Name: _____________________________________ Math A Homework Quiz 40 M#D 1. Karen buys a blouse and pants for $145. If the pants cost $25 more than the blouse, how much do the pants cost? (1) $45 (2) $60 (3) $80 (4) $85 "If Mary and Tom are classmates, then they go to the same 5. school." Which statement below is logically equivalent? (1) If Mary and Tom do not go to the same school, then they are not classmates. (2) If Mary and Tom are not classmates, then they do not go to the same school. (3) If Mary and Tom go to the same school, then they are classmates. (4) If Mary and Tom go to the same school, then they are not classmates. Elaine is enclosing a triangular-shaped garden with 3 pieces of fence. She has 2 pieces. One piece is 12 feet long, and the other piece is 8 2. feet long. She needs to buy a third piece of fence for the third side of the garden. The length, in feet, of the third side could be (1) 16 (3) 20 (2) 2 (4) 4 A rectangular lot that is 60 feet by 80 feet has a straight diagonal pathway. What is the length, in feet, of the 6. diagonal pathway? What is the solution of the inequality 2x ! 1 < 0? 3. (1) x < 0 (3) x > !1 1 1 (2) x < (4) x > 2 2 A farmer grew 105 bushels of grain on a 3-acre plot. How many bushels can he 7. expect to grow under the same conditions on a 5-acre plot? (1) 20 (2) 140 1. 2. 3. (3) 20 (4) 100 4. 5. 6. 4. Solve for x: ! 9x + 9y = 4y ! 8x Which equation illustrates the multiplicative inverse property? (1) (adam)(eve) = (eve)(adam) 8. (2) adam + 0 = adam (3) adam eve eve ! adam =1 (4) adam eve + (" adam eve ) = 0 7. 8. Donald wants to determine the height of a tree in his backyard. When he is 20 feet from the base of the tree, the angle of elevation 9. from the ground to the top of the tree is 50! , as shown in the accompanying diagram. Which expression could be used to determine the height of the tree? cos 50! 20 tan 50! (2) 20 (1) Visit SHAHOMEWORK.com 9. (3) 20(cos 50! ) (4) 20(tan 50! ) Page 1 of 2 Created by J. Shahom (April 2005) Solve the system of equations algebraically: 10. (2 points) " 3x + y = 3 # $ y = 2x ! 7 10. Solve the system of equations algebraically: 11. (2 points) " y = x 2 ! 4x + 3 # $ y + 2 = 2x 11. The area of a trapezoid is 81 square feet. 12. Its bases measure 11 feet and 7 feet. Find the height of the trapezoid. The sum of two angles is 120!. If the measure ! 14. of the larger angle is 36 less than than three times the measure of the smaller angle, find 12. the measure of the larger angle. 13. 13. Find the area of a circle whose diameter is 20 cm. 15. If Sandy gets an 85 or higher on the Math A Regents Exam, he will not be required to take a remedial math course at college and will save 5% of the $10,000 tuition. How much money would he save if he scores 85 or higher? 14. 15. 16. (3 points) In the accompanying diagram, AC = 10, AB = 24, and CB is a diameter of the circle. Find the area of the circle the nearest tenth of a square unit. 16. Visit SHAHOMEWORK.com Page 2 of 2 Created by J. Shahom (April 2005)