Name ______________________________________ Date Due



Name _________________________________ Date Due: Algebra Regents Review #8Directions:? Choose the best answer.? Answer ALL questions. Show ALL work in column 2. If there is no mathematical work to be shown, write an explanation or definition to support your answer! This counts as a quiz grade!!!1.The Carolina Panthers play 8 home games each year. Tickets cost an average of $35. The stadium seats 74,000 people. Revenue is a function of the number of tickets sold. For one game, which is the domain of the function in the context of this situation?0 ≤ t ≤ 74,000{0, 1, 2, 3, …, 74,000}0 ≤ t ≤ 35{0, 35, 70, 105, …, 2,590,000}2. Solve for x:? 4(3x + 5) = 16.3. The graphs of the equations y = x2 + 4x - 1 andy + 3 = x are drawn on the same set of axes. At which point do the graphs intersect?(1,4) (1,-2) (-2,1) (-2,-5)4. Factor: y2 – 100( y – 10)2( y – 10)( y – 10)( y + 10)( y + 10)( y + 10)( y – 10)Express 9 – y4 as the product of two binomial factors.? (3 + y2 )(3 – y2)? (y2 + 3)( y2 – 3)? (3 – y2)(3 – y2)? (y2 + 3)( y2 + 3)Which expression is a solution for the equation 2x2 – x = 7?Either use Complete the square or quadratic formula will be accepted for an answer.What is the solution set of the equation 3x2 – 34x – 24 = 0?{–2, 6}{–12, }{–, 12}{–6, 2}9. What is the negative root in the equation x2 – x – 2 = 0?? 1? 2? –1? –210. What is the vertex for the quadratic equation y = (x + 6)(x ? 4)?(1, ?21)(4, 0)(?6, 0)(?1, ?25)Must provide a table of values11. If x2 + 2 = 6x is solved by completing the square, an intermediate step would be(x + 3)2 = 7(x ? 3)2 = 7(x ? 3)2 = 11(x ? 6)2 = 3412. If A = 4x2 – 3x + 6 and B = –7x2 + 3x + 6, find A – B 13) Alexandra purchases two doughnuts and three cookies at a doughnut shop and is charged $3.30. Briana purchases five doughnuts and two cookies at the same shop for $4.95. All the doughnuts have the same price and all the cookies have the same price. Find the cost of one doughnut and the cost of one cookie.14. Javon’s homework is to determine the dimensions of his rectangular backyard. He knows that the length is 10 feet more than the width, and the total area is 144 square feet. Find the dimensions, in feet, of Javon’s backyard.Width = Length = Only an algebraic solution will be accepted.15. Solve for x by zero product law.3(x-3)= x+4616. Which point is in the solution set of the following system of inequalities?y < 2x + 1y ≥ –x + 4(5, 0) 2. (?2, 1)(6, 6) 4. (1, 9)17. . What is the y-intercept of the parabola whose equation is y = x2 + 7x + 5??753118. Which sentence illustrates the associative property for multiplication?ab = ba a(bc) = (ab)c a · 1 = a a(b + c) = ab + ac 19. .Factor completely: 3x3y2 – 147x.3x(x2y2 – 49)3x(xy + 7)(xy – 7)3x3(y + 7)(y – 7)3x(xy – 7)220. . Solve for x in terms of a, b, and c: ax – 3b = ca(c + 3b)a(c -3b) INCLUDEPICTURE "" \* MERGEFORMATINET INCLUDEPICTURE "" \* MERGEFORMATINET 12. The parents of twin boys started a college fund when the boys were 5 years old.?They decided to invest $6,000 into an account that compounds quarterly at a rate of 8.6% annually.?If the parents do not invest any additional money into this fund, how much will each of the boys have toward his education when they reach 18 years old??Use the formula: , where?A is the amount at the end of a specific length of time, P is the initial amount of the investment, r?is the rate as a decimal and t is time.?Round your answer to the nearest cent.13. A used car was purchased in July 2000 for $11,900. If the car depreciates 13% of its value each year, what is the value of the car, to the nearest hundred dollars, in July 2003?14. Ms. Farnum was hired for a new job at a salary of $62,500 and was promised a 5% raise each year. What would Ms. Farnum's salary be, to the nearest dollar, after working there for the first year?15. The population of a small town has been gradually decreasing over the past number of years.? The equation: A = 1236(.97)t, where t is time in years, models the decrease in the town’s population.By what percent is the population decreasing yearly?21. Solve the following system of equations graphically and check:3y = - 2x + 12y - x = 4 ................
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