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. Permutation formula (ordering)
NPr = n! / (n-r)!
SA = pr +prl
Multiply the inscribed angle by 2
(y-k)/a - (x-h)/b = 1

2. Formula for the area of a trapezoid
Square the differences between each coordinate - then square root the sum
180
(x-h) + (y-k) = r - where (h -k) is the center of the circle
A = ((s1 + s2)h) / 2

3. If a function is of the nth degree - what is the maximum number of extreme bumps it can have?
The greatest common factor is 1 - but the numbers are not necessarily prime.
Final amount = original amount x (1+growth rate)^number of changes
180
N-1

4. Formula for geometric sequence
Hypotenuse is xv2 - and the sides are x.
The greatest common factor is 1 - but the numbers are not necessarily prime.
NCr = nPr / r! = n! / (n-r)!r!
An = a1rn?

5. Formula for arc length
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)]
(n-2)180
Square the differences between each coordinate - then square root the sum

6. How can multiple polar coordinates be made?
(1-r/1-r)
Adding or subtracting 180 to ? and reversing the sign of r.
No equal sides and no equal angles
SA = pr +prl

7. Pythagorean Identities
Approximate a square root - then try to divide the number by all prime numbers below the approximated root
V = (4/3)pr
An = a1 + (n-1)d
Sinx+cosx = 1 secx = 1+tanx cscx = 1+cotx

8. If the point for a line is given as (x1 - y1) - write the equation for the line in point-slope form.
V = (4/3)pr
y-y1 = m(x-x1)
(r - ?) - where r is the distance from the origin and ? is the angle from the positive x-axis
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4

9. Law of Cosines
SA = 4pr
C = a + b - 2abcos(C)
Sin2x= 2sinxcosx cos2x = cosx - sinx = 2cosx - 1 = 1 - sinx
y = a(x-h) + k - where the vertex is (h -k)

10. How can you determine the arc degree or central angle of an inscribed angle?
A = (degree of the arc / 360)(area of a circle)
Multiply the inscribed angle by 2
NCr = nPr / r! = n! / (n-r)!r!
(y-k)/a - (x-h)/b = 1

11. Where is tangent positive/negative?
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4
V = (1/3)bh
SA = pr +prl
(n/2)(a1 + an)

12. Formula for calculation exponential growth
Sin2x= 2sinxcosx cos2x = cosx - sinx = 2cosx - 1 = 1 - sinx
a1 / 1-r
An = a1 + (n-1)d
Final amount = original amount x (1+growth rate)^number of changes

13. What is the triangle inequality rule?
Approximate a square root - then try to divide the number by all prime numbers below the approximated root
A = ((s1 + s2)h) / 2
The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides.
(x-h) + (y-k) = r - where (h -k) is the center of the circle

14. What is the sum of the interior angles for a polygon with n sides?
N-1
(n-2)180
Sinx+cosx = 1 secx = 1+tanx cscx = 1+cotx
(n/2)(a1 + an)

15. Sum of 2 Angles Formulas
Sin2x= 2sinxcosx cos2x = cosx - sinx = 2cosx - 1 = 1 - sinx
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)]
All whole numbers except for 0
D= sv3

16. If the general parabola equation is y = ax+bx+c - what is the vertex of the parabola
Approximate a square root - then try to divide the number by all prime numbers below the approximated root
Their dot product = 0
Adding or subtracting 180 to ? and reversing the sign of r.
x = -b/2a y= c - (b/4a)

17. Scalene triangle
Multiply the inscribed angle by 2
No equal sides and no equal angles
A = (degree of the arc / 360)(area of a circle)
N!

18. What are natural numbers?
N!
A = (degree of the arc / 360)(area of a circle)
(n-2)180
All whole numbers except for 0

19. Define an odd function.
Sinx+cosx = 1 secx = 1+tanx cscx = 1+cotx
Parentheses - exponents - multiplication - division - addition - subtraction
a1 / 1-r
F(x) = -f(-x)

20. Surface area of a sphere
SA = 4pr
An = a1rn?
Sinx+cosx = 1 secx = 1+tanx cscx = 1+cotx
An = a1 + (n-1)d

21. 45-45-90 triangle
Hypotenuse is xv2 - and the sides are x.
Sin2x= 2sinxcosx cos2x = cosx - sinx = 2cosx - 1 = 1 - sinx
Approximate a square root - then try to divide the number by all prime numbers below the approximated root
No equal sides and no equal angles

22. How to find the distance between two points in 3d plane?
The greatest common factor is 1 - but the numbers are not necessarily prime.
Two sides and two angle are equal
(n/2)(a1 + an)
Square the differences between each coordinate - then square root the sum

23. Combination formula
NCr = nPr / r! = n! / (n-r)!r!
Hypotenuse is xv2 - and the sides are x.
(n-2)180
Adding or subtracting 180 to ? and reversing the sign of r.

24. Formula for arithmetic sequence
y = a(x-h) + k - where the vertex is (h -k)
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)]
The greatest common factor is 1 - but the numbers are not necessarily prime.
An = a1 + (n-1)d

25. How to determine if a number is prime
A = ((s1 + s2)h) / 2
(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.
Positive: Quadrants 1 and 3 Negative: Quadrants 2 and 4
Approximate a square root - then try to divide the number by all prime numbers below the approximated root

26. Supplementary angles add up to
NPr = n! / (n-r)!
No equal sides and no equal angles
Arc length equals = (degree of the arc / 360)(circumference)
180

27. Standard form of the equation of a parabola.
SA = pr +prl
Square the differences between each coordinate - then square root the sum
Between the vertex and the minor axis on the major axis
y = a(x-h) + k - where the vertex is (h -k)

28. What are relatively prime numbers?
The greatest common factor is 1 - but the numbers are not necessarily prime.
Their dot product = 0
(x-h)/a - (y-k)/b = 1
180

29. Standard form equation for an ellipse
No equal sides and no equal angles
F(x) = f(-x)
(1-r/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.

30. Formula for the volume of a cone
An = a1rn?
V= (1/3)(prh)
(r - ?) - where r is the distance from the origin and ? is the angle from the positive x-axis
Hypotenuse is 2x - short side is x - long side is xv3

31. Formula for the diagonal length of a rectangular prism
D = v(l+w+h)
(x-h) + (y-k) = r - where (h -k) is the center of the circle
180
An = a1 + (n-1)d

32. Difference between 2 Angles formulas
F(x) = f(-x)
Sinx+cosx = 1 secx = 1+tanx cscx = 1+cotx
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)]
Between the vertex and the minor axis on the major axis

33. Volume of a sphere
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)]
D = v(l+w+h)
V = (4/3)pr

34. 30-60-90 triangle
Hypotenuse is 2x - short side is x - long side is xv3
V = (4/3)pr
y = a(x-h) + k - where the vertex is (h -k)
(1-r/1-r)

35. In an ellipse - where are the foci?
An = a1 + (n-1)d
Between the vertex and the minor axis on the major axis
Two sides and two angle are equal
(x-h)/a - (y-k)/b = 1

36. Formula for the diagonal length of a cube
Square the differences between each coordinate - then square root the sum
Multiply the inscribed angle by 2
D= sv3
180

37. Define an even function.
F(x) = f(-x)
V = (4/3)pr
NPr = n! / (n-r)!
C = a + b - 2abcos(C)

38. What are the conversion equations for polar coordinates to normal coordinates?
Their dot product = 0
Between the vertex and the minor axis on the major axis
The length of a side of a triangle is less than the sum of and greater than the difference of the other two sides.
x=rcos?(theta) y=rsin? (theta)

39. Sum of infinite geometric series
Between the vertex and the minor axis on the major axis
a1 / 1-r
(n/2)(a1 + an)
A = ((s1 + s2)h) / 2

40. What is the order of operations?
Parentheses - exponents - multiplication - division - addition - subtraction
V = (1/3)bh
F(x) = -f(-x)
x=rcos?(theta) y=rsin? (theta)

41. Formula for the area of a sector
An = a1 + (n-1)d
(y-k)/a - (x-h)/b = 1
90
A = (degree of the arc / 360)(area of a circle)

42. Sum of finite geometric series
(1-r/1-r)
No equal sides and no equal angles
The greatest common factor is 1 - but the numbers are not necessarily prime.
y = a(x-h) + k - where the vertex is (h -k)

43. Sum of n terms of an arithmetic sequence
(n/2)(a1 + an)
Sin2x= 2sinxcosx cos2x = cosx - sinx = 2cosx - 1 = 1 - sinx
F(x) = -f(-x)
Hypotenuse is xv2 - and the sides are x.

44. How many ways can n elements be ordered?
Sin2x= 2sinxcosx cos2x = cosx - sinx = 2cosx - 1 = 1 - sinx
V = (4/3)pr
N!
180

45. Two vectors are perpendicular if
(n/2)(a1 + an)
(y-k)/a - (x-h)/b = 1
Their dot product = 0
V = (4/3)pr

46. Volume of a pyramid
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
N-1
Two sides and two angle are equal

47. What is the form of a polar coordinate?
Parentheses - exponents - multiplication - division - addition - subtraction
Arc length equals = (degree of the arc / 360)(circumference)
90
(r - ?) - where r is the distance from the origin and ? is the angle from the positive x-axis

48. Standard form equation for circle
(r - ?) - where r is the distance from the origin and ? is the angle from the positive x-axis
(x-h) + (y-k) = r - where (h -k) is the center of the circle
An = a1rn?
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)]

49. Surface area of a cone
SA = pr +prl
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)]
A = ((s1 + s2)h) / 2
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)]

50. Isosceles Triangles
Sin2x= 2sinxcosx cos2x = cosx - sinx = 2cosx - 1 = 1 - sinx
Their dot product = 0
C = a + b - 2abcos(C)
Two sides and two angle are equal

Test your basic knowledge |

SAT Math 2

Link to This Test

Related Subjects