California State University – MATH 101: College
Algebra Verified Practice Questions with A+
Answers | Final Exam Guide FOR 2025/2026 (the
most recent quizzes)
How to take the complex conjugate - ✔✔flip sign for complex part and leave real part normal
What is the complex arithmetic rule - ✔✔(ai)(b+ci) = -ac+abi
-i*i - ✔✔1
i*i - ✔✔-1
-i*-i - ✔✔-1
Polar radius from cartesian - ✔✔r = √(x^2 + Y^2)
Polar angle from cartesian - ✔✔arctan(x/y)
What is x in polar coordinates - ✔✔x = rcos(theta)
What can a circle centered at (h,k) be parameterized as - ✔✔x = h + rcos(t)
y = k + rsin(t)
What can be interpreted from the following equation?
(x+a)^2 + (y+b)^2 = c - ✔✔A circle with the center (-a,-b) and radius √c
What is the sum of a geometric series - ✔✔S = a_1/1-r, USE a_1 not just ab
If a sequence converges to a limit, how do you find that limit - ✔✔Set limit = L, and therefore
a_n and a_n+1 = L, sub into recursive definition, solve for L
What is a telescoping series - ✔✔A series where nearly every term cancels with the preceding or
following term. They will look like (a -b) + (a_2 - b_2) .... Use partial fraction decomposition if
the series is just one fraction. Next write the general form which is a_1 + a_2 + ... + a_n-1 + a_n.
Finally find the sum of the series by taking the infinite limit. If it is a finite number the original
series converges
How can you find the sum of a series that is a fraction - ✔✔Using partial fraction decomposition
divide the definition into 2 parts to make it of the form of a telescoping series. Then write out the
first few terms of the series and see what cancels. Then the answer is whatever is left over.
What information can you get if you take the following limit:
Algebra Verified Practice Questions with A+
Answers | Final Exam Guide FOR 2025/2026 (the
most recent quizzes)
How to take the complex conjugate - ✔✔flip sign for complex part and leave real part normal
What is the complex arithmetic rule - ✔✔(ai)(b+ci) = -ac+abi
-i*i - ✔✔1
i*i - ✔✔-1
-i*-i - ✔✔-1
Polar radius from cartesian - ✔✔r = √(x^2 + Y^2)
Polar angle from cartesian - ✔✔arctan(x/y)
What is x in polar coordinates - ✔✔x = rcos(theta)
What can a circle centered at (h,k) be parameterized as - ✔✔x = h + rcos(t)
y = k + rsin(t)
What can be interpreted from the following equation?
(x+a)^2 + (y+b)^2 = c - ✔✔A circle with the center (-a,-b) and radius √c
What is the sum of a geometric series - ✔✔S = a_1/1-r, USE a_1 not just ab
If a sequence converges to a limit, how do you find that limit - ✔✔Set limit = L, and therefore
a_n and a_n+1 = L, sub into recursive definition, solve for L
What is a telescoping series - ✔✔A series where nearly every term cancels with the preceding or
following term. They will look like (a -b) + (a_2 - b_2) .... Use partial fraction decomposition if
the series is just one fraction. Next write the general form which is a_1 + a_2 + ... + a_n-1 + a_n.
Finally find the sum of the series by taking the infinite limit. If it is a finite number the original
series converges
How can you find the sum of a series that is a fraction - ✔✔Using partial fraction decomposition
divide the definition into 2 parts to make it of the form of a telescoping series. Then write out the
first few terms of the series and see what cancels. Then the answer is whatever is left over.
What information can you get if you take the following limit:
