SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
Test your basic knowledge |
CLEP Pre - Calculus 2
Start Test
Study First
Subjects
:
clep
,
math
,
calculus
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. If A is obtuse a> b
one triangle
1/ cos t
y= +-(b/a) (x-h) + k
to add or subtract matrices - simply add or subtract matrices only if the have the same dimensions
2. Permutations
Order Matters
y= +-(a/b) (x-h) + k
_ _ 1/detA * | d -b | |-c a | - -
ratio
3. Focus of Parabola
c^2 = a^2 + b^2
order Doesn't Matter
Center + P
To find an obtuse angle you need to use the Law of Cosines and when given SSS or SAS
4. sec t
nCr= (n!)/((n-r)! r!)
the shortest axis of an ellipse 2b
1/ cos t
Length of one vertex to the other 2a
5. Transpose Matrices
one triangle
Given an m x n matrix A - its transpose is the n x m
If A is a subset of a universal set U - then n(A) p n(U) - n(_A)
Two Triangles
6. 1=
(x-h)^2 + (y-k)^2 = r^2
Length of one vertex to the other 2a
sin2 t + cos2 t =
y= +-(b/a) (x-h) + k
7. Area Of a Triangle
y= +-(b/a) (x-h) + k
to add or subtract matrices - simply add or subtract matrices only if the have the same dimensions
A = 1/2ac sin B - where a and c are the lengths of two sides and B is the angle between them.
ad - bc
8. Equation of Parabola
regular (opens up/down): 4p(y - k) = (x - h)2 - sideways (opens right/left):4p(x - h) = (y - k)2
(x-h)^2 + (y-k)^2/a^2 b^2 = 1 a is always bigger term
y= +-(a/b) (x-h) + k
(side adjacent to given angle) sin (given angle) - h = b(sina)
9. Complement Principle
nPr= (n!)/(n-r)!
c^2 = a^2 + b^2
center - p
If A is a subset of a universal set U - then n(A) p n(U) - n(_A)
10. Inverse of 2X2 matrix
(x-h)^2 + (y-k)^2 = r^2
_ _ 1/detA * | d -b | |-c a | - -
Length of one vertex to the other 2a
sin t/ cos t
11. Conjugate Axis
1/ sin t
4p
length from one covertex to the other 2b
sinA/a=sinB/b=sinC/c
12. Binomial Theorem
length from one covertex to the other 2b
nCrx^n-ry^r
No 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
13. Focus of Hyperbola
y= +-(b/a) (x-h) + k
ad - bc
c^2 = a^2 + b^2
order Doesn't Matter
14. Heron's Formula
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
To find an obtuse angle you need to use the Law of Cosines and when given SSS or SAS
2 events that can't be done together.
No triangle
15. Inclusion Exclusion Principle
n(A u B0 = n(A) + n(B) - n(A n B)
(x-h)^2 + (y-k)^2/a^2 b^2 = 1 a is always bigger term
c^2 = a^2 + b^2
sec2 t
16. Cramer's rule
X= Dx/ D - Y =Dy/ D - Z = Dz/ D - Replace column with products
nPr= (n!)/(n-r)!
ratio
sec2 t
17. Circle Conic Section
sec2 t
4p
nPr= (n!)/(n-r)!
(x-h)^2 + (y-k)^2 = r^2
18. Focal Width
ad - bc
4p
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
19. h =
m X N - rows by columns
1
(side adjacent to given angle) sin (given angle) - h = b(sina)
Multiply Row By Column - Columns of first must be equal to rows of second
20. The Multiplication Principle
1/ sin t
= 1 + tan2 t
2 events that can't be done together.
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.
21. If A is acute a > h
n(A u B0 = n(A) + n(B) - n(A n B)
center - p
one triangle
Given an m x n matrix A - its transpose is the n x m
22. Minor Axis
sin2 t + cos2 t =
Length of one vertex to the other 2a
the shortest axis of an ellipse 2b
c^2 = a^2 - b^2
23. Equations of Hyperbola
1/ sin t
= 1 + tan2 t
1/ cos t
(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
24. Focus of ellipses
one triangle
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
c^2 = a^2 - b^2
n(A u B0 = n(A) + n(B) - n(A n B)
25. Combination Formula
one triangle
nCr= (n!)/((n-r)! r!)
c²=a²+b²-2abcosC
Length of one vertex to the other 2a
26. Adding Matrices
to add or subtract matrices - simply add or subtract matrices only if the have the same dimensions
nCr= (n!)/((n-r)! 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.
one triangle
27. Major Axis
the longest axis of an ellipse 2a
one triangle
nPr= (n!)/(n-r)!
the shortest axis of an ellipse 2b
28. tan t
4p
sin t/ cos t
sinA/a=sinB/b=sinC/c
Length of one vertex to the other 2a
29. cot
cos t/ sin t
sin t/ cos t
n(A u B0 = n(A) + n(B) - n(A n B)
_ _ 1/detA * | d -b | |-c a | - -
30. If A is obtuse a=< b
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
No triangle
= 1 + tan2 t
to add or subtract matrices - simply add or subtract matrices only if the have the same dimensions
31. Law of Sines
sinA/a=sinB/b=sinC/c
If A is a subset of a universal set U - then n(A) p n(U) - n(_A)
Length of one vertex to the other 2a
sin t/ cos t
32. Probabilty
length from one covertex to the other 2b
2 events that can't be done together.
A = 1/2ac sin B - where a and c are the lengths of two sides and B is the angle between them.
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
33. odds:
nCr= (n!)/((n-r)! r!)
ratio
(x-h)^2 + (y-k)^2/a^2 b^2 = 1 a is always bigger term
1/ sin t
34. csc t
(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
1/ sin t
Center + P
to add or subtract matrices - simply add or subtract matrices only if the have the same dimensions
35. Law of Cosines
2b²/a
to add or subtract matrices - simply add or subtract matrices only if the have the same dimensions
c²=a²+b²-2abcosC
nCrx^n-ry^r
36. Ellipses Conic Section
(x-h)^2 + (y-k)^2/a^2 b^2 = 1 a is always bigger term
To find an obtuse angle you need to use the Law of Cosines and when given SSS or SAS
Given an m x n matrix A - its transpose is the n x m
nCr= (n!)/((n-r)! r!)
37. Asymptote of hyperbola that opens up and down
sin2 t + cos2 t =
regular (opens up/down): 4p(y - k) = (x - h)2 - sideways (opens right/left):4p(x - h) = (y - k)2
_ _ 1/detA * | d -b | |-c a | - -
y= +-(a/b) (x-h) + k
38. matrices order
(x-h)^2 + (y-k)^2 = r^2
4p
m X N - rows by columns
sinA/a=sinB/b=sinC/c
39. 1 + tan2 t =
the longest axis of an ellipse 2a
c²=a²+b²-2abcosC
sec2 t
Given an m x n matrix A - its transpose is the n x m
40. Solving Triangle if angle is obtuse
1
To find an obtuse angle you need to use the Law of Cosines and when given SSS or SAS
(x-h)^2 + (y-k)^2 = r^2
X= Dx/ D - Y =Dy/ D - Z = Dz/ D - Replace column with products
41. Determinant
sec2 t
cos t/ sin t
sinA/a=sinB/b=sinC/c
ad - bc
42. sin2 t + cos2 t =
(side adjacent to given angle) sin (given angle) - h = b(sina)
ratio
c^2 = a^2 + b^2
1
43. Combinations
44. Mutually Exclusive
45. If A is acute a<h
cos t/ sin t
No triangle
Multiply Row By Column - Columns of first must be equal to rows of second
one triangle
46. Transverse Axis
Length of one vertex to the other 2a
to add or subtract matrices - simply add or subtract matrices only if the have the same dimensions
sinA/a=sinB/b=sinC/c
If A is a subset of a universal set U - then n(A) p n(U) - n(_A)
47. Asymptote of hyperbola that opens left and right.
y= +-(b/a) (x-h) + k
(x-h)^2 + (y-k)^2/a^2 b^2 = 1 a is always bigger term
n(A u B0 = n(A) + n(B) - n(A n B)
(x-h)^2 + (y-k)^2 = r^2
48. Multiply Matrices
sec2 t
(x-h)^2 + (y-k)^2/a^2 b^2 = 1 a is always bigger term
the longest axis of an ellipse 2a
Multiply Row By Column - Columns of first must be equal to rows of second
49. Directrix
m X N - rows by columns
nCrx^n-ry^r
center - p
to add or subtract matrices - simply add or subtract matrices only if the have the same dimensions
50. Focal Width of Ellipses
nPr= (n!)/(n-r)!
Order Matters
2b²/a
order Doesn't Matter