docName: Advisory Book #: ______ ALGEBRA II If you are taking BOTH
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Name: Advisory Book #: ______ ALGEBRA II If you are taking BOTH
Name: ________________________ Advisory Book #: _______ ALGEBRA II If you are taking BOTH Geometry AND Algebra II in the fall of 2015, you will only need to complete the Geometry summer project this year. Due Wednesday September 16th Name: ________________________ Advisory Book #: _______ Part I: Demonstrating Knowledge of Slope and Linear Equations Given the information in each problem, write the equation for the line described. Show your work and write your final answer in the box provided. A. Slope intercept form (y = mx + b) through the points (2, 4) and (0, 2). B. Standard form (Ax + By = C) for a line parallel to the line y = 2x + 5 through the point (5, 0). C. Slope intercept form for a line perpendicular to the line 2x + y = 4 and passing through the point (1, 1). D. Slopeintercept form of a line parallel to the line x – 4y = 12 with an yintercept of 3. Name: ________________________ Advisory Book #: _______ Part II: Graphing Data by Plotting Points All measurements given in centimeters. On the grid on the next page, plot the data from both tables on a single graph. Make sure to label and scale the axes. Plot the points from each table in a different color (ie Table 1 = red, and Table 2 = blue) and include a sketched line of best fit. Name: ________________________ Advisory Book #: _______ Name: ________________________ Advisory Book #: _______ Part 3: Equations for Lines of Best Fit 1. Draw a reasonable line of best fit for the scatter plot. 2. Describe the correlation between arm span and height. ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________ 3. Write the equation for the line of best fit in slopeintercept form. (don’t forget to define your variables!) 4. Using the graph, what could you expect the arm span to be of a person whose height is 190 cm? ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________ 5. Using your line of best fit equation, what could you expect the arm span to be of a person whose height is 190 cm? ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________ 6. Using your line of best fit equation, what could you expect the height of a person to be whose arm span is 164? ______________________________________________________________________ ______________________________________________________________________ ______________________________________________________________________ Name: ________________________ Advisory Book #: _______ Part 4: Systems of Equations 1. Solve the systems of equations below by graphing on the coordinate plane: 2. Solve the systems of equations below by graphing on the coordinate plane: Name: ________________________ Advisory Book #: _______ 3. Solve each system of equations below using substitution : (a) (b) (c) Ans . (a) ________________ (b) ________________ (c) ________________ 4. Solve each system of equations below using elimination : (a) (b) (c) Ans . (a) ________________ (b) ________________ (c) ________________
