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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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 9^(1/2) X 4^3 X 2^(-6)?
3
F(x + c)
90
Undefined - because we can'T divide by 0.

2. What is the set of elements found in both A and B?
12! / 5!7! = 792
The interesection of A and B.
(p + q)/5
1

3. What is a tangent?
(n-2) x 180
A tangent is a line that only touches one point on the circumference of a circle.
The longest arc between points A and B on a circle'S diameter.
G(x) = {x}

4. The slope of a line perpendicular to (a/b)?
4a^2(b)
Its negative reciprocal. (-b/a)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
70

5. What is an isoceles triangle?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
4.25 - 6 - 22
An isosceles right triangle.
Two equal sides and two equal angles.

6. Convert 0.7% to a fraction.
10! / 3!(10-3)! = 120
Infinite.
No - the input value has exactly one output.
7 / 1000

7. Describe the relationship between the graphs of x^2 and (1/2)x^2
An expression with just one term (-6x - 2a^2)
(n-2) x 180
0
The second graph is less steep.

8. What are the roots of the quadrinomial x^2 + 2x + 1?
F(x) - c
II
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)

9. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
An isosceles right triangle.
9 : 25

10. What is the graph of f(x) shifted right c units or spaces?
When the function is not defined for all real numbers -; only a subset of the real numbers.
10! / 3!(10-3)! = 120
3
F(x-c)

11. Formula for the area of a circle?
A = pi(r^2)
6 : 1 : 2
11 - 13 - 17 - 19
The third side is greater than the difference and less than the sum.

12. 30< all primes<40
31 - 37
(amount of increase/original price) x 100%
75:11
Its last two digits are divisible by 4.

13. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
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)
IV
288 (8 9 4)

14. A number is divisible by 3 if ...
The point of intersection of the systems.
The sum of its digits is divisible by 3.
The objects within a set.
F(x) + c

15. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
1/2 times 7/3
An arc is a portion of a circumference of a circle.
90

16. a^2 + 2ab + b^2
(a + b)^2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
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...
...multiply by 100.

17. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
1.7
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A = I (1 + rt)
A set with no members - denoted by a circle with a diagonal through it.

18. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
x^(2(4)) =x^8 = (x^4)^2
Lies opposite the greater angle
90

19. Solve the quadratic equation ax^2 + bx + c= 0
y = (x + 5)/2
F(x) + c
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

20. 25^(1/2) or sqrt. 25 =
5 OR -5
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
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)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

21. Define an 'expression'.
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)
8
F(x-c)
2.592 kg

22. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
The third side is greater than the difference and less than the sum.
70
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)
4:5

23. 20<all primes<30
y = (x + 5)/2
The longest arc between points A and B on a circle'S diameter.
23 - 29
Its last two digits are divisible by 4.

24. What is the intersection of A and B?
The set of elements found in both A and B.
F(x) - c
An angle which is supplementary to an interior angle.
The objects within a set.

25. What is a finite set?
1:1:sqrt2
10
A set with a number of elements which can be counted.
Cd

26. 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?
The set of elements which can be found in either A or B.
Move the decimal point to the right x places
48
y = (x + 5)/2

27. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
Its divisible by 2 and by 3.
The empty set - denoted by a circle with a diagonal through it.
I

28. 0^0
Undefined
An arc is a portion of a circumference of a circle.
...multiply by 100.
9 & 6/7

29. 10<all primes<20
A grouping of the members within a set based on a shared characteristic.
6
All numbers multiples of 1.
11 - 13 - 17 - 19

30. What is the percent formula?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(a + b)^2
Part = Percent X Whole
F(x) + c

31. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
An expression with just one term (-6x - 2a^2)
3 - -3
0
An angle which is supplementary to an interior angle.

32. What is the graph of f(x) shifted left c units or spaces?
1/(x^y)
F(x + c)
All numbers multiples of 1.
18

33. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
(a - b)(a + b)
N! / (k!)(n-k)!
8
Area of the base X height = (pi)hr^2

34. x^4 + x^7 =
0
x^(4+7) = x^11
(a - b)^2
A reflection about the origin.

35. What is a subset?
x^(6-3) = x^3
(a + b)^2
The empty set - denoted by a circle with a diagonal through it.
A grouping of the members within a set based on a shared characteristic.

36. (12sqrt15) / (2sqrt5) =
83.333%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
62.5%
28. n = 8 - k = 2. n! / k!(n-k)!

37. 1/2 divided by 3/7 is the same as
F(x) + c
12.5%
1/2 times 7/3
Even

38. To multiply a number by 10^x
71 - 73 - 79
6
130pi
Move the decimal point to the right x places

39. To convert a percent to a fraction....
(a + b)^2
Angle/360 x 2(pi)r
IV
Divide by 100.

40. If an inequality is multiplied or divided by a negative number....
Sqrt 12
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The direction of the inequality is reversed.
The set of output values for a function.

41. What is the absolute value function?
G(x) = {x}
1.7
41 - 43 - 47
37.5%

42. What is the surface area of a cylinder with radius 5 and height 8?
x(x - y + 1)
A reflection about the axis.
The empty set - denoted by a circle with a diagonal through it.
130pi

43. What is an exterior angle?
An angle which is supplementary to an interior angle.
IV
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Factors are few - multiples are many.

44. A number is divisible by 9 if...
I
The sum of digits is divisible by 9.
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:sqrt3:2

45. Formula of rectangle where l increases by 20% and w decreases by 20%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
All numbers multiples of 1.
4.25 - 6 - 22
x= (1.2)(.8)lw

46. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
75:11
3
N! / (k!)(n-k)!

47. The perimeter of a square is 48 inches. The length of its diagonal is:
No - the input value has exactly one output.
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.
12sqrt2
(a - b)(a + b)

48. What is the formula for compounded interest?
An expression with just one term (-6x - 2a^2)
6
The set of elements which can be found in either A or B.
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.

49. 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?
An angle which is supplementary to an interior angle.
A subset.
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
2(pi)r^2 + 2(pi)rh

50. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
1/2 times 7/3
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The union of A and B.
2

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GRE Math: Common Errors

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