MAT135 Review for Test IV Spring 2010 Dugopolski 1 1. Solve for y: 4 4 3 7 0yy, where x is a real number. 2. Multiply and simplify: (6 8 )(3 9 )ii. 3. Solve: 2(3 1) 9 1k. 4. Find the value of t such that 28z z t is a perfect square. 5. If 2( ) 8 and ( ) 8 11f x x g x x find all value(s) of x such that f(x)=g(x). 6. Solve: 210 4 0xx. 7. Write the quadratic equation that has 2, 10xx as solutions. 8. Solve for z: 21332 3 0zz. 9. Use the discriminant to find the number and type of solutions for 245xx. 10. Find the vertex and domain and range of: 2( ) 3 18 5.f x x x 11. The temperature, t, in degrees Farenheit, of a chemical reaction is approximated by the function 2( ) 3 36 70t s s s where s is the number of seconds after the reaction begins. What is the lowest temperature attained by the reaction, and when will it occur? 12. Consider the function 2( ) 9 20.f x x x Which statement(s) is/ are true? a. The roots occur at (4,0) and ( 5,0). b. The vertex is at 91( , )24. c. The y-intercept is at (-20,0). d. The domain is ( , ). e. The graph is a parabola that opens upward. 13. Simplify: 1525.MAT135 Review for Test IV Spring 2010 Dugopolski 2 14. Solve: 22 16 0x. 15. What is the range, in interval notation, of the function below? You may assume that each tick mark represents one unit. y 16. Simplify: 18 726. 17. Evaluate and simplify: 2(2 3 )i. 18. Evaluate: 16( 5 16). 19. Solve by completing the square: 26 7 0xx. 20. What is the vertex of the graph of the quadratic function 2( ) 2 4 1f x x x?
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