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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 a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
The union of A and B.
Sqrt 12
441000 = 1 10 10 10 21 * 21

2. Factor a^2 + 2ab + b^2
(a + b)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
3 - -3
Yes - like radicals can be added/subtracted.

3. Simplify the expression [(b^2 - c^2) / (b - c)]
Ax^2 + bx + c where a -b and c are constants and a /=0
A chord is a line segment joining two points on a circle.
(b + c)
11 - 13 - 17 - 19

4. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
48
2 & 3/7
Yes. [i.e. f(x) = x^2 - 1
75:11

5. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
$11 -448
90
180 degrees

6. x^(-y)=
Yes - like radicals can be added/subtracted.
G(x) = {x}
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1/(x^y)

7. 60 < all primes <70
N! / (n-k)!
61 - 67
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The sum of its digits is divisible by 3.

8. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
(n-2) x 180
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

9. What is the percent formula?
A circle centered on the origin with radius 8.
500
8
Part = Percent X Whole

10. a^2 - b^2 =
(a - b)(a + b)
6
A set with a number of elements which can be counted.
N! / (n-k)!

11. Solve the quadratic equation ax^2 + bx + c= 0
(a - b)^2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Two angles whose sum is 90.

12. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
Undefined
G(x) = {x}
Ax^2 + bx + c where a -b and c are constants and a /=0

13. What is the formula for compounded interest?
70
(a - 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.
Its divisible by 2 and by 3.

14. 30< all primes<40
Diameter(Pi)
3 - -3
A = I (1 + rt)
31 - 37

15. What is the measure of an exterior angle of a regular pentagon?
72
5 OR -5
10! / 3!(10-3)! = 120
N! / (k!)(n-k)!

16. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
When the function is not defined for all real numbers -; only a subset of the real numbers.
The longest arc between points A and B on a circle'S diameter.
Even

17. 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?
3
(amount of decrease/original price) x 100%
N! / (k!)(n-k)!
52

18. How to find the area of a sector?
The two xes after factoring.
Angle/360 x (pi)r^2
x^(2(4)) =x^8 = (x^4)^2
4.25 - 6 - 22

19. When the 'a' in a parabola is positive....
441000 = 1 10 10 10 21 * 21
The curve opens upward and the vertex is the minimal point on the graph.
130pi
Area of the base X height = (pi)hr^2

20. Area of a triangle?
The direction of the inequality is reversed.
31 - 37
A = I (1 + rt)
(base*height) / 2

21. If the two sides of a triangle are unequal then the longer side...
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
C = 2(pi)r
130pi
Lies opposite the greater angle

22. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
III
The second graph is less steep.

23. What is an arc of a circle?
0
An arc is a portion of a circumference of a circle.
72
y = 2x^2 - 3

24. 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.
3sqrt4
N! / (n-k)!
The point of intersection of the systems.

25. What is an exterior angle?
10! / (10-3)! = 720
An angle which is supplementary to an interior angle.
x^(4+7) = x^11
70

26. 5x^2 - 35x -55 = 0
F(x) - c
Lies opposite the greater angle
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The greatest value minus the smallest.

27. What is the set of elements which can be found in either A or B?
2 & 3/7
The union of A and B.
The set of elements which can be found in either A or B.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

28. 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?
F(x + c)
10! / 3!(10-3)! = 120
True
Its last two digits are divisible by 4.

29. What is the maximum value for the function g(x) = (-2x^2) -1?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1
5
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

30. Max and Min lengths for a side of a triangle?
55%
The third side is greater than the difference and less than the sum.
From northeast - counterclockwise. I - II - III - IV
1

31. 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?
$3 -500 in the 9% and $2 -500 in the 7%.
48
A 30-60-90 triangle.
413.03 / 10^4 (move the decimal point 4 places to the left)

32. 20<all primes<30
53 - 59
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)
23 - 29
13

33. Legs: 3 - 4. Hypotenuse?
1:1:sqrt2
F(x) - c
5
A = pi(r^2)

34. Define an 'expression'.
28. n = 8 - k = 2. n! / k!(n-k)!
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)
6
Indeterminable.

35. Which is greater? 27^(-4) or 9^(-8)
4.25 - 6 - 22
(a + b)^2
288 (8 9 4)
27^(-4)

36. (x^2)^4
The curve opens downward and the vertex is the maximum point on the graph.
x^(2(4)) =x^8 = (x^4)^2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
C = 2(pi)r

37. What is a central angle?
y = 2x^2 - 3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Members or elements
A central angle is an angle formed by 2 radii.

38. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
x^(4+7) = x^11
True
Cd
9 & 6/7

39. What are the irrational numbers?

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40. 413.03 x 10^(-4) =
Yes. [i.e. f(x) = x^2 - 1
413.03 / 10^4 (move the decimal point 4 places to the left)
Two equal sides and two equal angles.
An isosceles right triangle.

41. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
A tangent is a line that only touches one point on the circumference of a circle.
4.25 - 6 - 22
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
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

42. To convert a decimal to a percent...
...multiply by 100.
... the square of the ratios of the corresponding sides.
$3 -500 in the 9% and $2 -500 in the 7%.
The second graph is less steep.

43. (-1)^2 =
The set of output values for a function.
A circle centered at -2 - -2 with radius 3.
The sum of digits is divisible by 9.
1

44. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
The empty set - denoted by a circle with a diagonal through it.
12sqrt2
61 - 67

45. What is the slope of a vertical line?

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46. Length of an arc of a circle?
Lies opposite the greater angle
48
Angle/360 x 2(pi)r
x^(2(4)) =x^8 = (x^4)^2

47. What is the 'Solution' for a system of linear equations?
180
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

48. Pi is a ratio of what to what?

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49. Formula of rectangle where l increases by 20% and w decreases by 20%
The curve opens upward and the vertex is the minimal point on the graph.
71 - 73 - 79
x= (1.2)(.8)lw
y = 2x^2 - 3

50. Surface area for a cylinder?
(a + b)^2
23 - 29
83.333%
2(pi)r^2 + 2(pi)rh