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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. Describe the relationship between 3x^2 and 3(x - 1)^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)
An isosceles right triangle.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Ax^2 + bx + c where a -b and c are constants and a /=0

2. What are congruent triangles?
The interesection of A and B.
(amount of increase/original price) x 100%
Triangles with same measure and same side lengths.
1

3. What is a minor arc?

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4. What are the rational numbers?
The second graph is less steep.
x= (1.2)(.8)lw
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

5. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
...multiply by 100.
$11 -448
(base*height) / 2

6. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
Undefined - because we can'T divide by 0.
180
A set with no members - denoted by a circle with a diagonal through it.

7. What is the intersection of A and B?
A chord is a line segment joining two points on a circle.
The set of elements found in both A and B.
A circle centered on the origin with radius 8.
2^9 / 2 = 256

8. (-1)^3 =
3 - -3
1
(b + c)
C = (pi)d

9. 10<all primes<20
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
11 - 13 - 17 - 19
A chord is a line segment joining two points on a circle.
1

10. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
27^(-4)
Yes. [i.e. f(x) = x^2 - 1
x^(6-3) = x^3

11. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
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...
Pi is the ratio of a circle'S circumference to its diameter.
An arc is a portion of a circumference of a circle.

12. How to determine percent increase?
4a^2(b)
12.5%
(amount of increase/original price) x 100%
Its divisible by 2 and by 3.

13. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
An infinite set.
(p + q)/5
The second graph is less steep.

14. a^2 - b^2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(a - b)(a + b)
Indeterminable.

15. Define an 'expression'.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
7 / 1000
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)

16. When the 'a' in the parabola is negative...
0
The curve opens downward and the vertex is the maximum point on the graph.
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)
62.5%

17. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
The set of output values for a function.
(a - b)^2
An isosceles right triangle.
1

18. What is a tangent?
67 - 71 - 73
4725
A tangent is a line that only touches one point on the circumference of a circle.
53 - 59

19. 5/8 in percent?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
37.5%
62.5%
A 30-60-90 triangle.

20. Describe the relationship between the graphs of x^2 and (1/2)x^2
1/2 times 7/3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The second graph is less steep.
N! / (n-k)!

21. Simplify the expression (p^2 - q^2)/ -5(q - p)
61 - 67
From northeast - counterclockwise. I - II - III - IV
(p + q)/5
4:5

22. The slope of a line perpendicular to (a/b)?
1:1:sqrt2
Its negative reciprocal. (-b/a)
A circle centered on the origin with radius 8.
4096

23. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
61 - 67
9 : 25
A set with no members - denoted by a circle with a diagonal through it.

24. What is the graph of f(x) shifted upward c units or spaces?
Yes - like radicals can be added/subtracted.
All numbers multiples of 1.
Part = Percent X Whole
F(x) + c

25. A number is divisible by 6 if...
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Its divisible by 2 and by 3.
The two xes after factoring.
413.03 / 10^4 (move the decimal point 4 places to the left)

26. What is the slope of a vertical line?

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27. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
18
Angle/360 x (pi)r^2
The set of elements found in both A and B.

28. What does scientific notation mean?
Ax^2 + bx + c where a -b and c are constants and a /=0
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
13
An isosceles right triangle.

29. The objects in a set are called two names:
The union of A and B.
y = (x + 5)/2
Members or elements
16.6666%

30. 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)]?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
True
Cd
II

31. Evaluate 4/11 + 11/12
When the function is not defined for all real numbers -; only a subset of the real numbers.
10! / (10-3)! = 720
1 & 37/132
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

32. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
Infinite.
A tangent is a line that only touches one point on the circumference of a circle.
3
1

33. Length of an arc of a circle?
Its negative reciprocal. (-b/a)
A 30-60-90 triangle.
Angle/360 x 2(pi)r
The sum of its digits is divisible by 3.

34. Simplify 9^(1/2) X 4^3 X 2^(-6)?
2
441000 = 1 10 10 10 21 * 21
3
A set with no members - denoted by a circle with a diagonal through it.

35. Formula to find a circle'S circumference from its diameter?
Divide by 100.
The two xes after factoring.
12sqrt2
C = (pi)d

36. Circumference of a circle?
Diameter(Pi)
71 - 73 - 79
87.5%
x^(6-3) = x^3

37. a^2 - 2ab + b^2
0
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(a - b)^2
x^(2(4)) =x^8 = (x^4)^2

38. 70 < all primes< 80
6
(a + b)^2
71 - 73 - 79
Indeterminable.

39. What is the set of elements found in both A and B?
A subset.
The interesection of A and B.
N! / (k!)(n-k)!
0

40. Which quadrant is the upper right hand?
72
90 degrees
I
(a + b)^2

41. 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.
2(pi)r^2 + 2(pi)rh
Divide by 100.
12! / 5!7! = 792

42. Legs: 3 - 4. Hypotenuse?
27^(-4)
5
An arc is a portion of a circumference of a circle.
A = I (1 + rt)

43. What are the irrational numbers?

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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?
(n-2) x 180
75:11
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
7 / 1000

45. How many sides does a hexagon have?
Undefined - because we can'T divide by 0.
y = 2x^2 - 3
6
x^(6-3) = x^3

46. What is an arc of a circle?
1
An arc is a portion of a circumference of a circle.
0
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

47. What are the members or elements of a set?
2.592 kg
The objects within a set.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
A subset.

48. What is the percent formula?
2
F(x + c)
Pi is the ratio of a circle'S circumference to its diameter.
Part = Percent X Whole

49. What is the measure of an exterior angle of a regular pentagon?
72
The sum of digits is divisible by 9.
Factors are few - multiples are many.
Two angles whose sum is 90.

50. The ratio of the areas of two similar polygons is ...
37.5%
The set of elements which can be found in either A or B.
The second graph is less steep.
... the square of the ratios of the corresponding sides.