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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. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
F(x) + c
(a + b)^2
An angle which is supplementary to an interior angle.
2sqrt6

2. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
The second graph is less steep.
52
61 - 67

3. Can the input value of a function have more than one output value (i.e. x: y - y1)?
Move the decimal point to the right x places
No - the input value has exactly one output.
Diameter(Pi)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

4. Simplify the expression (p^2 - q^2)/ -5(q - p)
3/2 - 5/3
(p + q)/5
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
1.0843 X 10^11

5. 5x^2 - 35x -55 = 0
The curve opens downward and the vertex is the maximum point on the graph.
The set of elements found in both A and B.
Its last two digits are divisible by 4.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

6. What are congruent triangles?
12sqrt2
All numbers multiples of 1.
4:5
Triangles with same measure and same side lengths.

7. What number between 70 & 75 - inclusive - has the greatest number of factors?
II
72
A set with no members - denoted by a circle with a diagonal through it.
Yes - like radicals can be added/subtracted.

8. (a^-1)/a^5
52
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)
$11 -448
1/a^6

9. If an inequality is multiplied or divided by a negative number....
(amount of increase/original price) x 100%
The direction of the inequality is reversed.
4725
8

10. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
C = 2(pi)r
413.03 / 10^4 (move the decimal point 4 places to the left)
Factors are few - multiples are many.

11. What are the rational numbers?
The curve opens upward and the vertex is the minimal point on the graph.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1:sqrt3:2

12. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
N! / (n-k)!
71 - 73 - 79
Divide by 100.

13. Which quadrant is the lower left hand?
III
The curve opens downward and the vertex is the maximum point on the graph.
12sqrt2
An expression with just one term (-6x - 2a^2)

14. 7/8 in percent?
18
1
87.5%
10! / (10-3)! = 720

15. What are 'Supplementary angles?'
The empty set - denoted by a circle with a diagonal through it.
Two angles whose sum is 180.
.0004809 X 10^11
N! / (n-k)!

16. What is a minor arc?

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17. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
12sqrt2
4096
3
55%

18. What is the maximum value for the function g(x) = (-2x^2) -1?
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)
All numbers multiples of 1.
1
3/2 - 5/3

19. Whats the difference between factors and multiples?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
20.5
6
Factors are few - multiples are many.

20. What is an exterior angle?
An angle which is supplementary to an interior angle.
441000 = 1 10 10 10 21 * 21
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)
72

21. Pi is a ratio of what to what?

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22. 30< all primes<40
1:sqrt3:2
31 - 37
The greatest value minus the smallest.
A 30-60-90 triangle.

23. a^2 - b^2
An infinite set.
II
23 - 29
(a - b)(a + b)

24. To multiply a number by 10^x
(a - b)^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1
Move the decimal point to the right x places

25. What is the 'Range' of a function?
The greatest value minus the smallest.
The set of output values for a function.
The shortest arc between points A and B on a circle'S diameter.
3sqrt4

26. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
A reflection about the axis.
16.6666%
The greatest value minus the smallest.
2 & 3/7

27. What is a parabola?
An angle which is supplementary to an interior angle.
Ax^2 + bx + c where a -b and c are constants and a /=0
180
The sum of digits is divisible by 9.

28. 2sqrt4 + sqrt4 =
A reflection about the origin.
Triangles with same measure and same side lengths.
3sqrt4
1

29. What is the 'Solution' for a set of inequalities.
The overlapping sections.
(a - b)^2
10! / (10-3)! = 720
4:5

30. Factor a^2 + 2ab + b^2
(a + b)^2
Move the decimal point to the right x places
12.5%
A reflection about the axis.

31. How to find the area of a sector?
Relationship cannot be determined (what if x is negative?)
Angle/360 x (pi)r^2
(a - b)(a + b)
All numbers multiples of 1.

32. Evaluate (4^3)^2
4096
1/(x^y)
y = 2x^2 - 3
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

33. Length of an arc of a circle?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Angle/360 x 2(pi)r
y = (x + 5)/2
The overlapping sections.

34. x^6 / x^3
.0004809 X 10^11
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
x^(6-3) = x^3

35. P and r are factors of 100. What is greater - pr or 100?
.0004809 X 10^11
1 & 37/132
The greatest value minus the smallest.
Indeterminable.

36. Formula to find a circle'S circumference from its diameter?
6 : 1 : 2
A = I (1 + rt)
C = (pi)d
3/2 - 5/3

37. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
23 - 29
Triangles with same measure and same side lengths.
2 & 3/7
$11 -448

38. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Indeterminable.
Its divisible by 2 and by 3.
3sqrt4

39. Legs 5 - 12. Hypotenuse?
The overlapping sections.
13
87.5%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

40. A number is divisible by 6 if...
90 degrees
8
Its divisible by 2 and by 3.
16.6666%

41. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
No - only like radicals can be added.
The set of elements found in both A and B.
71 - 73 - 79

42. 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)]?
True
No - only like radicals can be added.
413.03 / 10^4 (move the decimal point 4 places to the left)
Divide by 100.

43. To convert a decimal to a percent...
3
1
Yes. [i.e. f(x) = x^2 - 1
...multiply by 100.

44. Number of degrees in a triangle
180
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The two xes after factoring.
90

45. What are the integers?
All numbers multiples of 1.
12.5%
(b + c)
A grouping of the members within a set based on a shared characteristic.

46. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
1:sqrt3:2
8
Pi is the ratio of a circle'S circumference to its diameter.
0

47. A number is divisible by 3 if ...
90 degrees
The sum of its digits is divisible by 3.
$11 -448
(p + q)/5

48. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
90
IV
Divide by 100.

49. What is a finite set?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A set with a number of elements which can be counted.
x^(6-3) = x^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

50. 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?
52
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 / 1000
C = 2(pi)r