1. Define a quadratic equation; a pure quadratic; an affected (or complete) quadratic; an equation in the quadratic form. 2. Solve the pure quadratic Review the first (or usual) method of completing the square. Solve by it the following: 3. 4. 5. 6. Review the solution by factoring. Solve by it the following: 7. 8. 9. 10. Solve, by factoring, these equations, which are not quadratics: 11. 12. 13. Review the solution by formula. Solve by it the following: 14. 15. 16. 17. Solve graphically: 18. 19. Reference: The chapter on Quadratic Equations in any algebra (first part of the chapter). 1. Solve by three methods—formula, factoring, and completing the square: Review equations in the quadratic form and solve: 2. 3. 4. (Let and substitute.) 5. 6. Solve and check: 7. 8. 9. Give results by inspection: 10. 11. 12. How many gallons each of cream containing 33% butter fat and milk containing 6% butter fat must be mixed to produce 10 gallons of cream containing 25% butter fat? 13. I have $6 in dimes, quarters, and half-dollars, there being 33 coins in all. The number of dimes and quarters together is ten times the number of half-dollars. How many coins of each kind are there? (College Entrance Board.) Reference: The last part of the chapter on Quadratic Equations in any algebra. |