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GRE Math: Common Errors

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 left c units or spaces?
0
All numbers multiples of 1.
48
F(x + c)

2. What is the 'Restricted domain of a function'?
The steeper the slope.
When the function is not defined for all real numbers -; only a subset of the real numbers.
90pi
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

3. What is the name of set with a number of elements which cannot be counted?
1:1:sqrt2
13
The interesection of A and B.
An infinite set.

4. Is 0 even or odd?
288 (8 9 4)
Cd
The empty set - denoted by a circle with a diagonal through it.
Even

5. 4.809 X 10^7 =
Pi is the ratio of a circle'S circumference to its diameter.
.0004809 X 10^11
2sqrt6
No - the input value has exactly one output.

6. x^6 / x^3
Infinite.
55%
x^(6-3) = x^3
90

7. What is the side length of an equilateral triangle with altitude 6?
The direction of the inequality is reversed.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
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)(a + b)

8. What are the irrational numbers?

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9. A number is divisible by 6 if...
Its divisible by 2 and by 3.
A set with a number of elements which can be counted.
Sector area = (n/360) X (pi)r^2
.0004809 X 10^11

10. What is a finite set?
A set with a number of elements which can be counted.
0
Triangles with same measure and same side lengths.
y = 2x^2 - 3

11. A number is divisible by 3 if ...
23 - 29
The sum of its digits is divisible by 3.
y = 2x^2 - 3
No - only like radicals can be added.

12. What is a tangent?
2
The shortest arc between points A and B on a circle'S diameter.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A tangent is a line that only touches one point on the circumference of a circle.

13. Volume for a cylinder?
Area of the base X height = (pi)hr^2
Triangles with same measure and same side lengths.
18
1:1:sqrt2

14. What is the surface area of a cylinder with radius 5 and height 8?
4096
1
The two xes after factoring.
130pi

15. What is the 'Range' of a function?
Diameter(Pi)
Indeterminable.
7 / 1000
The set of output values for a function.

16. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
90 degrees
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Cd
The longest arc between points A and B on a circle'S diameter.

17. Can you subtract 3sqrt4 from sqrt4?
A set with no members - denoted by a circle with a diagonal through it.
The longest arc between points A and B on a circle'S diameter.
Relationship cannot be determined (what if x is negative?)
Yes - like radicals can be added/subtracted.

18. (-1)^3 =
1
Divide by 100.
3
Ax^2 + bx + c where a -b and c are constants and a /=0

19. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
From northeast - counterclockwise. I - II - III - IV
13
Part = Percent X Whole

20. What is the graph of f(x) shifted downward c units or spaces?
(amount of decrease/original price) x 100%
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
2
F(x) - c

21. How to determine percent decrease?
Members or elements
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
(amount of decrease/original price) x 100%
71 - 73 - 79

22. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
90
1/a^6
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

23. How many 3-digit positive integers are even and do not contain the digit 4?
The set of input values for a function.
70
288 (8 9 4)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

24. 6w^2 - w - 15 = 0
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Relationship cannot be determined (what if x is negative?)
3/2 - 5/3
1

25. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
x= (1.2)(.8)lw
75:11
13pi / 2
2sqrt6

26. What are the members or elements of a set?
180 degrees
No - only like radicals can be added.
The objects within a set.
$11 -448

27. In a regular polygon with n sides - the formula for the sum of interior angles
(a + b)^2
(n-2) x 180
18
II

28. What does the graph x^2 + y^2 = 64 look like?
90
A circle centered on the origin with radius 8.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
72

29. Evaluate (4^3)^2
4096
71 - 73 - 79
III
The set of input values for a function.

30. 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
28. n = 8 - k = 2. n! / k!(n-k)!
(a - b)(a + b)
6

31. 70 < all primes< 80
Divide by 100.
90 degrees
x^(6-3) = x^3
71 - 73 - 79

32. 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?
G(x) = {x}
A set with a number of elements which can be counted.
The two xes after factoring.
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

33. What is the 'domain' of a function?
The set of input values for a function.
I
Move the decimal point to the right x places
1:1:sqrt2

34. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
4725
2
Two equal sides and two equal angles.
90pi

35. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
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)
III
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
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)

36. Factor x^2 - xy + x.
Even
x^(6-3) = x^3
2
x(x - y + 1)

37. x^(-y)=
Even
12! / 5!7! = 792
Cd
1/(x^y)

38. If the two sides of a triangle are unequal then the longer side...
1
Lies opposite the greater angle
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...
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

39. Find the surface area of a cylinder with radius 3 and height 12.
90pi
x^(6-3) = x^3
The curve opens upward and the vertex is the minimal point on the graph.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

40. 1/2 divided by 3/7 is the same as
1/2 times 7/3
2
75:11
70

41. What is a piecewise equation?
72
The set of elements found in both A and B.
The point of intersection of the systems.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

42. 40 < all primes<50
A circle centered on the origin with radius 8.
y = 2x^2 - 3
41 - 43 - 47
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

43. Simplify the expression [(b^2 - c^2) / (b - c)]
(amount of increase/original price) x 100%
The set of input values for a function.
2.592 kg
(b + c)

44. What does scientific notation mean?
12! / 5!7! = 792
67 - 71 - 73
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
3

45. How many sides does a hexagon have?
500
52
6
18

46. What is the area of a regular hexagon with side 6?
1
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
2(pi)r^2 + 2(pi)rh
(n-2) x 180

47. If an inequality is multiplied or divided by a negative number....
13
Undefined - because we can'T divide by 0.
The direction of the inequality is reversed.
12! / 5!7! = 792

48. a^2 - b^2
(p + q)/5
Cd
(a - b)(a + b)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

49. Legs 5 - 12. Hypotenuse?
75:11
13
16.6666%
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

50. 5/6 in percent?
83.333%
(amount of increase/original price) x 100%
y = (x + 5)/2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a