1) Use the table below to determine the corresponding “y” values for the given “x” values for the function, y = 2x – 5. When x = 1, the function rule is y = 2(1) – 5 and the output is y = –3. State the rule, and then the value for “y” when x = 2, 3, 4, and 5. |
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2) In the previous problem, when x = 1, the ordered pair for the function, y = 2x – 5 is (1, –3). What are the four ordered pairs for x = 2, 3, 4, and 5? |
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3) On graph paper, graph the points listed in the previous problem. Connect the points. Describe the figure. |
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4) Why is the following set of ordered pairs considered a relation and NOT a function? |
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5) Given the ordered pairs shown below, what must be done to the x-coordinate to obtain the corresponding y-coordinate? |
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6) For the function shown below, look at the y-values of the ordered pairs. In words, describe how to determine the y-coordinate given the x-coordinate? |
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7) For the function in the previous problem, which algebraic expression fits the function? |
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8) For the function referenced in the previous two problems, predict three more ordered pairs for the function. |
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9) In the table shown below, the same rule is used to match each number in the X-row with a number in the Y-row. The table is torn and part of it is missing. What number should replace the question mark above 53? |
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10) In the previous problem, what equation represents the rule for the function? |
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For the next two problems, refer to the following description of the triangular pyramid. The base edges are a triangle that measures 3 centimeters by 3 centimeters by 5 centimeters. The height of the base triangle is 1.6 centimeters. This height is drawn to the 5-centimeter edge. The height of the pyramid is 4 centimeters. |
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25) Explain how to find the height of a pyramid if the base area and the volume is known. (Hint: Work backwards.) |
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On graph paper, draw trapezoid ABCD with vertices A(–4,1), B(–2,4), C(1,4), and D(3,1) on a coordinate plane (with x-y axis). Draw the trapezoid three times in three different coordinate planes. For each of the next three problems, transform the trapezoid as directed to form a new image, and then list the ordered pairs of the image. (When starting each transformation, refer back to the original ordered pairs given, and then perform the action.) |
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26) Translate the trapezoid left 3 units. List the ordered pairs of the image. |
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27) Translate the trapezoid down 7 units. List the ordered pairs of the image |
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28) Reflect the trapezoid over the x-axis. List the ordered pairs of the image. |
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Draw a sketch of similarity based on the facts given, and then solve the next four problems. (Note: Draw the triangles so that vertex X corresponds to vertex R, vertex Y corresponds to vertex S, and vertex Z corresponds to vertex T.) |
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29) What is true about each of the corresponding angles of the similar triangles? |
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35) What is cost to carpet a hallway measuring 10 FEET by 3 FEET at $33 per SQUARE YARD? |
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36) Courtney solved the inequality, x + 6 > –2, and graphed the solution as shown below. What is wrong with Courtney’s graph? |
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38) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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