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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. (-1)^2 =
III
A reflection about the axis.
1
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

2. What percent of 40 is 22?
y = 2x^2 - 3
55%
Triangles with same measure and same side lengths.
C = (pi)d

3. Define a 'monomial'
1
An expression with just one term (-6x - 2a^2)
Its last two digits are divisible by 4.
1:sqrt3:2

4. Number of degrees in a triangle
The sum of its digits is divisible by 3.
The set of elements found in both A and B.
No - only like radicals can be added.
180

5. What does the graph x^2 + y^2 = 64 look like?
62.5%
A reflection about the axis.
A chord is a line segment joining two points on a circle.
A circle centered on the origin with radius 8.

6. Legs 5 - 12. Hypotenuse?
A tangent is a line that only touches one point on the circumference of a circle.
The second graph is less steep.
4.25 - 6 - 22
13

7. Find the surface area of a cylinder with radius 3 and height 12.
When the function is not defined for all real numbers -; only a subset of the real numbers.
The set of elements which can be found in either A or B.
90pi
Arc length = (n/360) x pi(2r) where n is the number of degrees.

8. Max and Min lengths for a side of a triangle?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
8
The two xes after factoring.
The third side is greater than the difference and less than the sum.

9. What is the set of elements found in both A and B?
55%
A = I (1 + rt)
441000 = 1 10 10 10 21 * 21
The interesection of A and B.

10. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
C = (pi)d
4:5
The set of output values for a function.
N! / (k!)(n-k)!

11. The slope of a line perpendicular to (a/b)?
1.7
Its negative reciprocal. (-b/a)
A 30-60-90 triangle.
3/2 - 5/3

12. What is a piecewise equation?
All numbers multiples of 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.
IV
37.5%

13. 60 < all primes <70
C = (pi)d
F(x-c)
9 & 6/7
61 - 67

14. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
6 : 1 : 2
An arc is a portion of a circumference of a circle.
(amount of increase/original price) x 100%

15. Surface area for a cylinder?
2(pi)r^2 + 2(pi)rh
11 - 13 - 17 - 19
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
4a^2(b)

16. What is a parabola?
83.333%
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The sum of digits is divisible by 9.
Ax^2 + bx + c where a -b and c are constants and a /=0

17. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
8
2 & 3/7
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)
500

18. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Relationship cannot be determined (what if x is negative?)
The set of elements which can be found in either A or B.
52

19. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
4.25 - 6 - 22
4a^2(b)
Angle/360 x (pi)r^2
8

20. Can you add sqrt 3 and sqrt 5?
A circle centered on the origin with radius 8.
No - only like radicals can be added.
Cd
The set of output values for a function.

21. x^4 + x^7 =
Its negative reciprocal. (-b/a)
N! / (n-k)!
x^(4+7) = x^11
12! / 5!7! = 792

22. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
An expression with just one term (-6x - 2a^2)
413.03 / 10^4 (move the decimal point 4 places to the left)
The overlapping sections.

23. Is 0 even or odd?
(amount of decrease/original price) x 100%
10! / 3!(10-3)! = 120
67 - 71 - 73
Even

24. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
(a + b)^2
The curve opens upward and the vertex is the minimal point on the graph.
Two angles whose sum is 180.
0

25. x^(-y)=
1/(x^y)
10
5 OR -5
0

26. What is the graph of f(x) shifted right c units or spaces?
Infinite.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Cd
F(x-c)

27. Legs: 3 - 4. Hypotenuse?
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)
Yes - like radicals can be added/subtracted.
5
Its last two digits are divisible by 4.

28. What is the name for a grouping of the members within a set based on a shared characteristic?
5
A subset.
0
Divide by 100.

29. What are complementary angles?
12.5%
III
Two angles whose sum is 90.
1

30. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Angle/360 x 2(pi)r
Undefined
61 - 67

31. The larger the absolute value of the slope...
The direction of the inequality is reversed.
The third side is greater than the difference and less than the sum.
A circle centered on the origin with radius 8.
The steeper the slope.

32. What is the ratio of the sides of a 30-60-90 triangle?
53 - 59
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
1:sqrt3:2
Factors are few - multiples are many.

33. When the 'a' in a parabola is positive....
(b + c)
The curve opens upward and the vertex is the minimal point on the graph.
1/(x^y)
The steeper the slope.

34. What is the 'Range' of a function?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
6 : 1 : 2
The set of output values for a function.

35. 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
3 - -3
Divide by 100.
$3 -500 in the 9% and $2 -500 in the 7%.
18

36. What is the slope of a vertical line?

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37. a^2 - b^2 =
5 OR -5
4096
(a - b)(a + b)
Part = Percent X Whole

38. Define a 'Term' -
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)
Even
Two equal sides and two equal angles.
90 degrees

39. 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?
10! / 3!(10-3)! = 120
48
41 - 43 - 47
2.592 kg

40. 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)?
y = (x + 5)/2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Angle/360 x 2(pi)r
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.

41. Which is greater? 200x^295 or 10x^294?
Members or elements
x^(4+7) = x^11
I
Relationship cannot be determined (what if x is negative?)

42. Solve the quadratic equation ax^2 + bx + c= 0
A = pi(r^2)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
y = 2x^2 - 3

43. What is the formula for computing simple interest?
An expression with just one term (-6x - 2a^2)
87.5%
1:1:sqrt2
A = I (1 + rt)

44. What is the empty set?
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)
A set with no members - denoted by a circle with a diagonal through it.
A set with a number of elements which can be counted.
... the square of the ratios of the corresponding sides.

45. What are the roots of the quadrinomial x^2 + 2x + 1?
55%
The steeper the slope.
70
The two xes after factoring.

46. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
N! / (k!)(n-k)!
F(x) + c
2 & 3/7
1 & 37/132

47. Factor a^2 + 2ab + b^2
(a + b)^2
41 - 43 - 47
The longest arc between points A and B on a circle'S diameter.
413.03 / 10^4 (move the decimal point 4 places to the left)

48. Can you simplify sqrt72?
1:sqrt3:2
Members or elements
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The longest arc between points A and B on a circle'S diameter.

49. 1/8 in percent?
A set with a number of elements which can be counted.
.0004809 X 10^11
2.592 kg
12.5%

50. What is a finite set?
Area of the base X height = (pi)hr^2
52
G(x) = {x}
A set with a number of elements which can be counted.