 degrees
1 & 37/132

42. x^(-y)=
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1/(x^y)
F(x + c)
31 - 37

43. What is the formula for compounded interest?
A subset.
53 - 59
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.
23 - 29

44. When the 'a' in the parabola is negative...
23 - 29
5
A = pi(r^2)
The curve opens downward and the vertex is the maximum point on the graph.

45. The objects in a set are called two names:
Members or elements
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
3sqrt4
1

46. What are 'Supplementary angles?'
53 - 59
Two angles whose sum is 90.
Two angles whose sum is 180.
An expression with just one term (-6x - 2a^2)

47. What percent of 40 is 22?
(amount of increase/original price) x 100%
0
55%
23 - 29

48. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
3sqrt4
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
41 - 43 - 47

49. Can the output value of a function have more than one input value?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
11 - 13 - 17 - 19
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Yes. [i.e. f(x) = x^2 - 1

50. Legs 5 - 12. Hypotenuse?
x(x - y + 1)
13
Relationship cannot be determined (what if x is negative?)
3

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