College Algebra Final Exam Review

In this video we go through 50 typical questions covered on a college algebra final exam. We go through formulas, concepts, and things to pay attention to as we go step by step through each of these different 50 examples.

Time Stamps:
0:28 Identifying Quadrants Points are in
1:17 Solving a linear equation with variables on both sides
2:57 Solving a Rational Equation with Variables in Denominator
5:02 Solving a Rational Equation Example 2
7:37 Solving a Literal Equation for a Particular Variable
8:33 Systems of Linear Equations involving interest earned Word Problem
10:32 Solving a Radical Equation
12:53 Absolute Value Equation
14:16 Absolute Value Inequality
17:00 Solve a Quadratic Inequality Using the Number Line
19:57 Solving Rational Inequality Using the Number Line
23:11 Finding the Slope between 2 Points
24:16 Find Equation of Perpendicular Line through a Given Point
26:30 Find Distance and Midpoint
28:15 Write Standard Equation of a Circle
29:04 Is y a function of x?
31:10 Evaluate Given a Piecewise Function
32:10 Find the Domain Given an Equation
33:17 Find the Range Given a Graph
34:00 Describe the Transformations Given an Equation
36:38 Find the Composition of 2 Functions
38:06 Find the Inverse of a Function Given Equation
39:15 Is the Graph 1 to 1?
40:31 Find the Vertex of a Parabola Given Vertex Form
41:13 Find the Vertex Given Standard Form of a Quadratic
42:01 Find the Vertex Given Intercept Form of a Parabola
43:21 Sketch the Polynomial Given Factored Form
45:50 Describe the End Behavior of a Polynomial Given Equation
47:33 Divide Polynomials Using Synthetic Division
48:46 Find all the Zeros of the Polynomial Using Rational Root Thm
51:31 Write a Polynomial with Integer Coefficients Given Imaginary Zeros
53:08 Graph a Rational Function with Asymptotes, Zeros, Test Points
56:05 Write an Inverse Variation Equation and Solve
57:38 Compound Interest Word Problem
58:42 Evaluate Logarithms
59:35 Graph a Logarithmic Function
1:01:10 Expand a Logarithmic Expression
1:02:06 Condense a Logarithmic Expression into 1 Log
1:03:00 Solve a Logarithmic Equation
1:04:12 Compounding Continuously Word Problem
1:05:51 Solve a System of Linear Equations
1:07:17 Add, Subtract, and Multiply Complex Numbers
1:09:14 Solve an Exponential Equation by Getting Bases Equal
1:10:43 Solve an Exponential Equation by Using Logs
1:11:46 Given a Table Decide Linear or Nonlinear
1:12:41 Solve the Quadratic Equation Using Quadratic Formula
1:15:03 State the Minimum Degree of Polynomial Given Graph
1:16:08 Where is the Graph Increasing (Interval Notation)
1:17:05 Graph an Exponential Equation with Transformations
1:19:30 Solve a System of 3 Equations with 3 Variables

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Time Stamps:
0:28 Identifying Quadrants Points are in
1:17 Solving a linear equation with variables on both sides
2:57 Solving a Rational Equation with Variables in Denominator
5:02 Solving a Rational Equation Example 2
7:37 Solving a Literal Equation for a Particular Variable
8:33 Systems of Linear Equations involving interest earned Word Problem
10:32 Solving a Radical Equation
12:53 Absolute Value Equation
14:16 Absolute Value Inequality
17:00 Solve a Quadratic Inequality Using the Number Line
19:57 Solving Rational Inequality Using the Number Line
23:11 Finding the Slope between 2 Points
24:16 Find Equation of Perpendicular Line through a Given Point
26:30 Find Distance and Midpoint
28:15 Write Standard Equation of a Circle
29:04 Is y a function of x?
31:10 Evaluate Given a Piecewise Function
32:10 Find the Domain Given an Equation
33:17 Find the Range Given a Graph
34:00 Describe the Transformations Given an Equation
36:38 Find the Composition of 2 Functions
38:06 Find the Inverse of a Function Given Equation
39:15 Is the Graph 1 to 1?
40:31 Find the Vertex of a Parabola Given Vertex Form
41:13 Find the Vertex Given Standard Form of a Quadratic
42:01 Find the Vertex Given Intercept Form of a Parabola
43:21 Sketch the Polynomial Given Factored Form
45:50 Describe the End Behavior of a Polynomial Given Equation
47:33 Divide Polynomials Using Synthetic Division
48:46 Find all the Zeros of the Polynomial Using Rational Root Thm
51:31 Write a Polynomial with Integer Coefficients Given Imaginary Zeros
53:08 Graph a Rational Function with Asymptotes, Zeros, Test Points
56:05 Write an Inverse Variation Equation and Solve
57:38 Compound Interest Word Problem
58:42 Evaluate Logarithms
59:35 Graph a Logarithmic Function
1:01:10 Expand a Logarithmic Expression
1:02:06 Condense a Logarithmic Expression into 1 Log
1:03:00 Solve a Logarithmic Equation
1:04:12 Compounding Continuously Word Problem
1:05:51 Solve a System of Linear Equations
1:07:17 Add, Subtract, and Multiply Complex Numbers
1:09:14 Solve an Exponential Equation by Getting Bases Equal
1:10:43 Solve an Exponential Equation by Using Logs
1:11:46 Given a Table Decide Linear or Nonlinear
1:12:41 Solve the Quadratic Equation Using Quadratic Formula
1:15:03 State the Minimum Degree of Polynomial Given Graph
1:16:08 Where is the Graph Increasing (Interval Notation)
1:17:05 Graph an Exponential Equation with Transformations
1:19:30 Solve a System of 3 Equations with 3 Variables

[nnomtnert]

Posted literally 3 days before my College Algebra final. This is a godsend. Thank you so much!

[natalieburney]

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[thevoiceofprophecytoday]

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[martinshewfelt]

Thank you Mario! I'm working through the online Modern States College Algebra course for the CLEP so I won't have to take the class in Fall & will come back to this towards the end

[Cristiferbeast]

By far the best review I’ve seen on Youtube

[TheZombieTroll]

This was so much better than how my teacher taught it. Thank you so much!

[Pep-Per-View]

Excellent teacher, you saved me a good $500 for a class I didn't need to take. Amazing refresher, thank you!

[mal]

Just wanted to tell you that my final was yesterday and I used this video as a review! Watched it 3+ times and got a B on my final! Thank you so much!!

[Lenlar-uput]

who else be watching 30min before the test at x2 speed

[BillSwick-bkms]

Thank you sir so much you saved me on my algebra final. I’m in middle school taking high school algebra and this saved me and I got a perfect score. Thank you so much!

[jessicamartinez]

I stayed throughout the whole video! great teaching skills THANK YOU!!!!

[dylanperez]

this video helped a lot. i was getting lost when you would start doing synthetic division and when you got to finding the zeros. Probably my professor taught us another way but some problems confused me even more.

[Boiling_milk]

Great video very helpful, do you have any worksheets that can go along with this for extra practice?

[claradavis]

watching this two hours before my test and i legit think it might save me

[AbbieSmith-yy]

you are the best, thank you so much. I love the way you teach math

[CliffordDickson-wm]

You have a way of making things stick!

[CarlosLopez-xmyn]

Very helpful and instructional, I will be coming back!

[hi-tfrr]

Thank you so much for this! Quick question: is college algebra the same as algebra 1 and 2?