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Name _____________________________ Geometry SFA Review Sheet Date ______________ Period _____ 4th Six Weeks DIRECTIONS: Write the letter of the best answer choice in the given blank. On problem #13, bubble the grid correctly with your answer. Show your work when necessary. _____ 1. The graph of y = 0.2x 2 is shown to the right. Which of the following equations represents a graph that is wider than the graph of y = 0.2x 2? A y = 0.3x 2 B y = 0.2x 2 + 1 C y = 0.1x 2 D y = 0.2x 2 − 1 _____ 2. What is the effect on the graph of the equation y x 2 2.5 when the equation is changed to y x 2 2.5 ? F The graph of y x 2 2.5 is a reflection of y x 2 2.5 across the x-axis. G The graph of y x 2 2.5 is a translation of the graph of y x 2 2.5 . H The graph of y x 2 2.5 is a reflection of y x 2 2.5 across the y-axis. J The graph of y x 2 2.5 is a dilation of the graph of y x 2 2.5 . _____ 3. Which of the following is the vertex of the graph of y = 3x 2 − 8x + 4? 4 4 A , 3 3 1 B ,0 2 C 0, 4 2 D , 2 3 _____ 4. What are the solutions to the quadratic equation 2n 2 = 5n + 7? F n = −3.5 and n = −1 G n = −1 and n = 3.5 H n = 3.5 and n = 1 J n = 1 and n = −3.5 _____ 5. The graph of f (x) = x 2 + x − 6 is shown to the right. Which of the following is a zero of this function? A −6 B 3 C −2 D 2 _____ 6. The area of a rectangle is 144a8b4 square units. If the width of the rectangle is 8a 2b 2 units, what is the length in units? F 18a 6b 2 units G 136a 6b 2 units H 152a 10b 6 units J 1152a 10b 6 units 15 3 _____ 7. For which point is x < − and y < − ? 2 2 A M B N C P D Q 9 9 _____ 8. Which point on the grid below best represents the coordinate point , ? 2 4 F Point Q G Point M H Point V J Point K _____ 9. At what coordinates should vertex Z be placed to create a quadrilateral WXYZ that is similar to quadrilateral PQRS? A (24, 16) B (24, 24) C (20, 20) D (16, 24) _____ 10. If quadrilateral TUVW is reflected across the x-axis to become quadrilateral T′U′V′W′, what will be the coordinates of W′? F (−4, −2) G (4, −2) H (2, −4) J (−4, 2) _____ 11. A copy machine can enlarge or reduce letters proportionately. Which would not be an enlargement or reduction of the letter below? A B C D 1 _____ 12. All hot wheel toy models are of the actual car. To the right is a picture of a 1997 Corvette and 64 the hot wheels model. Which one do you think is the model? The diameter of the actual car wheel is 18 inches. What would be the diameter of the similar toy model car wheel? 1 F inches 1152 2 G inches 7 9 H inches 32 1 J inches 64 _____ 13. Bruce went to a barbershop for a haircut. The price for a haircut at this barbershop is $15, tax included. If Bruce tipped the barber 15% of the cost of the haircut and the tax, how much change in dollars and cents should he have received if he paid with a $20 bill? _____ 14. Mr. Salinas, a real estate agent, received a 5% commission on the selling price of a house. If his commission was $6,975, what was the selling price of the house? F $7,342 G $34,875 H $139,500 J $662,625 _____ 15. Mrs. Sandoval’s knitting basket contains 3 balls of blue yarn, 2 balls of white yarn, and 3 balls of red yarn. One evening Mrs. Sandoval randomly selected a ball of yarn from her basket and replaced it after she finished knitting. The next evening she randomly selected another ball of yarn from the basket. What is the probability that on the first evening the selected ball of yarn was white and that on the second evening the selected ball of yarn was red? 9 5 3 3 A B C D 64 8 32 28 _____ 16. Jerry has a CD case that contains 4 country music CDs, 1 rock-and-roll CD, 2 rap CDs, and 3 Tejano CDs. What is the probability of Jerry randomly selecting a Tejano CD and then, without replacing it, randomly selecting a rap CD from his case? 1 F 2 1 G 15 3 H 50 1 J 20 _____ 17. Of the 800 students at a local high school, 200 students have no siblings, 318 students have one sibling, 160 students have two siblings, and the rest of the students have three or more siblings. Use the key below to find the circle graph that best represents this information. A C B D _____ 18. The table shows a math department’s budget for the upcoming school year. Which bar graph best represents the data given in the table? F H G J Answer Key 1. C 2. G 3. A 4. G 5. D 6. F 7. B 8. G 9. B 10. J 11. D 12. H 13. 2.75 14. H 15. C 16. G 17. B 18. J