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​​ALGEBRA EXAMPLES

Solving an Inequality

4/30/2010

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What is 1 - x <  2x, and how do you solve it?


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Point-Slope Form

4/29/2010

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Find an equation of the line with the given slope that passes through the given point.
Write the equation in the form Ax + By = C.  The problem is m = - 5, (-2,-7)


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Simplifying Complex Number

4/28/2010

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What is  √(-9) in terms of i?


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Solving a Quadratic Equation

4/27/2010

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What is the solution set of the equation:  4(3x – 2)² = 36?


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Working with Linear Equations

4/12/2010

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Which of the following equations is equivalent to 1/2x - 2/3y = 5
x - 2y = 30
4x - 3y = 30
3x - 4y = 30
Please explain how you got it, and please actually help me.



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Factoring a Trinomial into Two Binomials

4/11/2010

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How do you factor the expression below, can you also show how it is worked out
x²
 - 5x + 6


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Solving Linear Equations Involving Fraction

4/10/2010

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How do you solve this:
 81/c = 10
can not remember how to get "c" by itself


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Solving Quadratic Equation by Factoring

4/9/2010

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How would you solve this by factoring?
3z²
 - 48 = 0
I got it down to 3(z - 4)(z + 4) = 0
But I don't know how to get the solution set.... please help?



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Geometry Involving Quadratic Equation

4/8/2010

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The length of a rectangular field is 5 meters more than its width. Its area is 300 square meters. How long is the field?


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Height of an Object, Using Quadratic Equation

4/7/2010

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A package drops. The height of the package above the ground at any time is modeled by the function
h(t)= -5t² 
- 30t + 675, where h(t) is the height in meters, and t is the time in seconds. How long will it take the package to hit the ground? Please show your work and explain what you did because I want to learn it and not just copy.



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