Online+Algebra+II

=Online Algebra II Resources= Below are videos that may help you to understand some of the more complex procedures in the ALEKS Algebra II curriculum. 1. Composition of Functions 2. Solving Radical Equations 3. Solving (Advanced) Radical Equations 4. Factoring a Quadratic with Leading Coefficient 1 5. Factoring a Difference of Two Squares 6. Set Builder and Interval Notation 7. Factoring a Perfect Square Trinomial 8. Factoring a Quadratic with Leading Coefficient Greater Than 1

Here's a video that helps to explain "Composition of Functions." It's tricky, so you may need to watch the video a few times. I suggest that you do the steps as the man in the example does, and pause after each step to make sure you understand why he did what he did. Then try the next step on your own to see if you can get it correct. Then continue the video to see if you're right. See if this works for you. On your ALEKS lessons you may be asked to also substitute a number into the final composition to get a number as your final answer instead of just an expression like these examples show. Let me know if you need more examples. I'll be glad to provide more explanation. || media type="youtube" key="S4AEZElTPDo" height="344" width="425" || This video is a more simplistic example of the type of problem you're required to do, but it's a good example to show the basics of the procedure used. The only difference between this example and the ones in the ALEKS topic is that this one only has one radical in the original problem, and the more advanced ones in ALEKS have two radicals to start with. Do this one and then see the video below... || media type="youtube" key="LY8VBsLf-4M" height="344" width="425" || This video is more like the ALEKS problems you are expected to tackle. the first step is to isolate ONE of the radicals on a side by itself and then square both sides. If you have the isolated radical on the left (as in this video), then the right side will involve multiplying two radicals when you F.O.I.L. it. **BE CAREFUL TO F.O.I.L. CORRECTLY!!!!** You will then have one radical on the right side (after F.O.I.L.), so you just isolate THAT one and square both sides again! Let me know if this helps. If it doesn't, I'll search for more examples or try to explain in another way. || media type="youtube" key="yiocaTURZO0" height="344" width="425" || This video offers a very good visual way to set up these kinds of problems. This method will only work if there is NO NUMBER IN FRONT OF THE X SQAURED. || media type="youtube" key="vVWm2gyROQQ" height="315" width="560" || Factoring a difference of squares is easy once you learn the pattern. Be sure to remember that DIFFERENCE means SUBTRACTION, so you can only use this technique if you are SUBTRACTING two perfect squares. If you're not sure what a "perfect square" is, click the link above. || media type="youtube" key="wvFr1BqU4g8" height="315" width="420" || This is a very good video that explains and shows examples of both notations. || media type="youtube" key="O6LQMAknI3U" height="315" width="420" || This method can only be used if the first and last terms of a trinomial are PERFECT SQUARES. Always be sure to check your answer by using the F.O.I.L. method. || media type="youtube" key="apWn9pMygCc" height="315" width="420" || This process is a complicated one, so you will most likely have to watch this video many times -- don't try to absorb the whole process all at once! TIP: After you have watched this once through, watch it again with one of your examples beside you so that you can match the teacher's steps to the ones that you need to do. || media type="youtube" key="VQc1eaLvXcY" height="315" width="420" ||
 * **Topic** || **Video** ||
 * __**1. COMPOSITION OF FUNCTIONS...**__
 * **__2. SOLVING RADICAL EQUATIONS...__**
 * **__3. SOLVING (ADVANCED) RADICAL EQUATIONS...__**
 * __**4. FACTORING A QUADRATIC WITH A LEADING COEFFICIENT 1...**__
 * **__5. FACTORING A DIFFERENCE OF TWO SQUARES...__**
 * **__6. SET BUILDER AND INTERVAL NOTATION...__**
 * __**7. FACTORING A PERFECT SQUARE TRINOMIAL...**__
 * __**8. FACTORING A QUADRATIC WITH LEADING COEFFICIENT GREATER THAN 1...**__