Showing posts with label

**algebra**. Show all postsShowing posts with label

**algebra**. Show all posts## Sunday, November 30, 2014

### Algebra Final Exam

A very good way to study for the final exam in your #algebra class is to review and redo all of your old exams.

## Thursday, October 24, 2013

### Solving Equations Quadratic in Form

In this section, we make use of all the techniques that we have learned so far for solving quadratic equations. In fact, the equations found here are reducible to quadratic form.

Here are most of the reducible equations that we are likely to encounter. Begin by trying to identify what can be squared to obtain the leading variable term.

In the previous solved problem, we certainly could have distributed the expression on the left side, put the equation in standard form then re-factored it. Instead, here we are illustrating a technique that will be used to easily solve many other equations that are quadratic in form.

So far we have been able to factor after we make the

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Here are most of the reducible equations that we are likely to encounter. Begin by trying to identify what can be squared to obtain the leading variable term.

**Tip**: Look at the middle term for a hint as to what*u*should be.In the previous solved problem, we certainly could have distributed the expression on the left side, put the equation in standard form then re-factored it. Instead, here we are illustrating a technique that will be used to easily solve many other equations that are quadratic in form.

**Solve by making a***u*-substitution.**Solve**: x^6 + 26x^3 -27**Six Answers**: { -3, 1, (3±3

*i*Sqrt(3))/2, (-1±

*i*Sqrt(3))/2 }

*u*-substitution. If the resulting quadratic equation does not factor, then use the quadratic formula.**YouTube Videos**:---

## Wednesday, October 23, 2013

### Logarithms, Exponentials, and Equations

Notes and video examples covering the following topics:

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###

###

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**Topics**

- Function Composition
- Inverse Functions
- Exponential Functions and Their Graphs
- The Natural Exponential Function
- Logarithmic Functions
- Graphing Logarithmic Functions
- Change of Base Formula
- Properties of the Logarithm
- Solving Exponential Equations
- Solving Logarithmic Equations

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** Applications**

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**YouTube Videos**: ( Click a problem and watch it worked out in YouTube )

**Function Composition:**

**Inverse Functions:**

**Exponential Functions and Their Graphs**

**Logarithmic Functions**

**Graphing Logarithmic Functions**
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