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    Algebra

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    Investigating Power Series

    Expand (1-z)^-m in powers of z for m in N. Let (1-z)^-m=sum from n=0 to infinity of (a_nz^n) then a_n ~n^m-1/(m-1)! as n-> oo where ~ means that the quotient of the expressions to the left and the right of it tends to 1.

    Writing Equations from Word Problems

    The sum of two numbers is less than 17. The second number is 1 more than the first. What are the possible values for the first of the two numbers?

    Solving Equations

    The surface area of a right prism is given by , where is the area of the base, is the perimeter of the base, and is the height of the prism. Solve for . Please see the attached file for the fully formatted problem.

    Writing Equations from Word Problems : Intersecting Lines

    Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $26 one-time activation fee and charges 14 cents a minute. The second plan has no activation fee and charges 18 cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal?

    What would be the difficulties associated with modeling this situation?

    After contacting all of the professionals, you set up a "blog" (weblog) for you and them to share. You'll use this "blog" as the weeks go by to ask the group questions, raise issues for discussion and encourage networking among this diverse group. You decide to start your article with a math example that the readers can unde

    Slope of an inequality

    For 3y - 5x > 15 a) Find its slope. b) Find its y-intercept c) Is the line dashed or solid? d) Is the shaded area above or below the line? e) Write in slope-intercept form and standard form. (using only integers for standard forms). f) Does the point (1, -3) satisfy the inequality?

    Writing Equations from Word Problems

    . After 2 minutes on a treadmill, Jenny has a heart rate of 82. After 3 minutes she has a heart rate of 86. Assume that there is a linear equation that gives her heart rate h in terms of time on the treadmill t. Find the equation and use it to predict her heart rate after 10 minutes on the treadmill.

    Finding the Equation of a Line

    Find the equation of each line in the form y = mx + b if possible. The line through the origin that is perpendicular to the line through (-3, 0) and (0, -3)

    Find the equation of the line.

    Find the equation of the line. Write your answer in slope - intercept form The line is parallel to -3x + 2y = 9 and contains the point (-2, 1)

    How do you find the equation of a line?

    Write an equation in slope-intercept form, if possible, for each line. 1. The line through (0, -2) that is parallel to the line y = -1/3x + 6. 2. The line through (0, 4) with slope -1/2.

    Find the line through (-2,5) with slope -1.

    Find the line through (-2,5) with slope -1. The solution of this problem which is given in the attached solution file gives a very clear and easy approach of solving this type of solutions and the students can use this solution as a model to solve other similar problems.