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SAT Math 2

Subjects : sat, 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. Formula for arc length
Arc length equals = (degree of the arc / 360)(circumference)
Their dot product = 0
Between the vertex and the minor axis on the major axis
Sinx+cosx = 1 secx = 1+tanx cscx = 1+cotx

2. Formula for the volume of a cone
V= (1/3)(prh)
SA = pr +prl
The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides.
NCr = nPr / r! = n! / (n-r)!r!

3. Sum of n terms of an arithmetic sequence
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4
C = a + b - 2abcos(C)
y = a(x-h) + k - where the vertex is (h -k)
(n/2)(a1 + an)

4. Formula for the area of a trapezoid
Square the differences between each coordinate - then square root the sum
All whole numbers except for 0
(n-2)180
A = ((s1 + s2)h) / 2

5. What is the sum of the interior angles for a polygon with n sides?
(n-2)180
Their dot product = 0
No equal sides and no equal angles
SA = pr +prl

6. Difference between 2 Angles formulas
A = ((s1 + s2)h) / 2
Adding or subtracting 180 to ? and reversing the sign of r.
No equal sides and no equal angles
Sin(a-b) = sin(a)cos(b) - sin(b)cos(a) cos(a-b) = cos(a)cos(b) + sin(a)sin(b) tan(a-b) = [tan(a) - tan(b)] / [1+tan(a)tan(b)]

7. Pythagorean Identities
D = v(l+w+h)
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4
Sinx+cosx = 1 secx = 1+tanx cscx = 1+cotx
Sin2x= 2sinxcosx cos2x = cosx - sinx = 2cosx - 1 = 1 - sinx

8. Standard form equation for an ellipse
No equal sides and no equal angles
(x-h)/a + (y-k)/b = 1 - where (h -k) is the center of the ellipse - the length of the horizontal axis is 2a - the length of the vertical axis is 2b - if a>b - the horizontal axis is the major axis.
Adding or subtracting 180 to ? and reversing the sign of r.
N!

9. What are the conversion equations for polar coordinates to normal coordinates?
Between the vertex and the minor axis on the major axis
x=rcos?(theta) y=rsin? (theta)
The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides.
Two sides and two angle are equal

10. Standard form for a hyperbola that opens vertically
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4
N-1
A = (degree of the arc / 360)(area of a circle)
(y-k)/a - (x-h)/b = 1

11. How many ways can n elements be ordered?
(x-h)/a + (y-k)/b = 1 - where (h -k) is the center of the ellipse - the length of the horizontal axis is 2a - the length of the vertical axis is 2b - if a>b - the horizontal axis is the major axis.
(r - ?) - where r is the distance from the origin and ? is the angle from the positive x-axis
N!
Arc length equals = (degree of the arc / 360)(circumference)

12. Volume of a sphere
V = (1/3)bh
Sin(a+b) = sin(a)cos(b) + sin(b)cos(a) cos(a+b) = cos(a)cos(b) - sin(a)sin(b) tan(a+b) = [tan(a) + tan(b)] / [1-tan(a)tan(b)]
V = (4/3)pr
The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides.

13. How can multiple polar coordinates be made?
Square the differences between each coordinate - then square root the sum
y-y1 = m(x-x1)
Adding or subtracting 180 to ? and reversing the sign of r.
y = a(x-h) + k - where the vertex is (h -k)

14. Complimentary angles add up to
A = ((s1 + s2)h) / 2
a1 / 1-r
(x-h)/a + (y-k)/b = 1 - where (h -k) is the center of the ellipse - the length of the horizontal axis is 2a - the length of the vertical axis is 2b - if a>b - the horizontal axis is the major axis.
90

15. How can you determine the arc degree or central angle of an inscribed angle?
Multiply the inscribed angle by 2
Sinx+cosx = 1 secx = 1+tanx cscx = 1+cotx
Square the differences between each coordinate - then square root the sum
(x-h) + (y-k) = r - where (h -k) is the center of the circle

16. Formula for the area of a sector
x = -b/2a y= c - (b/4a)
A = (degree of the arc / 360)(area of a circle)
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4
Between the vertex and the minor axis on the major axis

17. Sum of finite geometric series
(x-h)/a - (y-k)/b = 1
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4
(1-r/1-r)
Their dot product = 0

18. What are relatively prime numbers?
C = a + b - 2abcos(C)
Sin2x= 2sinxcosx cos2x = cosx - sinx = 2cosx - 1 = 1 - sinx
x=rcos?(theta) y=rsin? (theta)
The greatest common factor is 1 - but the numbers are not necessarily prime.

19. Standard form equation for circle
(x-h) + (y-k) = r - where (h -k) is the center of the circle
SA = pr +prl
180
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4

20. What is the form of a polar coordinate?
(y-k)/a - (x-h)/b = 1
V = (1/3)bh
(r - ?) - where r is the distance from the origin and ? is the angle from the positive x-axis
y = a(x-h) + k - where the vertex is (h -k)

21. Where is tangent positive/negative?
V = (1/3)bh
F(x) = -f(-x)
Their dot product = 0
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4

22. How to determine if a number is prime
All whole numbers except for 0
F(x) = f(-x)
Approximate a square root - then try to divide the number by all prime numbers below the approximated root
Their dot product = 0

23. 30-60-90 triangle
x=rcos?(theta) y=rsin? (theta)
Two sides and two angle are equal
N-1
Hypotenuse is 2x - short side is x - long side is xv3

24. If the point for a line is given as (x1 - y1) - write the equation for the line in point-slope form.
Sin2x= 2sinxcosx cos2x = cosx - sinx = 2cosx - 1 = 1 - sinx
(n-2)180
y-y1 = m(x-x1)
F(x) = -f(-x)

25. Surface area of a sphere
(n-2)180
Two sides and two angle are equal
(x-h)/a + (y-k)/b = 1 - where (h -k) is the center of the ellipse - the length of the horizontal axis is 2a - the length of the vertical axis is 2b - if a>b - the horizontal axis is the major axis.
SA = 4pr

26. Two vectors are perpendicular if
x = -b/2a y= c - (b/4a)
Their dot product = 0
Parentheses - exponents - multiplication - division - addition - subtraction
SA = 4pr

27. Combination formula
(n-2)180
(y-k)/a - (x-h)/b = 1
NCr = nPr / r! = n! / (n-r)!r!
Square the differences between each coordinate - then square root the sum

28. Formula for the diagonal length of a rectangular prism
x = -b/2a y= c - (b/4a)
D = v(l+w+h)
SA = pr +prl
(r - ?) - where r is the distance from the origin and ? is the angle from the positive x-axis

29. Formula for the diagonal length of a cube
V = (1/3)bh
D= sv3
Approximate a square root - then try to divide the number by all prime numbers below the approximated root
All whole numbers except for 0

30. What is the order of operations?
Multiply the inscribed angle by 2
x = -b/2a y= c - (b/4a)
Parentheses - exponents - multiplication - division - addition - subtraction
x=rcos?(theta) y=rsin? (theta)

31. Formula for calculation exponential growth
x=rcos?(theta) y=rsin? (theta)
Final amount = original amount x (1+growth rate)^number of changes
(x-h)/a + (y-k)/b = 1 - where (h -k) is the center of the ellipse - the length of the horizontal axis is 2a - the length of the vertical axis is 2b - if a>b - the horizontal axis is the major axis.
A = (degree of the arc / 360)(area of a circle)

32. Formula for geometric sequence
An = a1rn?
Parentheses - exponents - multiplication - division - addition - subtraction
The greatest common factor is 1 - but the numbers are not necessarily prime.
Square the differences between each coordinate - then square root the sum

33. How to find the distance between two points in 3d plane?
(y-k)/a - (x-h)/b = 1
D= sv3
Square the differences between each coordinate - then square root the sum
Parentheses - exponents - multiplication - division - addition - subtraction

34. Supplementary angles add up to
Sin(a+b) = sin(a)cos(b) + sin(b)cos(a) cos(a+b) = cos(a)cos(b) - sin(a)sin(b) tan(a+b) = [tan(a) + tan(b)] / [1-tan(a)tan(b)]
x=rcos?(theta) y=rsin? (theta)
y-y1 = m(x-x1)
180

35. Define an even function.
y-y1 = m(x-x1)
x=rcos?(theta) y=rsin? (theta)
V = (1/3)bh
F(x) = f(-x)

36. Standard form for a hyperbola that opens to the sides
F(x) = f(-x)
All whole numbers except for 0
An = a1rn?
(x-h)/a - (y-k)/b = 1

37. What are natural numbers?
x = -b/2a y= c - (b/4a)
All whole numbers except for 0
Approximate a square root - then try to divide the number by all prime numbers below the approximated root
N!

38. Sum of infinite geometric series
a1 / 1-r
NCr = nPr / r! = n! / (n-r)!r!
Sin(a-b) = sin(a)cos(b) - sin(b)cos(a) cos(a-b) = cos(a)cos(b) + sin(a)sin(b) tan(a-b) = [tan(a) - tan(b)] / [1+tan(a)tan(b)]
Hypotenuse is xv2 - and the sides are x.

39. Law of Cosines
y = a(x-h) + k - where the vertex is (h -k)
SA = pr +prl
Multiply the inscribed angle by 2
C = a + b - 2abcos(C)

40. If a function is of the nth degree - what is the maximum number of extreme bumps it can have?
A = ((s1 + s2)h) / 2
Sin2x= 2sinxcosx cos2x = cosx - sinx = 2cosx - 1 = 1 - sinx
N-1
Arc length equals = (degree of the arc / 360)(circumference)

41. What is the triangle inequality rule?
The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides.
(y-k)/a - (x-h)/b = 1
(x-h)/a + (y-k)/b = 1 - where (h -k) is the center of the ellipse - the length of the horizontal axis is 2a - the length of the vertical axis is 2b - if a>b - the horizontal axis is the major axis.
A = ((s1 + s2)h) / 2

42. Isosceles Triangles
Sinx+cosx = 1 secx = 1+tanx cscx = 1+cotx
(x-h)/a + (y-k)/b = 1 - where (h -k) is the center of the ellipse - the length of the horizontal axis is 2a - the length of the vertical axis is 2b - if a>b - the horizontal axis is the major axis.
Two sides and two angle are equal
(r - ?) - where r is the distance from the origin and ? is the angle from the positive x-axis

43. Sum of 2 Angles Formulas
Hypotenuse is xv2 - and the sides are x.
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4
Arc length equals = (degree of the arc / 360)(circumference)
Sin(a+b) = sin(a)cos(b) + sin(b)cos(a) cos(a+b) = cos(a)cos(b) - sin(a)sin(b) tan(a+b) = [tan(a) + tan(b)] / [1-tan(a)tan(b)]

44. Formula for arithmetic sequence
(r - ?) - where r is the distance from the origin and ? is the angle from the positive x-axis
A = ((s1 + s2)h) / 2
A = (degree of the arc / 360)(area of a circle)
An = a1 + (n-1)d

45. Scalene triangle
(x-h)/a + (y-k)/b = 1 - where (h -k) is the center of the ellipse - the length of the horizontal axis is 2a - the length of the vertical axis is 2b - if a>b - the horizontal axis is the major axis.
Hypotenuse is xv2 - and the sides are x.
No equal sides and no equal angles
The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides.

46. Define an odd function.
Approximate a square root - then try to divide the number by all prime numbers below the approximated root
F(x) = f(-x)
Square the differences between each coordinate - then square root the sum
F(x) = -f(-x)

47. Surface area of a cone
Adding or subtracting 180 to ? and reversing the sign of r.
SA = pr +prl
D= sv3
NCr = nPr / r! = n! / (n-r)!r!

48. Permutation formula (ordering)
NPr = n! / (n-r)!
90
(n-2)180
Adding or subtracting 180 to ? and reversing the sign of r.

49. Standard form of the equation of a parabola.
(x-h)/a + (y-k)/b = 1 - where (h -k) is the center of the ellipse - the length of the horizontal axis is 2a - the length of the vertical axis is 2b - if a>b - the horizontal axis is the major axis.
NPr = n! / (n-r)!
No equal sides and no equal angles
y = a(x-h) + k - where the vertex is (h -k)

50. In an ellipse - where are the foci?
No equal sides and no equal angles
Between the vertex and the minor axis on the major axis
(1-r/1-r)
Adding or subtracting 180 to ? and reversing the sign of r.

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SAT Math 2

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Test your basic knowledge |

SAT Math 2

The First & Only Encyclopedia of Self Help, Self Improvement & Career Advice

250+ Easy-to-Follow Guides 5000+ Proven Tips 13 Types of Essential Skills Covered Get The Value of 100+ Best Books in 1 Book. 502 Pages | $3.99 | PDF / EPub, Kindle Ready

Link to This Test

Related Subjects

The First & Only Encyclopedia of Self Help,
Self Improvement & Career Advice

250+ Easy-to-Follow Guides
5000+ Proven Tips
13 Types of Essential Skills Covered
Get The Value of 100+ Best Books in 1 Book.

502 Pages | $3.99 | PDF / EPub, Kindle Ready