Colegio San Patricio<br />5th. Period Review <br />School Year 2010 – 2011<br />Name ___________________________________________________List No._________8th_________<br />Teacher_________________________________________________ Date_______________________<br />Probability <br />Answer the following. You MUST SHOW process.<br />1. In a box you have the following colors of candies: 2 gums, 3 lollipops, and 5 chocolates. What’s the probability of taking a lollipop out of that box?<br />a) 20%b) 30%c) 40%d) 50%<br />2. The probability of going out during vacations is 5/10, meanwhile the probability of staying home to work is 2/6. What’s the probability of going out and NOT working?<br />a) 1/6b) 1/ 3c) 5/6d) 7/ 6<br />Solving Linear Systems <br />3. Determine whether (1,2) is a solution to the following equation:<br />2x – 5y = -8 <br /> -x + 2y = 3 <br />Solve the following system of equations:<br />4. By GRAPHING method.<br />4x – y = 1 <br />x + y = 4 <br />5. By SUBSTITUTION method.<br />x – 2y = 4<br /> -2x + y = 3<br />6. By ELIMINATION or linear COMBINATION method.<br />-2x + 3y = 15<br />-6x + 6y = 18<br />Radicals <br />7. √(63) 8. √(3/4) <br />9. √(1/8) 10. √(48) <br />Polynomials <br />Solve the following polynomials.<br />11. -(-x2 + 8x - 7) + (15x2 - 6x - 3)12. Subtract (x2 - 2x + 4) from (12x2 – 5x +6)<br />13. (x5)2(3x0 + 4x +2)14. -8x18<br /> -12x25<br />Numerical Sequences <br />15. From the following numerical sequence 3, 5, 7, 9, …, what is the number on the 8th.position?<br />a) 11b) 13c) 17d) 19<br />Counting Techniques <br />16. A woman wants a salad and a drink for dinner. At the snack bar, three kind of salads available, chicken, shrimp and fajitas. The available drinks are diet coke, water and milk, side orders are bread sticks and garlic bread. <br />How many possible lunches can the woman have?<br />If the she is on strict diet and can not order shrimp and always orders diet coke. How many meals can she have?<br />Angle Relationship <br />17. From the figure below answer the following:<br />m<4 = ______________<br />21m<6= ______________<br />67°43<br />65<br />78<br />Volumes <br />Draw and state the volume of the following figures: <br />18. A cube which side measures 8cm.<br />19. A triangular pyramid with the following measures:<br />Base = 6 cmHeight = 13 cm<br />20. A hexagonal prism with the following measures:<br />Base = 3 cmApothem = 4 cmHeigth = 8 cm<br />