End of the year test day 2 #3 8th Grade Pre-Algebra / 8th Grade Math Periods 2 & 3 (Ms. Schmalzbach) Student Name/ID: 1. For the figure below, do a dilation centered at the origin with a scale factor of Then, give the endpoints for both the original figure and the final figure. Endpoints of original figure: Top: Bottom: Endpoints of final figure: Top: Bottom: ALEKS End of the year test day 2 #3-05/28/2015 09:34 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 1/18
2. A printer is printing photos. The table shows the number of photos printed in different amounts of time (in minutes). Using for the time and for the number of photos, do the following. Plot the ordered pairs described by the table. Write an equation relating and Time, (in minutes) Number of photos, Equation: ALEKS End of the year test day 2 #3-05/28/2015 09:34 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 2/18
3. The data points on the scatter plot below show the number of hours worked and the amount of money spent on entertainment last week by each of students. Draw the line of best fit for these data points. (It doesn't have to be the exact line of best fit. Just draw your best approximation.) 4. For the following right triangle, find the side length Round your answer to the nearest hundredth. ALEKS End of the year test day 2 #3-05/28/2015 09:34 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 3/18
5. Graph the line. ALEKS End of the year test day 2 #3-05/28/2015 09:34 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 4/18
6. Shown below are the scatter plots for four data sets. Answer the questions that follow. Figure 1 Figure 2 Figure 3 Figure 4 (a) Choose the data set that shows clustering. Data set in Figure 1 Data set in Figure 2 Data set in Figure 3 Data set in Figure 4 (b) Choose the two data sets that have outliers. Data set in Figure 1 Data set in Figure 2 Data set in Figure 3 Data set in Figure 4 ALEKS End of the year test day 2 #3-05/28/2015 09:34 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 5/18
7. The scatter plot shows the theater revenue and rental revenue for each of movies. Also shown is the line of best fit for the data. Fill in the blanks below. a. b. For these points, as theater revenue ( ) increases, rental revenue ( ) tends to. (1). increase (2). decrease (3). stay the same For these movies, the correlation between theater revenue and rental revenue is. (1). negative (2). positive (3). zero c. Using the line of best fit, we would predict that a movie generating a theater revenue of dollars would generate a rental revenue of approximately million dollars. (1). 3.3 (2). 5.0 (3). 6.8 (4). 8.5 (5). 10.3 million 8. The radius of a cylindrical construction pipe is If the pipe is long, what is its volume? Use the value for and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. ALEKS End of the year test day 2 #3-05/28/2015 09:34 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 6/18
9. Use the graph to determine the behavior of the function between the indicated points. ALEKS End of the year test day 2 #3-05/28/2015 09:34 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 7/18
10. The scatter plot shows the time spent studying, and the midterm score, for each of students. Use the equation of the line of best fit, to answer the questions below. Give exact answers, not rounded approximations. (a) What is the predicted midterm score for a student who doesn't spend any time studying? (b) For an increase of one hour in the time spent studying, what is the predicted increase in the midterm score? (c) What is the predicted midterm score for a student who studies for hours? ALEKS End of the year test day 2 #3-05/28/2015 09:34 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 8/18
11. Graph the line. 12. For each equation, determine whether it is linear. ALEKS End of the year test day 2 #3-05/28/2015 09:34 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 9/18
13. Graph the line. 14. The diameter, of a sphere is Calculate the sphere's volume, Use the value for and round your answer to the nearest tenth. (Do not round any intermediate computations.) 15. Find the slope of the line passing through the points and ALEKS End of the year test day 2 #3-05/28/2015 09:34 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 10/18
16. Fill in the table using this function rule. 17. Draw the image of the following segment after a dilation centered at the origin with a scale factor of ALEKS End of the year test day 2 #3-05/28/2015 09:34 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 11/18
18. Find the distance between the points and given below. (That is, find the length of the segment connecting and ) Round your answer to the nearest hundredth. 19. Translate down unit. Then reflect the result over the -axis. What are the coordinates of the final point?,&sp; ALEKS End of the year test day 2 #3-05/28/2015 09:34 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 12/18
20. Determine whether a triangle with the given side lengths is a right triangle. Side lengths Right triangle Not a right triangle Not enough information ALEKS End of the year test day 2 #3-05/28/2015 09:34 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 13/18