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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 formula for computing simple interest?
1
Infinite.
The point of intersection of the systems.
A = I (1 + rt)

2. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
IV
A circle centered at -2 - -2 with radius 3.
2^9 / 2 = 256

3. a^0 =
9 : 25
1
71 - 73 - 79
A reflection about the axis.

4. 10^6 has how many zeroes?
6
70
.0004809 X 10^11
The two xes after factoring.

5. Which quadrant is the upper left hand?
4:5
16.6666%
1.7
II

6. 1/2 divided by 3/7 is the same as
y = 2x^2 - 3
An expression with just one term (-6x - 2a^2)
1/2 times 7/3
Ax^2 + bx + c where a -b and c are constants and a /=0

7. Write 10 -843 X 10^7 in scientific notation
4725
N! / (k!)(n-k)!
(b + c)
1.0843 X 10^11

8. What is the area of a regular hexagon with side 6?
90pi
(p + q)/5
x^(4+7) = x^11
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

9. 60 < all primes <70
Relationship cannot be determined (what if x is negative?)
72
61 - 67
87.5%

10. 6w^2 - w - 15 = 0
3/2 - 5/3
75:11
62.5%
.0004809 X 10^11

11. 5x^2 - 35x -55 = 0
413.03 / 10^4 (move the decimal point 4 places to the left)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
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)
Pi is the ratio of a circle'S circumference to its diameter.

12. Can you add sqrt 3 and sqrt 5?
An isosceles right triangle.
6
No - only like radicals can be added.
Part = Percent X Whole

13. How to determine percent increase?
70
1
16.6666%
(amount of increase/original price) x 100%

14. What is a piecewise equation?
288 (8 9 4)
90
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/a^6

15. What is an isoceles triangle?
A central angle is an angle formed by 2 radii.
Indeterminable.
Triangles with same measure and same side lengths.
Two equal sides and two equal angles.

16. 8.84 / 5.2
12! / 5!7! = 792
The empty set - denoted by a circle with a diagonal through it.
Pi is the ratio of a circle'S circumference to its diameter.
1.7

17. x^2 = 9. What is the value of x?
The empty set - denoted by a circle with a diagonal through it.
F(x-c)
23 - 29
3 - -3

18. What is an arc of a circle?
6
An arc is a portion of a circumference of a circle.
72
A central angle is an angle formed by 2 radii.

19. 20<all primes<30
G(x) = {x}
3sqrt4
75:11
23 - 29

20. What are congruent triangles?
5
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Triangles with same measure and same side lengths.

21. What is the measure of an exterior angle of a regular pentagon?
Yes - like radicals can be added/subtracted.
72
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)
13

22. How to determine percent decrease?
288 (8 9 4)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(amount of decrease/original price) x 100%
Undefined - because we can'T divide by 0.

23. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
10! / (10-3)! = 720
x= (1.2)(.8)lw
18
4096

24. Order of quadrants:
Even
From northeast - counterclockwise. I - II - III - IV
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
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)

25. Number of degrees in a triangle
7 / 1000
180
The set of elements which can be found in either A or B.
The interesection of A and B.

26. a^2 + 2ab + b^2
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.
1
(a + b)^2
55%

27. (-1)^2 =
5 OR -5
1
An arc is a portion of a circumference of a circle.
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)

28. What is a minor arc?

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29. 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?
x= (1.2)(.8)lw
0
$3 -500 in the 9% and $2 -500 in the 7%.
53 - 59

30. In a regular polygon with n sides - the formula for the sum of interior angles
Yes - like radicals can be added/subtracted.
9 : 25
53 - 59
(n-2) x 180

31. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
62.5%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1

32. (x^2)^4
1/a^6
x^(2(4)) =x^8 = (x^4)^2
A chord is a line segment joining two points on a circle.
x^(4+7) = x^11

33. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
F(x + c)
9 & 6/7
Part = Percent X Whole
2 & 3/7

34. The ratio of the areas of two similar polygons is ...
3
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
Pi is the ratio of a circle'S circumference to its diameter.
... the square of the ratios of the corresponding sides.

35. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
A central angle is an angle formed by 2 radii.
The curve opens upward and the vertex is the minimal point on the graph.
5

36. 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)?
Area of the base X height = (pi)hr^2
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)
1
y = (x + 5)/2

37. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
3/2 - 5/3
1
N! / (n-k)!
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

38. The slope of a line perpendicular to (a/b)?
3/2 - 5/3
71 - 73 - 79
Sector area = (n/360) X (pi)r^2
Its negative reciprocal. (-b/a)

39. Simplify the expression [(b^2 - c^2) / (b - c)]
130pi
(b + c)
12! / 5!7! = 792
Even

40. When does a function automatically have a restricted domain (2)?
The greatest value minus the smallest.
y = 2x^2 - 3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
288 (8 9 4)

41. Whats the difference between factors and multiples?
(amount of increase/original price) x 100%
Two equal sides and two equal angles.
Factors are few - multiples are many.
The union of A and B.

42. When the 'a' in a parabola is positive....
(a + b)^2
The curve opens upward and the vertex is the minimal point on the graph.
1/(x^y)
The greatest value minus the smallest.

43. What is the maximum value for the function g(x) = (-2x^2) -1?
10! / (10-3)! = 720
1
Cd
(a + b)^2

44. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
An expression with just one term (-6x - 2a^2)
Part = Percent X Whole
3
75:11

45. What is the percent formula?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
67 - 71 - 73
Part = Percent X Whole
28. n = 8 - k = 2. n! / k!(n-k)!

46. (6sqrt3) x (2sqrt5) =
F(x + c)
4a^2(b)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
II

47. a^2 - b^2
(a - b)(a + b)
20.5
A tangent is a line that only touches one point on the circumference of a circle.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

48. The larger the absolute value of the slope...
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The steeper the slope.
13
Its divisible by 2 and by 3.

49. Can the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 1
Part = Percent X Whole
(a + b)^2
A = I (1 + rt)

50. How many 3-digit positive integers are even and do not contain the digit 4?
.0004809 X 10^11
The sum of its digits is divisible by 3.
288 (8 9 4)
3 - -3