Test your basic knowledge |

CLEP Pre - Calculus 2

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. Circle Conic Section
sin t/ cos t
c^2 = a^2 + b^2
Length of one vertex to the other 2a
(x-h)^2 + (y-k)^2 = r^2

2. If A is obtuse a> b
2b²/a
one triangle
(x-h)^2 - (y-k)^2/a^2 b^2 = 1 - (y-k)^2 - (x-h)^2/a^2 b^2 = 1 - a is always positive term
sinA/a=sinB/b=sinC/c

3. If A is acute a = h
2b²/a
one triangle
(x-h)^2 + (y-k)^2/a^2 b^2 = 1 a is always bigger term
2p

4. Asymptote of hyperbola that opens left and right.
the longest axis of an ellipse 2a
regular (opens up/down): 4p(y - k) = (x - h)2 - sideways (opens right/left):4p(x - h) = (y - k)2
y= +-(a/b) (x-h) + k
y= +-(b/a) (x-h) + k

5. If A is acute h<a<b
Order Matters
y= +-(a/b) (x-h) + k
Two Triangles
Center + P

6. 1 + tan2 t =
Given an m x n matrix A - its transpose is the n x m
Center + P
4p
sec2 t

7. Permutation Formula
nPr= (n!)/(n-r)!
Two Triangles
sin t/ cos t
ad - bc

8. Determinant
(side adjacent to given angle) sin (given angle) - h = b(sina)
sec2 t
ad - bc
2 events that can't be done together.

9. Adding Matrices
X= Dx/ D - Y =Dy/ D - Z = Dz/ D - Replace column with products
sin t/ cos t
center - p
to add or subtract matrices - simply add or subtract matrices only if the have the same dimensions

10. 1=
Two Triangles
sin2 t + cos2 t =
c²=a²+b²-2abcosC
4p

11. If A is acute a > h
one triangle
length from one covertex to the other 2b
2b²/a
order Doesn't Matter

12. Equations of Hyperbola
Multiply Row By Column - Columns of first must be equal to rows of second
(x-h)^2 - (y-k)^2/a^2 b^2 = 1 - (y-k)^2 - (x-h)^2/a^2 b^2 = 1 - a is always positive term
2b²/a
nCr= (n!)/((n-r)! r!)

13. The Multiplication Principle
order Doesn't Matter
(side adjacent to given angle) sin (given angle) - h = b(sina)
Length of one vertex to the other 2a
If an action can be performed in n1 ways - and for each of these ways another action can be performed in n2 ways - then the two actions can be performed together in n1n2 ways.

14. Area Of a Triangle
A = 1/2ac sin B - where a and c are the lengths of two sides and B is the angle between them.
cos t/ sin t
(side adjacent to given angle) sin (given angle) - h = b(sina)
4p

15. Binomial Theorem
(x-h)^2 - (y-k)^2/a^2 b^2 = 1 - (y-k)^2 - (x-h)^2/a^2 b^2 = 1 - a is always positive term
nCrx^n-ry^r
If two actions are mutually exclusive and the first can be done in n1 ways and the second in n2 ways- then one action OR the other can be done in n1 + n2 ways.
center - p

16. Asymptote of hyperbola that opens up and down
(side adjacent to given angle) sin (given angle) - h = b(sina)
sin t/ cos t
one triangle
y= +-(a/b) (x-h) + k

17. If A is acute a<h
n(A u B0 = n(A) + n(B) - n(A n B)
y= +-(a/b) (x-h) + k
No triangle
sec2 t

18. distance between focus and directrix
nCr= (n!)/((n-r)! r!)
m X N - rows by columns
2p
Length of one vertex to the other 2a

19. odds:
= 1 + tan2 t
y= +-(b/a) (x-h) + k
c^2 = a^2 - b^2
ratio

20. Focus of Hyperbola
y= +-(a/b) (x-h) + k
sin t/ cos t
sinA/a=sinB/b=sinC/c
c^2 = a^2 + b^2

21. Combinations

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

22. Complement Principle
If an action can be performed in n1 ways - and for each of these ways another action can be performed in n2 ways - then the two actions can be performed together in n1n2 ways.
the likehood of an event happening m/n - nCr (ratio)^raised to the times desired * (ratio)^raised to the times desired - n is total r is desired
If A is a subset of a universal set U - then n(A) p n(U) - n(_A)
A = 1/2ac sin B - where a and c are the lengths of two sides and B is the angle between them.

23. Conjugate Axis
the likehood of an event happening m/n - nCr (ratio)^raised to the times desired * (ratio)^raised to the times desired - n is total r is desired
length from one covertex to the other 2b
c²=a²+b²-2abcosC
nCr= (n!)/((n-r)! r!)

24. csc t
to add or subtract matrices - simply add or subtract matrices only if the have the same dimensions
1/ sin t
center - p
cos t/ sin t

25. Focal Width
4p
ratio
2 events that can't be done together.
sec2 t

26. sin2 t + cos2 t =
1
cos t/ sin t
If an action can be performed in n1 ways - and for each of these ways another action can be performed in n2 ways - then the two actions can be performed together in n1n2 ways.
1/ sin t

27. Cramer's rule
Order Matters
X= Dx/ D - Y =Dy/ D - Z = Dz/ D - Replace column with products
Multiply Row By Column - Columns of first must be equal to rows of second
If A is a subset of a universal set U - then n(A) p n(U) - n(_A)

28. Transverse Axis
one triangle
4p
Length of one vertex to the other 2a
y= +-(b/a) (x-h) + k

29. Multiply Matrices
Multiply Row By Column - Columns of first must be equal to rows of second
4p
Given three sides of a triangle you can use Herons formula to find the area of the triangle A = v(s(s-a)(s-b)(s-c)) - S = (a + b + c)/2
nPr= (n!)/(n-r)!

30. Minor Axis
the shortest axis of an ellipse 2b
the likehood of an event happening m/n - nCr (ratio)^raised to the times desired * (ratio)^raised to the times desired - n is total r is desired
c^2 = a^2 + b^2
If two actions are mutually exclusive and the first can be done in n1 ways and the second in n2 ways- then one action OR the other can be done in n1 + n2 ways.

31. Law of Sines
(x-h)^2 + (y-k)^2/a^2 b^2 = 1 a is always bigger term
order Doesn't Matter
the likehood of an event happening m/n - nCr (ratio)^raised to the times desired * (ratio)^raised to the times desired - n is total r is desired
sinA/a=sinB/b=sinC/c

32. cot
y= +-(b/a) (x-h) + k
one triangle
length from one covertex to the other 2b
cos t/ sin t

33. Major Axis
the longest axis of an ellipse 2a
Given an m x n matrix A - its transpose is the n x m
to add or subtract matrices - simply add or subtract matrices only if the have the same dimensions
2 events that can't be done together.

34. Solving Triangle if angle is obtuse
the likehood of an event happening m/n - nCr (ratio)^raised to the times desired * (ratio)^raised to the times desired - n is total r is desired
To find an obtuse angle you need to use the Law of Cosines and when given SSS or SAS
Center + P
sin2 t + cos2 t =

35. Inclusion Exclusion Principle
one triangle
n(A u B0 = n(A) + n(B) - n(A n B)
the longest axis of an ellipse 2a
nPr= (n!)/(n-r)!

36. h =
the shortest axis of an ellipse 2b
nPr= (n!)/(n-r)!
(side adjacent to given angle) sin (given angle) - h = b(sina)
sin2 t + cos2 t =

37. tan t
No triangle
ratio
sin t/ cos t
Order Matters

38. Directrix
Two Triangles
A = 1/2ac sin B - where a and c are the lengths of two sides and B is the angle between them.
order Doesn't Matter
center - p

39. Equation of Parabola
y= +-(b/a) (x-h) + k
If two actions are mutually exclusive and the first can be done in n1 ways and the second in n2 ways- then one action OR the other can be done in n1 + n2 ways.
ratio
regular (opens up/down): 4p(y - k) = (x - h)2 - sideways (opens right/left):4p(x - h) = (y - k)2

40. Heron's Formula
4p
Given three sides of a triangle you can use Herons formula to find the area of the triangle A = v(s(s-a)(s-b)(s-c)) - S = (a + b + c)/2
X= Dx/ D - Y =Dy/ D - Z = Dz/ D - Replace column with products
Given an m x n matrix A - its transpose is the n x m

41. Mutually Exclusive

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

42. Addition Principle
ratio
If an action can be performed in n1 ways - and for each of these ways another action can be performed in n2 ways - then the two actions can be performed together in n1n2 ways.
2b²/a
If two actions are mutually exclusive and the first can be done in n1 ways and the second in n2 ways- then one action OR the other can be done in n1 + n2 ways.

43. Ellipses Conic Section
Two Triangles
(x-h)^2 - (y-k)^2/a^2 b^2 = 1 - (y-k)^2 - (x-h)^2/a^2 b^2 = 1 - a is always positive term
If two actions are mutually exclusive and the first can be done in n1 ways and the second in n2 ways- then one action OR the other can be done in n1 + n2 ways.
(x-h)^2 + (y-k)^2/a^2 b^2 = 1 a is always bigger term

44. sec2 t
ratio
= 1 + tan2 t
(x-h)^2 + (y-k)^2 = r^2
Multiply Row By Column - Columns of first must be equal to rows of second

45. Combination Formula
nCr= (n!)/((n-r)! r!)
A = 1/2ac sin B - where a and c are the lengths of two sides and B is the angle between them.
1/ sin t
2p

46. Probabilty
= 1 + tan2 t
n(A u B0 = n(A) + n(B) - n(A n B)
If two actions are mutually exclusive and the first can be done in n1 ways and the second in n2 ways- then one action OR the other can be done in n1 + n2 ways.
the likehood of an event happening m/n - nCr (ratio)^raised to the times desired * (ratio)^raised to the times desired - n is total r is desired

47. sec t
No triangle
order Doesn't Matter
m X N - rows by columns
1/ cos t

48. matrices order
sin t/ cos t
order Doesn't Matter
m X N - rows by columns
(x-h)^2 + (y-k)^2/a^2 b^2 = 1 a is always bigger term

49. Transpose Matrices
Given three sides of a triangle you can use Herons formula to find the area of the triangle A = v(s(s-a)(s-b)(s-c)) - S = (a + b + c)/2
one triangle
Given an m x n matrix A - its transpose is the n x m
No triangle

50. Law of Cosines
c^2 = a^2 - b^2
c²=a²+b²-2abcosC
order Doesn't Matter
y= +-(b/a) (x-h) + k