Thursday, April 22, 2010

Solving systems of equations

Visit SOLVING A SYSTEM OF EQUATIONS BY GRAPHING and complete the tutorial. Write a reflection of the tutorial here. Hand in the completed exercises from the tutorial tomorrow in class. For more help with graphing quadratic functions by hand visit PurpleMath.com
For help with graphing quadratic functions on your graphing calculator visit MathBits.com


For your reflection consider:

Was the tutorial easy to follow?
Did the tutorial help you?
Were the examples good representations of real world problems?

Try to find a real world situation that would involve applying a system of equations to solve. Share it with your classmates here.

6 comments:

  1. yes the tutorial provided help and was easy to follow. The examples could represent real world problems. You could use a system of equations in a business when trying to find employee to profit ratios or etc.

    -Jesse

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  2. Same as Jesse.
    Brendan

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  3. the website was easy to follow, but it was somewhat brief at times. It didn't really help to find the final answers of the examples. My example would be the same as Jesse's

    Nick D.

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  4. The post was fairly easy to follow. just as nick said it was brief at occasional times. the examples it gave did not do much help to make me better understand this whole process -Anthony

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  5. Yes the tutorial was easy to follow and it did help me. The website showed the graphing part step by step. The only problem it was brief at times.

    Simon Bellido

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  6. Reflection of Website:
    Definations:
    Calculator:a small machine that is used for mathematical calculations.

    Function:A relation that assigns exactly one value in the range to each value of the domain.

    Quadratic Equation-An equation you can write in the standard form y = ax2 + bx + c = 0, where a does not equal 0.

    Linear Equation-An equation that when graphed forms a straight line.

    Solving a Linear-Quadratic System by Graphing involves graphing each equation, identifying which equation is a parabola the other being linear, and locating/listing the points of intersection if there are any intersecting pts.

    Linear will be in the form y = mx + b
    Quadratic will be in the form y = ax^2 + bx + c

    The solution set of a linear-quadratic system of equations, consists of either two ordered pairs of numbers,one ordered pair of numbers and no ordered pair which would be no solution.

    As people said before, the website was easy to follow. The graphing calculator was both interactive and helpful. Like Nick said, it didnt help find the final answers of the examples. Though we could use what we learned already. It was kinda of a brief review. Also it was easier using our own graphing calculator.

    One example is a nutritious drink which consists of whole egg, milk, and orange juice in a table. How much of each ingredient do we need to produce a drink of 540 calories and 25 grams of protein? Let x be the number of eggs, y the amount of milk (in cups), and z the amount of orange of juice (in cups).
    Egg=80(calories), 6 (grams)
    Cup Milk=160(calories), 9 (grams)
    Cup Orange Juice=110(calories, 2 (grams)
    80x + 160y + 110z=540
    6x + 9y + 2z = 25
    Mark Soriano

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