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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 it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
F(x) + c
1
A reflection about the origin.
72

2. What are the integers?
71 - 73 - 79
All numbers multiples of 1.
(p + q)/5
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

3. What is the name of set with a number of elements which cannot be counted?
4096
The set of input values for a function.
An infinite set.
71 - 73 - 79

4. Formula to find a circle'S circumference from its diameter?
C = (pi)d
A set with a number of elements which can be counted.
The third side is greater than the difference and less than the sum.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

5. Volume for a cylinder?
130pi
31 - 37
1.7
Area of the base X height = (pi)hr^2

6. What is an exterior angle?
53 - 59
2sqrt6
An angle which is supplementary to an interior angle.
$3 -500 in the 9% and $2 -500 in the 7%.

7. How to find the diagonal of a rectangular solid?
Sector area = (n/360) X (pi)r^2
6
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

8. 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
18
87.5%
(a + b)^2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

9. sqrt 2(sqrt 6)=
Sqrt 12
x^(4+7) = x^11
6 : 1 : 2
3

10. Define a 'Term' -
A = I (1 + rt)
Yes - like radicals can be added/subtracted.
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)
IV

11. 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)?
53 - 59
Indeterminable.
Yes - like radicals can be added/subtracted.
y = (x + 5)/2

12. 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))?
20.5
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
4725
13

13. What is a chord of a circle?
The set of input values for a function.
A chord is a line segment joining two points on a circle.
18
1

14. What is the graph of f(x) shifted downward c units or spaces?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
F(x) - c
3/2 - 5/3
12! / 5!7! = 792

15. 3/8 in percent?
Two equal sides and two equal angles.
37.5%
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)
The longest arc between points A and B on a circle'S diameter.

16. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
The overlapping sections.
130pi
Relationship cannot be determined (what if x is negative?)

17. What is the 'Range' of a function?
The set of output values for a function.
55%
13
I

18. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(a - b)(a + b)
The set of elements found in both A and B.
31 - 37

19. a^2 - b^2
Factors are few - multiples are many.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
67 - 71 - 73
(a - b)(a + b)

20. Legs: 3 - 4. Hypotenuse?
5
G(x) = {x}
(base*height) / 2
2^9 / 2 = 256

21. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
The longest arc between points A and B on a circle'S diameter.
90 degrees
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(base*height) / 2

22. What is a piecewise equation?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
1/(x^y)
The sum of digits is divisible by 9.
The union of A and B.

23. Describe the relationship between the graphs of x^2 and (1/2)x^2
10! / 3!(10-3)! = 120
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
5 OR -5
The second graph is less steep.

24. In a regular polygon with n sides - the formula for the sum of interior angles
5 OR -5
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...
The set of input values for a function.
(n-2) x 180

25. How to determine percent decrease?
The sum of its digits is divisible by 3.
(amount of decrease/original price) x 100%
Move the decimal point to the right x places
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

26. What is the surface area of a cylinder with radius 5 and height 8?
130pi
Yes. [i.e. f(x) = x^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
0

27. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
Infinite.
5 OR -5
The set of elements found in both A and B.

28. Formula for the area of a circle?
Two equal sides and two equal angles.
Sqrt 12
A = pi(r^2)
The sum of digits is divisible by 9.

29. What is the slope of a vertical line?

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30. 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?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The set of output values for a function.
10! / 3!(10-3)! = 120
5

31. Surface area for a cylinder?
A grouping of the members within a set based on a shared characteristic.
(a - b)(a + b)
2(pi)r^2 + 2(pi)rh
3/2 - 5/3

32. What are complementary angles?
Undefined - because we can'T divide by 0.
Sqrt 12
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Two angles whose sum is 90.

33. If an inequality is multiplied or divided by a negative number....
The third side is greater than the difference and less than the sum.
x^(4+7) = x^11
4a^2(b)
The direction of the inequality is reversed.

34. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
2
A reflection about the origin.

35. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
(n-2) x 180
13
Factors are few - multiples are many.

36. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
13
12! / 5!7! = 792
Its divisible by 2 and by 3.
(base*height) / 2

37. Is 0 even or odd?
70
Even
87.5%
x^(2(4)) =x^8 = (x^4)^2

38. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
2^9 / 2 = 256
1
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

39. What is the formula for computing simple interest?
1
A = I (1 + rt)
Two equal sides and two equal angles.
28. n = 8 - k = 2. n! / k!(n-k)!

40. To multiply a number by 10^x
Move the decimal point to the right x places
x^(2(4)) =x^8 = (x^4)^2
1/a^6
The two xes after factoring.

41. Which quadrant is the upper right hand?
(base*height) / 2
N! / (k!)(n-k)!
I
1 & 37/132

42. What is the graph of f(x) shifted left c units or spaces?
The set of input values for a function.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
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)
F(x + c)

43. When the 'a' in the parabola is negative...
Its negative reciprocal. (-b/a)
The curve opens downward and the vertex is the maximum point on the graph.
The shortest arc between points A and B on a circle'S diameter.
1

44. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
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...
y = (x + 5)/2

45. Evaluate 3& 2/7 / 1/3
9 & 6/7
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Two angles whose sum is 90.
52

46. 10<all primes<20
Diameter(Pi)
11 - 13 - 17 - 19
1/(x^y)
x(x - y + 1)

47. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
2(pi)r^2 + 2(pi)rh
1/(x^y)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

48. A number is divisible by 3 if ...
The curve opens upward and the vertex is the minimal point on the graph.
1.7
The sum of its digits is divisible by 3.
Its divisible by 2 and by 3.

49. What does the graph x^2 + y^2 = 64 look like?
A circle centered on the origin with radius 8.
The two xes after factoring.
The set of elements found in both A and B.
Relationship cannot be determined (what if x is negative?)

50. 1/8 in percent?
12.5%
The greatest value minus the smallest.
75:11
Pi is the ratio of a circle'S circumference to its diameter.

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GRE Math: Common Errors

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