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GRE Math 2

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
A+b
Multiply all elements of both sides of the equation by 2 (the denominator of the fraction). This will produce 10x + 3 = 14x. Solve from there: 3 = 4x - x = 3/4.
(y2-y1)/(x2-x1)
A=?r2

2. Radius (Radii)
(n degrees/360) * (pi)r^2
Equal
2 pi r
A segment connecting the center of a circle to any point on the circle

3. What is the probability?
Negative
Opens down
An isoceles right angle. Remember that interior angles are 90:45:45 degrees. The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Number of desired outcomes/number of total outcomes

4. What is the equation of a line?

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5. What is the circumference of a circle?
2(pi)r
The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.
(x+y)(x-y)
Middle term

6. What is the formula for the diagonal of any square?
S² - where s = length of a side
That they often have not just one answer - but two. For example - solving x² -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
Groups - teams - or committees.
S*v2

7. What is the unfactored version of (x-y)² ?
The total # of possible outcomes.
2l+2w
x² -2xy + y²
(x+y)(x-y)

8. What is the area of a triangle?
1/2bh
y = kx
A digit is a number that makes up other numbers. There are ten digits: 0 -1 -2 -3 -4 -5 -6 -7 -8 -9. Every 'number' is made up of one or more digits. For example - the number 528 is made up of three digits - a 5 - a 2 - and an 8.
Order does matter for a permutation - but does not matter for a combination.

9. How do you find the sum of a geometric sequence?
The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.
That they often have not just one answer - but two. For example - solving x² -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
Negative
T1 * r^(n-1)/(r-1)

10. Central Angle
An ange whose vertex is the center of the circle
The distance across the circle through the center of the circle.The diameter is twice the radius.
T1 * r^(n-1)
y = kx

11. Explain a method for quickly comparing fractions with different denominators - to determine which is larger.

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12. In a parabola - if the first term is positive - the parabola ________.
Opens up
Equal
Bh
The equation must be set equal to zero. If during the test one appears that'S not - before you can solve it you must first manipulate it so it is equal to zero.

13. Circumference Formula
Between 0 and 1.
Absolute value is a number'S distance away from zero on the number line. It is always positive - regardless of whether the number is positive or negative. It is represented with | |. For example - |-5| = 5 - and |5| = 5.
C =?d
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

14. Define the 'Third side' rule for triangles

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15. What is a '30:60:90' triangle?
Multiply each numerator by the other fraction'S denominator. Example: 3/7 and 7/12. Multiply 312 = 36 - and 77 = 49. If you completed the full calculation - you'd also cross-multiply the denominators - but you don'T have to in order to compare values
(n degrees/360) * (pi)r^2
This is an equilateral triangle that has been divided along its height. Interior angles are 30:60:90 degrees. Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse. This allows you to deduce any side - given
Multiply all elements of both sides of the equation by 2 (the denominator of the fraction). This will produce 10x + 3 = 14x. Solve from there: 3 = 4x - x = 3/4.

16. The length of one side of any triangle is ____ than the sum of the other two sides.
?d OR 2?r
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Less
x² + 2xy + y²

17. Surface Area of Cylinder
b±[vb²-4ac]/2a
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
2pir^2 + 2pir*h
(a-b)(a+b)

18. Perimeter of a square
4s (where s = length of a side)
N x M
2(pi)r
A(b+c) = ab + ac a(b-c) = ab - ac For example - 12(66) + 12(24) is the same as 12(66+24) - or 12(90) = 1 -080.

19. Chord
4s
The distance from one point on the circle to another point on the circle.
(y2-y1)/(x2-x1)
(pi)r^2

20. Area of a circle
Percentage Change = Difference/Original * 100
That they often have not just one answer - but two. For example - solving x² -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
(pi)r^2(h)
?r²

21. Point-Slope form
Lw
That they often have not just one answer - but two. For example - solving x² -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
y-y1=m(x-x1)
A=bh

22. What is directly proportional?
The range is the difference between the biggest and smallest numbers in the set. Example: for the set {2 -6 -13 -3 -15 -4 -9} the smallest number is 2 - largest is 15 - so the range is 15-2=13.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
y = kx
Ac+ad+bc+bd

23. Circumference of cirlce using diameter
Pi*d
4s (where s = length of a side)
(n degrees/360) * 2(pi)r
The set of points which are all the same distance (the radius) from a certain point (the center).

24. What are the side ratios for a 30:60:90 triangle?
Last term
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Opens down
?d OR 2?r

25. How do you calculate the probability of two events in a row? (Probability of A and B)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
2pi*r
Probability A * Probability B
Bh

26. What is the 'Third side' rule for triangles?
y = k/x
T1 * r^(n-1)/(r-1)
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
The length of any one side of a triangle must be less than the sum of the other two sides - and greater than the difference between the other two sides.

27. How do you multiply and divide square roots?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
A²-b²
The set of points which are all the same distance (the radius) from a certain point (the center).
Negative

28. Area of Circle
Pi*r^2
Bh
The average - mean - median - or mode.
4s (where s = length of a side)

29. (a+b)(c+d)
Ac+ad+bc+bd
T1 * r^(n-1)/(r-1)
C =?d
A=bh

30. Circumference of a circle
The total # of possible outcomes.
1. Raising a fraction (between 0 and 1) to a power greater than 1 results in a SMALLER number. For example: (1/2)² = 1/4.2. A number raised to the 0 power is 1 - no matter what the number is. For example: 1 -287° = 1.
?d OR 2?r
(x+y)²

31. Rough est. of v3 =
2pi*r
Middle term
1.7
Sum of terms/number of terms

32. In intersecting lines - opposite angles are _____.
Probability A + Probability B
(a+b)(a²-ab+b²)
x°/360 times (2 pi r) - where x is the degrees in the angle
Equal

33. Perimeter of rectangle
C =?d
2l+2w
The factorial of a number is that number times every positive whole number smaller than that number - down to 1. Example: 6! means the factorial of 6 - which = 65432*1 = 720.
(a+b)(a-b)

34. How do you calculate the percentage of change?
x² + 2xy + y²
(pi)r^2(h)
Percentage Change = Difference/Original * 100
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

35. What is the factored version of x² -2xy + y² ?
(x-y)²
That they often have not just one answer - but two. For example - solving x² -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Number of desired outcomes/number of total outcomes

36. How do you find the slope?
T1 + (n-1)d
4/3pir^3
y = kx
y2-y1/x2-x1

37. Sector
2Length + 2width [or (length + width) x 2]
y = mx + b -- where: x -y are the coordinates of any point on the line (allows you to locate) m is the slope of the line b is the intercept (where the line crosses the y-axis) - Sometimes on the GRE - 'a' is substituted for 'm' - as in 'y = ax + b'.
Part of a circle connecting two points on the circle.
The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.

38. In a coordinate system - identify the quadrants and describe their location.
T1 * r^(n-1)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
That - unlike a normal chart - they are constructed to HIDE information or make it HARDER to understand. Be sure to scroll down - read everything - and look carefully for hidden information - asterisks - footnotes - small print - and funny units.
Groups - teams - or committees.

39. What is the side ratio for a 30:60:90 triangle?
Number of desired outcomes/number of total outcomes
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
1. Given event A: A + notA = 1.

40. What is the 'distributive law'?
A(b+c) = ab + ac a(b-c) = ab - ac For example - 12(66) + 12(24) is the same as 12(66+24) - or 12(90) = 1 -080.
Pi*r^2
Sqr( x2 -x1) + (y2- y1)
x°/360 times (2 pi r) - where x is the degrees in the angle

41. Area of a square
1. Factored: x² - y² Unfactored: (x+y)(x-y) 2. Factored: (x+y)² Unfactored: x² + 2xy + y² 3. Factored: (x-y)² Unfactored: x² - 2xy + y²
The distance across the circle through the center of the circle.The diameter is twice the radius.
1
S² - where s = length of a side

42. What is inversely proportional?
y = k/x
2l+2w
Part of a circle connecting two points on the circle.
2(pi)r(r+h)

43. When you reverse FOIL - the term that needs to multiply out is the _____
T1 + (n-1)d
Last term
A=?r2
Sum of terms/number of terms

44. a²+2ab+b²
A²-b²
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2(pi)r
(a+b)²

45. What is 'absolute value' - and how is it represented?

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46. Area of Trapezoid
1/2 h (b1 + b2)
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
x² -2xy + y²
(n-2)180

47. What is the sum of the inside angles of an n-sided polygon?
?r²
Groups - teams - or committees.
(n-2)180
Percentage Change = Difference/Original * 100

48. How do you find the nth term of a geometric sequence?
(y-y1)=m(x-x1)
S*v2
T1 * r^(n-1)
Calculate and add the areas of all of 6 its sides.Example: for a rectangle with dimensions 2 x 3 x 4 - there will be 2 sides each - for each combination of these dimensions. That is - 2 each of 2x3 - 2 each of 3x4 - and 2 each of 4x2.

49. Area of Parallelogram
Pi*d
The distance from one point on the circle to another point on the circle.
Bh
Sum of the lengths of the sides

50. Area of Circles
(0 -0)
A=?r2
Probability A * Probability B
1/2bh

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GRE Math 2

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