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    Linear equations and functions

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    I need help with the attached problems.

    1.) Solve.
    5/8x + 1/16x = 11/16 + x
    The solution is x=___. (Simplify answer. Type integer or fraction.)

    2.) Solve.
    8x - (6x + 4) = 6
    The solution is x=____.

    3.) Solve by the elimination method.
    2x + 3y = 3
    4x + 6y = 6
    What is the solution of the system? _______ (Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type I if there are infinitely many solutions.)

    4.) Solve using the multiplication principle. Don't forget to perform a check.
    7x = -56
    The solution is x=_____.

    5.) Evaluate.
    R+S/8 R = 46 and S = 10
    R+S/8 =_____. (Simplify your answer.)

    6.) Graph the equation.
    Y = 6

    7.) Media services charge $20 for a phone and $30/month for its economy plan. The equation c = 30t + 20 describes the total cost, c, of operating a media services phone for t months.
    The total cost for 3 months of service is $_____.
    If a customer has only $90 available, how many months of service can she receive? _______.

    8.) Solve by the elimination method.
    2r - 7s = -33
    7r + 2s = 17
    What is the solution of the system? _____. (Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type I if there are infinitely many solutions.)

    9.) Find the slope, if it exists, of the line containing the pair of points.
    (6, 10) and (9, -8)
    The slope m =_______. (Simplify your answer. Type an integer or a fraction. Type N if the slope is undefined.)

    10.) Find the domain of the function.
    G(x) = 8/5 -7x

    11.) Graph the equation and identify the y-intercept. (Type ordered pair for y-intercept.)
    Y + x = -4

    © BrainMass Inc. brainmass.com October 9, 2019, 10:22 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/linear-equations-and-functions-218174

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    Solution Summary

    This provides several examples of working with functions and linear equations, including graphing, domain, slope, elimination method, and word problems.

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