Test your basic knowledge |

SAT Math 2

Subjects : sat, 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. In an ellipse - where are the foci?
No equal sides and no equal angles
Sinx+cosx = 1 secx = 1+tanx cscx = 1+cotx
(n/2)(a1 + an)
Between the vertex and the minor axis on the major axis

2. Supplementary angles add up to
All whole numbers except for 0
180
Their dot product = 0
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)]

3. Surface area of a cone
Square the differences between each coordinate - then square root the sum
(y-k)/a - (x-h)/b = 1
The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides.
SA = pr +prl

4. Formula for the area of a trapezoid
a1 / 1-r
F(x) = f(-x)
A = ((s1 + s2)h) / 2
The greatest common factor is 1 - but the numbers are not necessarily prime.

5. What is the order of operations?
(y-k)/a - (x-h)/b = 1
Square the differences between each coordinate - then square root the sum
Parentheses - exponents - multiplication - division - addition - subtraction
(n-2)180

6. Formula for arc length
Arc length equals = (degree of the arc / 360)(circumference)
Hypotenuse is xv2 - and the sides are x.
N-1
Between the vertex and the minor axis on the major axis

7. Formula for arithmetic sequence
F(x) = -f(-x)
An = a1 + (n-1)d
N!
(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.

8. How to find the distance between two points in 3d plane?
Their dot product = 0
D = v(l+w+h)
NCr = nPr / r! = n! / (n-r)!r!
Square the differences between each coordinate - then square root the sum

9. Sum of infinite geometric series
N!
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)]
a1 / 1-r
C = a + b - 2abcos(C)

10. Formula for the volume of a cone
(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.
V= (1/3)(prh)
Sinx+cosx = 1 secx = 1+tanx cscx = 1+cotx
SA = 4pr

11. How can multiple polar coordinates be made?
Parentheses - exponents - multiplication - division - addition - subtraction
Adding or subtracting 180 to ? and reversing the sign of r.
N!
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4

12. Difference between 2 Angles formulas
V= (1/3)(prh)
90
(n-2)180
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)]

13. Pythagorean Identities
Square the differences between each coordinate - then square root the sum
Sinx+cosx = 1 secx = 1+tanx cscx = 1+cotx
Hypotenuse is 2x - short side is x - long side is xv3
Parentheses - exponents - multiplication - division - addition - subtraction

14. Where is tangent positive/negative?
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
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4
Their dot product = 0

15. How to determine if a number is prime
Approximate a square root - then try to divide the number by all prime numbers below the approximated root
The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides.
Between the vertex and the minor axis on the major axis
NCr = nPr / r! = n! / (n-r)!r!

16. Law of Cosines
No equal sides and no equal angles
C = a + b - 2abcos(C)
V = (4/3)pr
V = (1/3)bh

17. Scalene triangle
No equal sides and no equal angles
An = a1 + (n-1)d
The greatest common factor is 1 - but the numbers are not necessarily prime.
Sinx+cosx = 1 secx = 1+tanx cscx = 1+cotx

18. How many ways can n elements be ordered?
N!
Final amount = original amount x (1+growth rate)^number of changes
A = (degree of the arc / 360)(area of a circle)
The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides.

19. Combination formula
y = a(x-h) + k - where the vertex is (h -k)
180
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)]

20. What are the conversion equations for polar coordinates to normal coordinates?
x=rcos?(theta) y=rsin? (theta)
Sin2x= 2sinxcosx cos2x = cosx - sinx = 2cosx - 1 = 1 - sinx
Multiply the inscribed angle by 2
No equal sides and no equal angles

21. If the general parabola equation is y = ax+bx+c - what is the vertex of the parabola
x = -b/2a y= c - (b/4a)
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4
Their dot product = 0
Final amount = original amount x (1+growth rate)^number of changes

22. Standard form for a hyperbola that opens vertically
(1-r/1-r)
x = -b/2a y= c - (b/4a)
(y-k)/a - (x-h)/b = 1
Square the differences between each coordinate - then square root the sum

23. Sum of finite geometric series
V= (1/3)(prh)
(1-r/1-r)
D= sv3
SA = 4pr

24. Standard form equation for circle
(x-h) + (y-k) = r - where (h -k) is the center of the circle
Arc length equals = (degree of the arc / 360)(circumference)
Square the differences between each coordinate - then square root the sum
The greatest common factor is 1 - but the numbers are not necessarily prime.

25. Two vectors are perpendicular if
Their dot product = 0
(1-r/1-r)
A = (degree of the arc / 360)(area of a circle)
y = a(x-h) + k - where the vertex is (h -k)

26. Standard form for a hyperbola that opens to the sides
y = a(x-h) + k - where the vertex is (h -k)
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4
(x-h)/a - (y-k)/b = 1
Sin2x= 2sinxcosx cos2x = cosx - sinx = 2cosx - 1 = 1 - sinx

27. Standard form of the equation of a parabola.
y-y1 = m(x-x1)
V = (4/3)pr
SA = pr +prl
y = a(x-h) + k - where the vertex is (h -k)

28. What are natural numbers?
All whole numbers except for 0
Square the differences between each coordinate - then square root the sum
(1-r/1-r)
Multiply the inscribed angle by 2

29. Isosceles Triangles
N!
V = (4/3)pr
(x-h) + (y-k) = r - where (h -k) is the center of the circle
Two sides and two angle are equal

30. What is the form of a polar coordinate?
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)]
Their dot product = 0
(r - ?) - where r is the distance from the origin and ? is the angle from the positive x-axis
Multiply the inscribed angle by 2

31. Double Angle Formulas
90
Sin2x= 2sinxcosx cos2x = cosx - sinx = 2cosx - 1 = 1 - sinx
x=rcos?(theta) y=rsin? (theta)
No equal sides and no equal angles

32. Volume of a pyramid
(1-r/1-r)
D= sv3
C = a + b - 2abcos(C)
V = (1/3)bh

33. Formula for the area of a sector
(n/2)(a1 + an)
V= (1/3)(prh)
A = (degree of the arc / 360)(area of a circle)
(n-2)180

34. Formula for the diagonal length of a cube
V= (1/3)(prh)
D= sv3
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)]
(n-2)180

35. How can you determine the arc degree or central angle of an inscribed angle?
SA = 4pr
(n/2)(a1 + an)
The greatest common factor is 1 - but the numbers are not necessarily prime.
Multiply the inscribed angle by 2

36. 30-60-90 triangle
Hypotenuse is 2x - short side is x - long side is xv3
Adding or subtracting 180 to ? and reversing the sign of 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.

37. Surface area of a sphere
An = a1rn?
Sinx+cosx = 1 secx = 1+tanx cscx = 1+cotx
SA = 4pr
(y-k)/a - (x-h)/b = 1

38. Sum of n terms of an arithmetic sequence
N-1
(n/2)(a1 + an)
(r - ?) - where r is the distance from the origin and ? is the angle from the positive x-axis
(n-2)180

39. Formula for the diagonal length of a rectangular prism
Arc length equals = (degree of the arc / 360)(circumference)
D = v(l+w+h)
The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides.
V = (1/3)bh

40. Standard form equation for an ellipse
N-1
Multiply the inscribed angle by 2
SA = 4pr
(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.

41. If the point for a line is given as (x1 - y1) - write the equation for the line in point-slope form.
y-y1 = m(x-x1)
F(x) = f(-x)
(x-h)/a - (y-k)/b = 1
Hypotenuse is xv2 - and the sides are x.

42. What is the triangle inequality rule?
(n-2)180
A = ((s1 + s2)h) / 2
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.

43. Complimentary angles add up to
Hypotenuse is 2x - short side is x - long side is xv3
(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
D = v(l+w+h)

44. If a function is of the nth degree - what is the maximum number of extreme bumps it can have?
Sinx+cosx = 1 secx = 1+tanx cscx = 1+cotx
N-1
V= (1/3)(prh)
Adding or subtracting 180 to ? and reversing the sign of r.

45. Formula for calculation exponential growth
V= (1/3)(prh)
Final amount = original amount x (1+growth rate)^number of changes
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)

46. 45-45-90 triangle
Hypotenuse is xv2 - and the sides are x.
No equal sides and no equal angles
D= sv3
a1 / 1-r

47. Formula for geometric sequence
x=rcos?(theta) y=rsin? (theta)
Their dot product = 0
The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides.
An = a1rn?

48. Define an even function.
An = a1 + (n-1)d
F(x) = f(-x)
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-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.

49. What is the sum of the interior angles for a polygon with n sides?
No equal sides and no equal angles
(n-2)180
Square the differences between each coordinate - then square root the sum
An = a1rn?

50. Permutation formula (ordering)
SA = pr +prl
a1 / 1-r
(x-h) + (y-k) = r - where (h -k) is the center of the circle
NPr = n! / (n-r)!

Test your basic knowledge |

SAT Math 2

13 Skills Types | 550 Pages | Only $9.95 | PDF / EPub, Kindle Ready

Link to This Test

Related Subjects