Course # and Section #: MTH 120: WN 110 Start Date: Feb. 2, The following CHECKED items are ALLOWED to be taken in the testing room by students;

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1 DELTA COLLEGE ACADEMIC TESTING CENTER Printed Name of Student Taking Exam EXAM COVERSHEET Instructor s Name: Jim Ham Exam #: Course # and Section #: MTH 2: WN Start Date: Feb. 2, 22 Type of Exam: Out-of Class Distance Learning End Date: Feb. 9, 22 The following CHECKED items are ALLOWED to be taken in the testing room by students; Computer Calculator Class Notes (handwritten-specify) Add Special Instruction Here: Scrap paper given to students by testing monitors will be collected and attached to exams. Class Notes (typed or photocopied-specify) Textbook Periodic Table Ruler Colored Pencils Select ONE answer key type from the list below: NCS (Blue, Multiple Choice, 8-/2 x ) ScanTron (Green, Multiple Choice, 4 x ) Mini Essay Book (Lined and Multiple Choice) This exam contains a collection of problems from Chapters - of your textbook. You may receive partial credit on these problems so show all your work in the spaces provided and be thorough in your explanations. Answers without work or justification may not receive full credit. You may use a graphing calculator on this exam. If not indicated, round all answers to decimal places. CIRCLE YOUR ANSWERS. Problems begin on the next page. Good Luck! Delta College Academic Testing Center--A2 96 Delta Road University Center, MI ATC Main Office: FAX:

2 . Find the equation in the form y = mx + b for each line described below. The line passes through the points (-5, 2) and (, -7). The line is parallel to the line x + 6y = 7, and has an x-intercept of Suppose that a linear cost function for an item is given by C(x) = 2x + 5,. What is the cost to produce 6 of these items? The items sell for $ each. What is the linear revenue function? How much revenue is generated by selling 6 of these items? What is the break-even quantity? What is the linear profit function? What is the profit (or loss) from producing and selling 9 of these items?. Suppose that the quantity supplied S and the quantity demanded D of hot dogs at a baseball game are given by the following equations: S = p 2; D = p Find the equilibrium (market) price for hot dogs at the baseball game. What is the equilibrium quantity?

3 4. One of the biggest factors in determining the value of a home is the square footage. The following data represent the square footage and asking price (in thousands of dollars) for a random sample of homes in Midland, Michigan, in December, 27. Square Footage (x) Asking Price ($s) (y) Find the equation for the line containing the two data points (22, 7) and (42, 8). Explain whether or not you think the line in part is a good model for these data. Use your calculator (LinReg) to find the least-squares regression line (line of best fit). Round the slope and y-intercept to decimal places. Interpret the meaning of the slope of your line in part. (e) Use the model (equation) in part to predict the asking price for a 5 square foot home. (f) Use the model (equation) in part to predict the square footage of a home if the asking price is $65,. Data Analysis on the TI-8/84 A. To enter data. ) Press STAT, ENTER 2) If data is already present, use arrow to move up to L and press CLEAR, ENTER. (Continue for all lists that need to be cleared.) ) Go to the space under L and type the first x-value and hit ENTER. Continue until all x-values are in L. Repeat this procedure for L2 with corresponding y-values. B. To set-up a scatterplot. ) Press 2nd, STATPLOT, ENTER, ENTER. 2) If they are not already chosen, set the graph "TYPE" to scatterplot by highlighting the scatterplot icon; then set "Xlist" to L and "Ylist" to L2. C. To plot the data. ) Go to Y= and clear or turn-off all equations. 2) Press ZOOM, 9. D. To find the equation of the regression equation. ) Linear Regression (y=ax+b): Press STAT, CALC, 4, ENTER. E. To plot the graph of the regression equation. Press Y=, VARS, 5, use the arrow key to go to EQ,, GRAPH.

4 5. Given the matrices below, determine the following. If you can not complete the calculation write, CAN'T DO. A = 2 4 B = 2 5y 4 x C = 4 6 D = 7 A 2 2B 5A BC AB (e) DA 6. Perform the indicated row operation on the matrix given below. Write down the resulting matrix. R 2 = 5r + r A cookie company makes three kinds of cookies oatmeal raisin, chocolate chip, and shortbread packaged in small, medium, and large boxes. The small box contains dozen oatmeal raisin and dozen chocolate chip; the medium box contains 2 dozen oatmeal raisin, dozen chocolate chip, and dozen shortbread; the large box contains 2 dozen oatmeal raisin, 2 dozen chocolate chip, and dozen shortbread. If you require exactly 5 dozen oatmeal raisin, dozen chocolate chip, and dozen shortbread cookies, how many of each size box should you buy? 8. Graph the following. 2x 8y = 24 x = 4 6y + x =

5 9. Solve the following linear systems of equations. If there are no solutions, write INCONSISTENT. If an infinite number of solutions exist, select z as the parameter and determine the general solution AND identify one numerical solution. 2 x y = x + y = x + z = 4y 69 x + 5y = 2z y + 7z = 7x x + 6y + 7z = 2x 6y = + 5z 24y + 22z + 7 = 5x + 5y z = 7 x + 5y + 8z = x y 7z = 8 Extra Credit: An augmented matrix of a 4x4 system of linear equations is 2 7 row echelon form without using technology, then solve the system. Show all work Put the matrix in