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| Algebra Final Review |
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1. Nala's rectangular yard is 6 feet longer than twice its width. She would like to know the area of her yard so she can buy the appropriate amount of fertilizer. Which expression represents the area of
2. Leonard needs a cube shaped toolbox that will hold 30 cubic ft. In order to know the length of each side of the toolbox, he needs to know the approximate value of the cube root of 30 (∛65). What is 3. A falling object's path is modeled by the equation s(t) = -16t^2 - 4t + 6. What are the solutions to the equation -16t^2-4t+6 = 0? 4. The following tree diagram could represent which two events? 5. The solutions to a quadratic equation, f(x) = 0, are x = 4 and x = -1. Which is a possible graph of f(x)? 6. What is the area of a square that has the side length of (4x^3y)/3? 7. Shaniqua needs to solve the quadratic equation x^2+5x-14=0. She decides to solve it by factoring. What are the factors of x^2 +5x-14? 8. If x + y = 7 and 4x + 2y = -3, then how many different solution(s) are there for the system? 9. Mrs. Kennedy created a box and whisker plot of the data collected from her students' grades on her last test. Which conclusion is possible for the information above? 10. Which of the following trinomials does not have rational roots? 11. Josh's science experiment required him to count the number of bacteria in a Petri dish every day for a week. At the end of the week, Josh graphed his data and noticed an exponential relationship betwe 12. You have been asked to collect data concerning the number of times shoppers visit the mall each week. Which of the following actions would provide you with a random sample? 13. Which equation is represented by the graph? 14. What is the slope of the graph of 6x + 2y = 10? 15. Which relation is not a function? 16. During a 5-day week of math class, Mrs. Smith doubles the number of homework problems she assigns every day. If she assigned 5 problems on Monday, what is the total number of problems for the week? 17. What is the solution for the inequality: - 5x + 7 < 22? 18. Amy buys a pair of jeans at 30% off the original price of $40. She also has a $5 off coupon that is applied after the discount. How much is the pre-tax total? 19. Given the graph below; Which inequality is represented by the graph? 20. Which number is not between 3 and 4? 21. The Smith Furniture Company has increased its profits over the past 5 years as shown in the table. If the pattern continues, what will their profit be in 2008? 22. What is the solution for the equation - 2x + 9 = 31? 23. What is the simplest for of sq root of 27 + sq root of 48? 24. The sum of two numbers is 42. Twice the first number minus the second number is equal to 6. What is the value of the first number? 25. Which equation represents a linear function? 26. Mr. Green is purchasing a fence for his backyard. Which expression represents the amount of fencing Mr. Green will need? (Note: No fencing is required between the house and the yard). 27. Which inequality would give a solution represented by the graph? 28. If a point has a coordinate ( 3, -4), what coordinates for point B would give an undefined slope for the line passing through points A and B? 29. A movie theater charges $3 for students and $5 for adults. If 62 people attended a movie for which the theater collected $250, how many adults attended a movie? |
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