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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 slope of a vertical line?

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2. x^4 + x^7 =
Triangles with same measure and same side lengths.
(a - b)(a + b)
(p + q)/5
x^(4+7) = x^11

3. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
x(x - y + 1)
1
A circle centered at -2 - -2 with radius 3.

4. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
2
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
Undefined
1.0843 X 10^11

5. Define a 'monomial'
Relationship cannot be determined (what if x is negative?)
The point of intersection of the systems.
An expression with just one term (-6x - 2a^2)
x(x - y + 1)

6. sqrt 2(sqrt 6)=
23 - 29
C = (pi)d
Sqrt 12
The greatest value minus the smallest.

7. 1/8 in percent?
4:5
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
12.5%
Pi is the ratio of a circle'S circumference to its diameter.

8. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
From northeast - counterclockwise. I - II - III - IV
8
Undefined - because we can'T divide by 0.
Indeterminable.

9. How many 3-digit positive integers are even and do not contain the digit 4?
413.03 / 10^4 (move the decimal point 4 places to the left)
An isosceles right triangle.
(p + q)/5
288 (8 9 4)

10. What is a minor arc?

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11. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
(amount of decrease/original price) x 100%
C = (pi)d
2^9 / 2 = 256

12. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
(a - b)^2
x^(6-3) = x^3
F(x-c)
A reflection about the origin.

13. (-1)^3 =
Factors are few - multiples are many.
20.5
F(x) - c
1

14. (a^-1)/a^5
1/a^6
5 OR -5
1/(x^y)
Diameter(Pi)

15. What is a finite set?
4a^2(b)
1
2sqrt6
A set with a number of elements which can be counted.

16. What is the set of elements found in both A and B?
A central angle is an angle formed by 2 radii.
The interesection of A and B.
No - the input value has exactly one output.
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)

17. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Part = Percent X Whole
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)
(n-2) x 180

18. What is the measure of an exterior angle of a regular pentagon?
1
F(x-c)
Sqrt 12
72

19. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
The steeper the slope.
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.
12! / 5!7! = 792

20. Factor a^2 + 2ab + b^2
A reflection about the axis.
(a + b)^2
F(x + c)
From northeast - counterclockwise. I - II - III - IV

21. 8.84 / 5.2
A tangent is a line that only touches one point on the circumference of a circle.
6
1.7
III

22. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A chord is a line segment joining two points on a circle.
A circle centered on the origin with radius 8.
1

23. What is the 'Range' of a series of numbers?
5 OR -5
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The greatest value minus the smallest.
67 - 71 - 73

24. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
4.25 - 6 - 22
70
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

25. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1:sqrt3:2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
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)

26. What is a set with no members called?
Pi is the ratio of a circle'S circumference to its diameter.
$11 -448
(b + c)
The empty set - denoted by a circle with a diagonal through it.

27. What is a tangent?
5
Sector area = (n/360) X (pi)r^2
A tangent is a line that only touches one point on the circumference of a circle.
2.592 kg

28. Simplify the expression [(b^2 - c^2) / (b - c)]
2.592 kg
Part = Percent X Whole
F(x-c)
(b + c)

29. What is the 'union' of A and B?
The greatest value minus the smallest.
6 : 1 : 2
2 & 3/7
The set of elements which can be found in either A or B.

30. Can you simplify sqrt72?
90
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
4725
3

31. A number is divisible by 9 if...
2sqrt6
The sum of digits is divisible by 9.
72
A grouping of the members within a set based on a shared characteristic.

32. What is a major arc?

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33. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
1
Triangles with same measure and same side lengths.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

34. What is the ratio of the sides of a 30-60-90 triangle?
The longest arc between points A and B on a circle'S diameter.
1:sqrt3:2
(a - b)(a + b)
A grouping of the members within a set based on a shared characteristic.

35. What is the 'Restricted domain of a function'?
62.5%
Yes. [i.e. f(x) = x^2 - 1
90
When the function is not defined for all real numbers -; only a subset of the real numbers.

36. What is the graph of f(x) shifted downward c units or spaces?
C = (pi)d
F(x) - c
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)
1.0843 X 10^11

37. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
The two xes after factoring.
62.5%
IV
Cd

38. Formula to find a circle'S circumference from its radius?
1/2 times 7/3
Undefined
The two xes after factoring.
C = 2(pi)r

39. What is a chord of a circle?
Factors are few - multiples are many.
(b + c)
A chord is a line segment joining two points on a circle.
III

40. Formula of rectangle where l increases by 20% and w decreases by 20%
Lies opposite the greater angle
x= (1.2)(.8)lw
An arc is a portion of a circumference of a circle.
x^(2(4)) =x^8 = (x^4)^2

41. What is a subset?
1/a^6
23 - 29
9 : 25
A grouping of the members within a set based on a shared characteristic.

42. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
61 - 67
The direction of the inequality is reversed.
x^(2(4)) =x^8 = (x^4)^2
A 30-60-90 triangle.

43. What is the intersection of A and B?
87.5%
83.333%
The two xes after factoring.
The set of elements found in both A and B.

44. Area of a triangle?
The greatest value minus the smallest.
x= (1.2)(.8)lw
Sector area = (n/360) X (pi)r^2
(base*height) / 2

45. What is the sum of the angles of a triangle?
Sqrt 12
180 degrees
6
When the function is not defined for all real numbers -; only a subset of the real numbers.

46. Max and Min lengths for a side of a triangle?
Sector area = (n/360) X (pi)r^2
The second graph is less steep.
The third side is greater than the difference and less than the sum.
67 - 71 - 73

47. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
180
An infinite set.
3sqrt4

48. What are the irrational numbers?

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49. What are the integers?
The sum of digits is divisible by 9.
87.5%
2
All numbers multiples of 1.

50. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
No - only like radicals can be added.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The two xes after factoring.