Equation Examples Solving Linear Equations subtract divide by Solving Linear Equations (including fractions) (1/2)x = 4 + x multiply by (2/1) or x = 8 + 2x subtract subtract x -8 = x, or x = -8 Solving Inequalities 4x > divide by Intro to Functions f (x) = 7x + 9 evaluate for x = 3 solve arithmetic f (3) = 30 Finding Slope A line passes through (-5, 7) and (10, 17) Find the rise (y2 -- y1) Find the run (x2 -- x1) Slope = rise/run Finding the Equation

equations for a macroeconomic model including private, public, and international sectors. Derive the aggregate demand function. List the forces (i.e., factors) which are held constant for each behavioral equation. Select four of these and, for each, explain how a change in the exogenous factor will affect the aggregate demand function. Explain the effect of each change on real income and output, employment, the price level, the interest rate, the

8 meters/s^2), and t is the time elapsed in seconds. For example, an object is thrown at 9 meters per second. The path it will travel is described by the following graph: 3.Hyperbola Hyperbolas are produced using equations of the form (x - h)^2/a^2 - (y - k)^2/b^2 = 1. There are various examples of hyperbolas in real-life. Two stones thrown in a pool of water will produce ripples of concentric circles.

calculations it is necessary to show intermediate steps and formulas used, not just the final answer. Showing your work allows partial credit to be awarded in case the final answer is wrong. To receive credit (even if the answer is correct), you must show your work. Suppose that you start a business manufacturing and selling bicycles, and it costs you $5,000 to get started. You determine that each bicycle will

Americans call spaceflight 'essential,'" is a good example of the media's misuse of statistics. The title implies that most Americans feel that spaceflight is an essential program for the United States to be involved in, but what the story actually states is that "Fifty-eight percent of respondents called U.S. leadership in human spaceflight 'essential.'" (Jansen) The poll really asserts that most Americans feel that America needs to be the

Managerial Math Solve each of the following equations for the unknown variable. a) 15x + 40 = 8x - 15x +49 = 8x 49= -7x b) 7y - 1 = 23-5y Y= c) 9(2x + 8) = 20 - (x + 5) = 15-x d) 4(3y - 1) - 6 = 5(y + 2) Y = (20/7) Bob Brown bought two plots of land for a total of $110,000. On the first plot, he made a profit of 16%. On the