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Linear equations and functions

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

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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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