2. If triangle ABC is translated 2 units right and 3 units up, what are the coordinates of C'?
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1 Accelerated Algebra 1/Geometry A Summer Work Name: Please complete each of the following questions. You may use a calculator but you should show all steps to problem solving. You will turn this in to Ms. Shaffer or Mr. Tolbert on the first day of your class. Please seek tutoring if topics covered in this packet are unfamiliar or you do not remember the concepts. It is expected that ALL students entering Accelerated Algebra 1/Geometry A have had exposure to this material. We will not be covering this material in our class, but you will be tested on these concepts. 1. Which of the following best represents? A number between and. 5 and 6 7 and 8 6 and 7 4 and 5 2. If triangle ABC is translated 2 units right and 3 units up, what are the coordinates of C'? (-4, 1) (0, -5) (0, 1) (3, 5) 3. What can be interpreted from the scatter plot? There is some negative and some positive association between number of hours of daily TV viewing and math quiz scores. There is a positive association between number of hours of daily TV viewing and math quiz scores. There is no assocation between number of hours of daily TV viewing and math quiz scores. There is a negative association between number of hours of daily TV viewing and math quiz scores.
2 4. Find the distance between A and 5. The system of equations above is graphed. y = 2x + 4 y = -x + 1 What is the solution to the system of equations? (-1, 1) (-2, 0) (-1, 2) (0, 1) 6. Simplify: ( ) + ( ) Triangle KLM is similar to triangle DEF, and the hypotenuses of the triangles both lie on line The slope of line A between (4, 8) and (0, 0) is 2. What is the slope of line A between (-2, -4) and (-4, - 8)?
3 8. Which of the following scatter plots shows the line of best fit? W. X. Y. Z. 9. The graph below shows a line of best fit for data collected on the amount of time students spent studying in relation to their score on a test. The equation of the line of best fit is y = 10x What does the y-intercept represent? the total number of hours the students spent studying the total number of questions on the test the test score of a student who did not study the average number of hours the students spent studying
4 10. Which of the following functions is not linear? 11. George drove 240 miles to his grandmother's house. The graph below shows the relationship between the distance he traveled and time. What does the slope of the graph represent? George's speed in miles per minute. George's speed in minutes per mile. The total distance George has left to travel. The total distance George has traveled. 12. Which series of transformations shows that pentagon A is congruent to pentagon B? Rotate pentagon A 90 counterclockwise about the origin, reflect it over the x-axis, and translate it 8 units to the right and 1 unit up. Reflect pentagon A over the y-axis, rotate it 180 clockwise about the origin, and translate it 3 units up. Reflect pentagon A over the y-axis and translate it 2 units to the left and 8 units up. Rotate pentagon A 90 clockwise about the point (3, 1), reflect it over the x-axis, and translate it 3 units to the left. 13. Which of the following equations has infinitely many solutions? 3x + 5 = 3 3(x + 5) + 3 = 9x + 3(x + 3) 3x + 5(3x + 9) = 18x x + 3 = 3x + 9
5 14. Which of the following best describes the triangles shown below? Triangle 1 and triangle 2 are congruent because triangle 2 can be created by rotating, reflecting, and/or translating triangle 1. Triangle 1 and triangle 2 are similar because triangle 2 can be created by rotating, reflecting, and/or translating triangle 1. Triangle 1 and triangle 2 are congruent because triangle 2 can be created by rotating, reflecting, and/or translating and dilating triangle 1. Triangle 1 and triangle 2 are similar because triangle 2 can be created by rotating, reflecting, and/or translating and dilating triangle A cylinder has a volume of cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder? 40.5 cm cm 8.1 cm cm 16. Which of the following is equivalent to the expression shown below?
6 17. For a research project, Judith surveyed 120 adults whether or not they played a musical instrument in elementary, middle, and high school. Based on the data she collected, Judith concluded that the majority of adults surveyed, played a musical instrument in elementary school. Which two-way table is a possible representation of the data she collected? W. X. Y. Z. 18. The mass of Pluto is approximately kg, while the mass of Neptune is approximately kg. Which of the following is true? The mass of Neptune is approximately one thousand times that of Pluto. The mass of Neptune is approximately ten thousand times that of Pluto. The mass of Pluto is approximately one thousand times that of Neptune. The mass of Pluto is approximately ten thousand times that of Neptune. 19. Line A goes through the points (1, 5) and (-1, 9). Line B goes through the points (0, 2) and (4, -6). Which of the following statements is true? Line A intersects line B at point (-1, 3). More information is needed to determine whether or not line A intersects line Line A intersects line B at point (2, 2). Line A never intersects line 20. If x = 3 cm and z = 5 cm, what is the length of y? 3 cm 0.5 cm 5 cm 4 cm
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